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Search Results (775)

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Keywords = fault-tolerant-control

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26 pages, 2547 KiB  
Article
ASILO-Based Active Fault-Tolerant Control of Spacecraft Attitude with Resilient Prescribed Performance
by Ze Yang, Baoqing Yang, Ruihang Ji and Jie Ma
Electronics 2025, 14(1), 181; https://doi.org/10.3390/electronics14010181 (registering DOI) - 4 Jan 2025
Viewed by 184
Abstract
In this study, an active fault-tolerant control problem was addressed for a rigid spacecraft in the presence of unknown actuator faults, uncertainties, and disturbances. First, an adaptive sliding mode iterative learning-based observer (ASILO) is proposed for diagnosing and reconstructing unknown faults. It achieves [...] Read more.
In this study, an active fault-tolerant control problem was addressed for a rigid spacecraft in the presence of unknown actuator faults, uncertainties, and disturbances. First, an adaptive sliding mode iterative learning-based observer (ASILO) is proposed for diagnosing and reconstructing unknown faults. It achieves greater accuracy and rapidity while consuming less computing resources by constructing adaptive gain based on an auxiliary error. Specifically, it significantly improved the computational efficiency by 76% compared with the Strong Tracking Kalman Filter while achieving a similar accuracy. It also enhanced the accuracies relative to the traditional ILO and adaptive ILO by 67% and 36%, respectively, and demonstrated 82% and 52% increases in rapidity. Then, fault-tolerant control with resilient prescribed performance (RPP) that can adapt to changing initial conditions and adaptively adjust performance constraints online by sensing faults and error trends is proposed. It avoided the control singularity by constructing adaptive resilient boundaries with almost no impact on the computational overhead. It significantly improved the performance and conservatism. Finally, the robustness and effectiveness of the proposed strategy were demonstrated by numerical simulations. Full article
23 pages, 5921 KiB  
Article
Energy-Efficient and Fault-Tolerant Control of a Six-Axis Robot Based on AI Models
by Patryk Nowak and Zoran Pandilov
Energies 2025, 18(1), 20; https://doi.org/10.3390/en18010020 - 24 Dec 2024
Viewed by 331
Abstract
This paper describes the task of controlling a robot to enable energy savings in the case of one- or two-axis failure. The proposed algorithms are tested in a task similar to “pick and place” but without gripping. Obstacles are present in the robot’s [...] Read more.
This paper describes the task of controlling a robot to enable energy savings in the case of one- or two-axis failure. The proposed algorithms are tested in a task similar to “pick and place” but without gripping. Obstacles are present in the robot’s workspace. The goal of the algorithm is to control the robot in such a way that energy consumption is minimized while also avoiding obstacles and ensuring fault tolerance in the event of axis failures. The algorithm uses a developed torque model of the robot, which is employed to calculate the energy requirements for each possible movement step in the robot’s position. In the robot’s control system, artificial intelligence methods are also applied. Specifically, a genetic algorithm is used to generate learning data for the selection of the optimal kinematic configuration of the robot, and a multilayer perceptron is utilized to predict the parameters of the defined reward function. This function is crucial for selecting the optimal action at each time step. The study demonstrates that the application of the algorithm leads to a reduction in robot energy consumption. Studies conducted in simulation and verified on a real robot for 10 different obstacle and target positions and 22 possible kinematic configurations of the robot, consisting of all axes active, any one axis inactive, or any two axes inactive, confirm the energy-saving possibilities. Full article
(This article belongs to the Section F5: Artificial Intelligence and Smart Energy)
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<p>Model of the robot in the MuJoCo virtual environment.</p>
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<p>Anti-collision model of the robot in the MuJoCo virtual environment.</p>
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<p>Illustration of the control of a three-axis robot: (<b>a</b>) view of the robot on the test bench showing the robot arms, points on the trajectory, and the trajectory of motion; (<b>b</b>) markings of points and axes; (<b>c</b>) model of the robot with the trajectory of motion marked and markings of the angles of rotation for each axis; (<b>d</b>) enlargement of the area showing the possible TCP displacements in the selected step of the robot for the three active axes.</p>
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<p>Diagram of the preparation of learning data in the first stage.</p>
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<p>Diagram of the preparation of learning data in the second stage.</p>
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<p>Architecture of the neural networks used.</p>
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<p>System operation diagram.</p>
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<p>Robot energy consumption measurement diagram. (L1, L2, L3—power phase cables, N—neutral cable, A—clamp ammeter, ADC—analog input to the microcontroller, UART—serial communication, TCP-IP—transmission control protocol/internet protocol, PC—personal computer).</p>
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<p>The illustration of the algorithm performance (energy consumption) when the energy criterion is used; colors: gray—situations for which the target points are outside the working area (energy consumption is not calculated), blue—situations solved by the GA, yellow—situations that were in the working area but the GA did not solve them, green—situations in which energy consumption is the lowest.</p>
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<p>Environmental situation M1K1: (<b>a</b>) generated TCP motion path with position of obstacles and target points; (<b>b</b>) angular position of individual axes in time; (<b>c</b>) positions of target points and obstacles on the <span class="html-italic">xy</span> plane; (<b>d</b>) positions of target points and obstacles on the <span class="html-italic">xz</span> plane; (<b>e</b>) positions of target points and obstacles on the <span class="html-italic">yz</span> plane.</p>
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<p>Environmental situation M1K1: (<b>a</b>) generated TCP motion path with position of obstacles and target points; (<b>b</b>) angular position of individual axes in time; (<b>c</b>) positions of target points and obstacles on the <span class="html-italic">xy</span> plane; (<b>d</b>) positions of target points and obstacles on the <span class="html-italic">xz</span> plane; (<b>e</b>) positions of target points and obstacles on the <span class="html-italic">yz</span> plane.</p>
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<p>Graph of the current and torque versus time for the same example trajectory 1.</p>
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<p>Graph of the current and torque versus time for the same example trajectory 2.</p>
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28 pages, 11832 KiB  
Review
Technological Trends for Electrical Machines and Drives Used in Small Wind Power Plants—A Review
by Daniel Fodorean
Energies 2024, 17(24), 6483; https://doi.org/10.3390/en17246483 - 23 Dec 2024
Viewed by 322
Abstract
High-power-range wind generators mainly employ classical variants, with the advantages of low cost, high robustness and acceptable energetic performance, while for low-power applications, the available electrical drive solutions are more numerous. This paper investigates the current trend in this field, indicating simple or [...] Read more.
High-power-range wind generators mainly employ classical variants, with the advantages of low cost, high robustness and acceptable energetic performance, while for low-power applications, the available electrical drive solutions are more numerous. This paper investigates the current trend in this field, indicating simple or complex structures, with or without self-excitation and with or without mechanical or magnetic transmission. The discussed variants are compared in terms of complexity, cost, fault-tolerance capability and estimated energetic performances but also the grid connectivity for standard conditions. The review is completed by testing options and conditions, as well as the methods for parameter determination, which have an important effect on the controllability of the entire system. Full article
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<p>A wind turbine equipped with 700 W PMSG.</p>
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<p>Electric generator configurations without permanent magnets: (<b>a</b>) SG; (<b>b</b>) AIG/DFIG; (<b>c</b>) SynRG; (<b>d</b>) axially laminated rotor for SynRG; (<b>e</b>) standard SRG; (<b>f</b>) modular SRG.</p>
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<p>Electric generator configurations with permanent magnets: (<b>a</b>) PMSG with surface mounted magnets; (<b>b</b>) PMSG with half-inserted magnets; (<b>c</b>) PMSG with inserted magnets; (<b>d</b>) S-PMSG; (<b>e</b>) CP-PMSG; (<b>f</b>) AF-PMSG; (<b>g</b>) T-PMSG; (<b>h</b>) TF-PMG; (<b>i</b>) CR-PMSG.</p>
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<p>DESG studied variants: (<b>a</b>) with auxiliary field winding on rotor core (DESG1); (<b>b</b>) with auxiliary field winding on stator core, and surface mounted magnets (DESG2); (<b>c</b>) with auxiliary field winding on the stator armature and spoke rotor variant (DESG3); (<b>d</b>) with homopolar auxiliary winding placed on stator armature (DESG4).</p>
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<p>SESG studied variants: (<b>a</b>) SESG1, with common inner rotor and double excitation on rotor armature; (<b>b</b>) SESG2, having two rotors: with spoke magnet part and an electromagnet part, while sharing the same stator armature.</p>
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<p>Flux-density in the airgap while injecting negative current in the auxiliary field winding: (<b>a</b>) for SESG1; (<b>b</b>) for SESG2.</p>
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<p>Wind generator: (<b>a</b>) with mechanical transmission; (<b>b</b>) with integrated magnetic gear.</p>
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<p>Cross-section of the studied PMSG-IMG.</p>
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<p>Six-phases PMSG: (<b>a</b>) 3D view of the geometry; (<b>b</b>) the 6-phase star connection; (<b>c</b>) the 6-phases induced <span class="html-italic">emf</span>.</p>
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<p>Nine-phase PMSG: (<b>a</b>) field lines (positive &amp; negative poles); (<b>b</b>) phase currents (<b>top</b>) and torque (<b>bottom</b>).</p>
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<p>The components of the wind power plant, and the necessity of power electronic equipment.</p>
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<p>Converters used in small wind power plants: (<b>a</b>) 3-phase rectifier; (<b>b</b>) classic <span class="html-italic">dc</span> boost converter; (<b>c</b>) interleaved <span class="html-italic">dc</span> boost converter; (<b>d</b>) H-bridge converter (mono-phased inverter) with transformer (for galvanic insulation).</p>
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<p>Multilevel inverters and their voltage profiles: (<b>a</b>) 3-phase two-level inverter; (<b>b</b>) 3-phase three-level inverter; (<b>c</b>) 3-phase five-level inverter; (<b>d</b>) voltage profile for two-level inverter; (<b>e</b>) voltage profile for three-level inverter; (<b>f</b>) voltage profile for five-level inverter.</p>
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<p>Multi-phase power electronic converter structures: (<b>a</b>) 6-phase inverter; (<b>b</b>) 9-phase <span class="html-italic">H</span> bridge inverter; (<b>c</b>) 9-phase fault tolerant inverter.</p>
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<p>The phase currents on one-star of the 9-phase inverter used to feed the 9-phase PMSG: (<b>a</b>) healthy case; (<b>b</b>) one faulted phase and no compensation; (<b>c</b>) faulted phase compensation.</p>
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<p>Example of Z source three-phase inverter used in wind power generation.</p>
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<p>Multisource inverter examples: (<b>a</b>) with 9 switches; (<b>b</b>) with 12 switches &amp; 6 diodes; (<b>c</b>) with 11 switches.</p>
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<p>Laboratory electric schemes for generator testing: (<b>a</b>) autonomous <span class="html-italic">ac</span> generators; (<b>b</b>) synchronous generators (PMSG and SG with excitation coil); (<b>c</b>) self-excited electric generators.</p>
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<p>Wind power emulator based on PMSG-IMG: (<b>a</b>) photography of the laboratory setup (with a closer look on the PMSG-IMG itself); (<b>b</b>) speed and voltage characteristics in no-load conditions; (<b>c</b>) voltage and current in load conditions; (<b>d</b>) torque in load conditions.</p>
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28 pages, 2214 KiB  
Article
Fault-Tolerant Time-Varying Formation Trajectory Tracking Control for Multi-Agent Systems with Time Delays and Semi-Markov Switching Topologies
by Huangzhi Yu, Kunzhong Miao, Zhiqing He, Hong Zhang and Yifeng Niu
Drones 2024, 8(12), 778; https://doi.org/10.3390/drones8120778 - 20 Dec 2024
Viewed by 368
Abstract
The fault-tolerant time-varying formation (TVF) trajectory tracking control problem is investigated in this paper for uncertain multi-agent systems (MASs) with external disturbances subject to time delays under semi-Markov switching topologies. Firstly, based on the characteristics of actuator faults, a failure distribution model is [...] Read more.
The fault-tolerant time-varying formation (TVF) trajectory tracking control problem is investigated in this paper for uncertain multi-agent systems (MASs) with external disturbances subject to time delays under semi-Markov switching topologies. Firstly, based on the characteristics of actuator faults, a failure distribution model is established, which can better describe the occurrence of the failures in practice. Secondly, switching the network topologies is assumed to follow a semi-Markov stochastic process that depends on the sojourn time. Subsequently, a novel distributed state-feedback control protocol with time-varying delays is proposed to ensure that the MASs can maintain a desired formation configuration. To reduce the impact of disturbances imposed on the system, the H performance index is introduced to enhance the robustness of the controller. Furthermore, by constructing an advanced Lyapunov–Krasovskii (LK) functional and utilizing the reciprocally convex combination theory, the TVF control problem can be transformed into an asymptotic stability issue, achieving the purpose of decoupling and reducing conservatism. Furthermore, sufficient conditions for system stability are obtained through linear matrix inequalities (LMIs). Eventually, the availability and superiority of the theoretical results are validated by three simulation examples. Full article
(This article belongs to the Section Drone Communications)
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<p>Tracking errors of <math display="inline"><semantics> <mrow> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mn>2</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mn>3</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mn>4</mn> </mrow> </msub> </mrow> </semantics></math> with TVCDs and external disturbances from <math display="inline"><semantics> <mrow> <mi>t</mi> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math> s to <math display="inline"><semantics> <mrow> <mi>t</mi> <mo>=</mo> <mn>12</mn> </mrow> </semantics></math> s. (<b>a</b>) Proposed method; (<b>b</b>) Cheng’s method in [<a href="#B11-drones-08-00778" class="html-bibr">11</a>].</p>
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<p>Curves of formation performance evaluation with TVCDs and external disturbances from <math display="inline"><semantics> <mrow> <mi>t</mi> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math> s to <math display="inline"><semantics> <mrow> <mi>t</mi> <mo>=</mo> <mn>12</mn> </mrow> </semantics></math> s. (<b>a</b>) Proposed method; (<b>b</b>) Cheng’s method in [<a href="#B11-drones-08-00778" class="html-bibr">11</a>].</p>
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<p>Tracking errors of <math display="inline"><semantics> <mrow> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mn>2</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mn>3</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>x</mi> <mrow> <mi>i</mi> <mn>4</mn> </mrow> </msub> </mrow> </semantics></math> with actuator faults under semi-Markov switching topologies.</p>
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<p>Curves of formation performance evaluation with actuator faults under semi-Markov switching topologies. (<b>a</b>) Proposed method; (<b>b</b>) Miao’s method in [<a href="#B29-drones-08-00778" class="html-bibr">29</a>]; (<b>c</b>) Shen’s method in [<a href="#B44-drones-08-00778" class="html-bibr">44</a>].</p>
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<p>Topologies structure diagram of MAS (<a href="#FD2-drones-08-00778" class="html-disp-formula">2</a>).</p>
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<p>Topologies switching.</p>
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<p>Trajectory tracking 3D diagram.</p>
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<p>Trajectories on eastern, northern, and vertical position and velocity.</p>
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<p>Curves of tracking formation performance.</p>
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13 pages, 3031 KiB  
Article
An Isolated Modular Multilevel DC Converter with Unipolar-to-Bipolar Conversion
by Haiqing Cai, Jingpeng Yue, Ranran An, Haohan Gu and Zihan Zhang
Electronics 2024, 13(24), 4993; https://doi.org/10.3390/electronics13244993 - 19 Dec 2024
Viewed by 536
Abstract
Deep-sea offshore wind power generation has gained increasing attention in the past decade. The low cost and high efficiency of the DC grid system make it more competitive when the transmission distance is over 100 km. As the key enabler of the DC [...] Read more.
Deep-sea offshore wind power generation has gained increasing attention in the past decade. The low cost and high efficiency of the DC grid system make it more competitive when the transmission distance is over 100 km. As the key enabler of the DC grids, DC converters are necessitated to interconnect the DC lines with different voltage levels. Instead of using auxiliary circuits, this paper proposes a low-cost isolated modular multilevel DC converter (IMMDC) with unipolar-to-bipolar conversion topology to fit into the DC grids with different configurations. Moreover, the proposed DC-current-injection-based fault-tolerant scheme can maintain around 50% power transmission capability even under single pole open-circuit fault conditions for a certain period, enhancing the power supply continuity. The modularity and scalability of the proposed IMMDC topology can fit into different DC grid systems. The effectiveness and feasibility of the proposed topology and control strategy are verified using a 50 kV/±300 kV/100 MW MATLAB/Simulink 2022b simulation model. Full article
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<p>Future offshore wind DC transmission architecture.</p>
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<p>Existing solutions for unipolar-to-bipolar power conversion. (<b>a</b>) system configuration with two sets of converters; (<b>b</b>) IPOS topology; (<b>c</b>) integrated-balancing bipolar circuit; (<b>d</b>) neutral point clamped (NPC) circuit.</p>
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<p>Topology of IMMDC with unipolar-to-bipolar conversion.</p>
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<p>Key waveforms of the IMMDC with unipolar-to-bipolar conversion under symmetrical operation. (<b>a</b>) Switching signals of Phase-<span class="html-italic">a</span> upper arm submodules; (<b>b</b>) Switching signals of Phase-<span class="html-italic">a</span> lower arm submodules; (<b>c</b>) Phase-<span class="html-italic">a</span> upper arm voltage; (<b>d</b>) Phase-<span class="html-italic">a</span> lower arm voltage; (<b>e</b>) Primary-side AC voltage of the MFT; (<b>f</b>) Secondary-side AC voltage of the MFT; (<b>g</b>) Current of the MFT.</p>
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<p>Unipolar side modulation strategy under asymmetric operating conditions. (<b>a</b>) Injected forward DC current component. (<b>b</b>) Injected reverse DC current component.</p>
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<p>System-level control block diagram of the IMMDC with unipolar-to-bipolar conversion.</p>
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<p>Changes in the waveforms of transmission power.</p>
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<p>The waveform of the arm voltage changes in Phase-<span class="html-italic">a</span>.</p>
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<p>The waveform of the arm current changes in Phase-<span class="html-italic">a</span>.</p>
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<p>The waveform of the arm current changes in Phase-<span class="html-italic">c</span>.</p>
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<p>Waveforms of the AC voltage and current changes on the primary and secondary sides.</p>
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12 pages, 6970 KiB  
Article
On the Feasibility of Detecting Faults and Irregularities in On-Load Tap Changers (OLTCs) by Vibroacoustic Signal Analysis
by Hassan Ezzaidi, Issouf Fofana, Patrick Picher and Michel Gauvin
Sensors 2024, 24(24), 7960; https://doi.org/10.3390/s24247960 - 13 Dec 2024
Viewed by 374
Abstract
Unlike traditional tap changers, which require transformers to be de-energized before making changes, On-Load Tap Changers (OLTCs) can adjust taps while the transformer is in service, ensuring continuous power supply during voltage regulation. OLTCs enhance grid reliability and support load balancing, reducing strain [...] Read more.
Unlike traditional tap changers, which require transformers to be de-energized before making changes, On-Load Tap Changers (OLTCs) can adjust taps while the transformer is in service, ensuring continuous power supply during voltage regulation. OLTCs enhance grid reliability and support load balancing, reducing strain on the network and optimizing power quality. Their importance has grown as the demand for stable voltage and the integration of renewables has increased, making them vital for modern and resilient power systems. While enhanced OLTCs often incorporate stronger materials and improved designs, mechanical components like contacts and diverter switches can still experience wear over time. This can result in longer maintenance intervals. In the era of digitalization, advanced diagnostic techniques capable of detecting early signs of wear or malfunction are essential to enable preventive maintenance for these important components. This contribution introduces a novel method for detecting faults and irregularities in OLTCs, leveraging vibroacoustic signals to enhance OLTC diagnostics. This paper proposes a tolerance-based approach using the envelope of vibroacoustic signals to identify faults. A significant challenge in this field is the limited availability of faulty signal data, which hinders the performance of machine learning algorithms. To address this, this study introduces a nonlinear model utilizing amplitude modulation with a Gaussian carrier to simulate faults by introducing controlled distortions. The dataset used in this study, with data recorded under real operating conditions from 2016 to 2023, is free of anomalies, providing a robust foundation for the analysis. The results demonstrate a marked improvement in the robustness of detecting simulated faults, offering a promising solution for enhancing OLTC diagnostics and preventive maintenance in modern power systems. Full article
(This article belongs to the Section Fault Diagnosis & Sensors)
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<p>The installation of the accelerometer and temperature and current clamp sensors: (<b>a</b>) an overview of the autotransformer, (<b>b</b>) the installation of the sensor on the transformer tank, and (<b>c</b>) the box where the accelerometer and temperature sensors are installed is highlighted with a red rectangle.</p>
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<p>Internal mechanical design of OLTC.</p>
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<p>Gaussian functions.</p>
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<p>Original and distorted envelopes.</p>
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<p>Indicator measure I_min () using dataset of T3A family.</p>
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<p>Indicator measure I_mean () using dataset of T3A family.</p>
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<p>Indicator measure mobile average using dataset of T3A family.</p>
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18 pages, 3905 KiB  
Article
Fault-Tolerant Control Implemented for Sustainable Active and Reactive Regulation of a Wind Energy Generation System
by Adolfo R. Lopez, Jesse Y. Rumbo-Morales, Gerardo Ortiz-Torres, Jesus E. Valdez-Resendiz, Gerardo Vazquez and Julio C. Rosas-Caro
Sustainability 2024, 16(24), 10875; https://doi.org/10.3390/su162410875 - 12 Dec 2024
Viewed by 411
Abstract
This paper presents the design of a fault-tolerant control system based on fault estimation, aimed at enhancing the sustainability and efficiency of a wind energy conversion system using a doubly-fed induction generator. The control architecture comprises a rotor-side converter (RSC) and a grid-side [...] Read more.
This paper presents the design of a fault-tolerant control system based on fault estimation, aimed at enhancing the sustainability and efficiency of a wind energy conversion system using a doubly-fed induction generator. The control architecture comprises a rotor-side converter (RSC) and a grid-side converter (GSC). The RSC is responsible for regulating both active and reactive power, and its model incorporates two linear subsystem representations. A fault-tolerant control (FTC) scheme is developed using a state-feedback controller; this controller is applied to regulate stator and rotor currents. Additionally, for comparison purposes, Proportional–Integral (PI) and Sliding-Mode Controllers (SMCs) are designed to analyze the performance of each controller. Furthermore, a proportional integral observer is employed in the proposed fault-tolerant scheme for actuator fault estimation. Fault detection is achieved by comparing the fault estimation signal with a predefined threshold. The main contribution of this work is the design and validation of a comprehensive active FTC scheme that enhances system reliability and sustainability. It also includes a performance analysis comparing three controllers (PI, SMC, and state-feedback) applied to the RSC. These controllers are evaluated for their ability to regulate active and reactive power in a wind energy conversion system under conditions of non-constant actuator faults. Full article
(This article belongs to the Special Issue Power Electronics on Recent Sustainable Energy Conversion Systems)
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<p>Stages of a wind energy conversion system.</p>
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<p>WECS based on DFIG and back-to-back converter.</p>
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<p>Vector diagram of the DFIG variables oriented to the stator flux.</p>
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<p>RSC PI control scheme.</p>
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<p>RSC sliding-mode control scheme.</p>
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<p>RSC state-feedback control scheme.</p>
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<p>FTC scheme applied to the RSC system, with (1) the RSC system, (2) the nominal controller, and (3) the active fault-tolerant control system.</p>
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<p>Simulation model of the FTC scheme with the state-feedback controller, developed in Matlab/Simulink 2023B, with (1) the RSC system, (2) the nominal controller, and (3) the active fault-tolerant control system.</p>
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<p>Scenario 1—comparison between PI, SMC and nominal state-feedback controller.</p>
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<p>Scenario 1—input signal comparison between PI, SMC and nominal state-feedback controller.</p>
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<p>Scenario 2—additive fault estimation.</p>
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<p>Scenario 2—comparison between PI, SMC and state-feedback controller with FTC.</p>
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<p>Scenario 2—input signal comparison between PI, SMC and state-feedback with FTC.</p>
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<p>Scenario 2—comparison of absolute tracking error between the SMC and the state-feedback with FTC.</p>
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18 pages, 9899 KiB  
Article
A Novel Synchronization Strategy for Distributed Energy Resources in Weak Grids Using Remote Strong Grid Sensing
by Runfan Zhang, Shyamal S. Chand, Branislav Hredzak and Zhaohong Bie
Energies 2024, 17(23), 6135; https://doi.org/10.3390/en17236135 - 5 Dec 2024
Viewed by 487
Abstract
This paper proposes a novel strategy for the current injection-based control of distributed energy resources connected to weak grids via a voltage source converter. The current injection controller is no longer synchronized with the point of common coupling but with the strong grid [...] Read more.
This paper proposes a novel strategy for the current injection-based control of distributed energy resources connected to weak grids via a voltage source converter. The current injection controller is no longer synchronized with the point of common coupling but with the strong grid point voltage. The strong grid synchronization control strategy improves the output dynamics of the voltage source converter and recovery after faults in weak grids. The phase difference between the voltage source converter and the strong grid voltages caused by the long power lines does not affect the power control. Furthermore, a time delay-compensation method is proposed which tolerates the communication time delay introduced by the transmission of the synchronization signal from the strong grid point. The performance of the proposed control strategy is verified in detail using MATLAB 2023b simulations and real-time digital simulations on a medium voltage model and also validated in an experiment on a low-voltage grid-feeding inverter setup. Full article
(This article belongs to the Section F1: Electrical Power System)
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<p>Schematic of a weak grid where the VSC is interfaced to the network via an LCL filter using PCC grid voltages for synchronization.</p>
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<p>Proposed remote grid-sensing approach where the PLL is synchronized to the strong grid voltage point (<math display="inline"><semantics> <msubsup> <mi>V</mi> <mrow> <mi>a</mi> <mi>b</mi> <mi>c</mi> </mrow> <mrow> <mi>S</mi> <mi>G</mi> </mrow> </msubsup> </semantics></math>).</p>
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<p>Reference frames at the PCC and strong grid point.</p>
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<p>Simulation—(<b>a</b>) direct axis voltage, (<b>b</b>) quadrature axis voltage, (<b>c</b>) active power, (<b>d</b>) reactive power and three-phase current response using (<b>e</b>) PCC and (<b>f</b>) SG point synchronization during low-voltage ride-through.</p>
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<p>Simulation—(<b>a</b>) direct axis voltage, (<b>b</b>) quadrature axis voltage, (<b>c</b>) active power, (<b>d</b>) reactive power and three-phase current response using (<b>e</b>) PCC and (<b>f</b>) SG point synchronization during asymmetric line-to-line fault with time-delay compensation (<math display="inline"><semantics> <mrow> <mi>τ</mi> <mo>=</mo> <mn>0.01</mn> </mrow> </semantics></math> s).</p>
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<p>Simulation—(<b>a</b>) direct axis voltage, (<b>b</b>) quadrature axis voltage, (<b>c</b>) active power, (<b>d</b>) reactive power and three-phase current response using (<b>e</b>) PCC and (<b>f</b>) SG point synchronization during asymmetric single line-to-ground fault assuming an extremely weak grid with time-delay compensation (<math display="inline"><semantics> <mrow> <mi>τ</mi> <mo>=</mo> <mn>0.01</mn> </mrow> </semantics></math> s).</p>
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<p>The RTDS setup used for verification of the proposed method. The VSC model is run at switching level with a time step of 1.4 μs, while the rest of the system is run with a time step of 50 μs.</p>
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<p>Comparison of voltages, real and reactive powers of the VSC when the PCC voltage or the strong grid voltage are used for the PLL synchronization and a three-phase line to ground fault is applied. Assuming no delay, <math display="inline"><semantics> <mrow> <mi>τ</mi> <mo>=</mo> <mn>0</mn> </mrow> </semantics></math>. The line impedance is small, <math display="inline"><semantics> <mrow> <msubsup> <mi>R</mi> <mrow> <mi>L</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> <mi>α</mi> </msubsup> <mo>=</mo> <mn>0.01298</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msubsup> <mi>X</mi> <mrow> <mi>L</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> <mi>α</mi> </msubsup> <mo>=</mo> <mn>0.1298</mn> </mrow> </semantics></math>.</p>
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<p>Comparison of frequencies of the VSC when the PCC voltage or the strong grid voltage are used for the PLL synchronization and a three-phase line to ground fault is applied. Assuming no delay, <math display="inline"><semantics> <mrow> <mi>τ</mi> <mo>=</mo> <mn>0</mn> </mrow> </semantics></math>. The line impedance is small, <math display="inline"><semantics> <mrow> <msubsup> <mi>R</mi> <mrow> <mi>L</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> <mi>α</mi> </msubsup> <mo>=</mo> <mn>0.01298</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msubsup> <mi>X</mi> <mrow> <mi>L</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> <mi>α</mi> </msubsup> <mo>=</mo> <mn>0.1298</mn> </mrow> </semantics></math>.</p>
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<p>Comparison of voltages, real and reactive powers of the VSC when the PCC voltage or the strong grid voltage are used for the PLL synchronization and a three-phase line to ground fault is applied. Assuming no delay, <math display="inline"><semantics> <mrow> <mi>τ</mi> <mo>=</mo> <mn>0</mn> </mrow> </semantics></math>. The line impedance is large, <math display="inline"><semantics> <mrow> <msubsup> <mi>R</mi> <mrow> <mi>L</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> <mi>β</mi> </msubsup> <mo>=</mo> <mn>0.05193</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msubsup> <mi>X</mi> <mrow> <mi>L</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> <mi>β</mi> </msubsup> <mo>=</mo> <mn>0.5193</mn> </mrow> </semantics></math>.</p>
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<p>Comparison of the VSC frequencies when the PCC voltage or the strong grid voltage are used for the PLL synchronization and a three-phase line to ground fault is applied. Assuming no delay, <math display="inline"><semantics> <mrow> <mi>τ</mi> <mo>=</mo> <mn>0</mn> </mrow> </semantics></math>. The line impedance is large, <math display="inline"><semantics> <mrow> <msubsup> <mi>R</mi> <mrow> <mi>L</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> <mi>β</mi> </msubsup> <mo>=</mo> <mn>0.05193</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msubsup> <mi>X</mi> <mrow> <mi>L</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> <mi>β</mi> </msubsup> <mo>=</mo> <mn>0.5193</mn> </mrow> </semantics></math>.</p>
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<p>Voltage, real and reactive powers of the VSC when the strong point grid voltage is used for the PLL synchronization and a three-phase line to ground fault is applied. <math display="inline"><semantics> <mi>φ</mi> </semantics></math> is time-delayed by <math display="inline"><semantics> <mrow> <mi>τ</mi> <mo>=</mo> <mn>0.01</mn> </mrow> </semantics></math> s and compensated as described in <a href="#sec3dot3-energies-17-06135" class="html-sec">Section 3.3</a>. The line impedance is large, <math display="inline"><semantics> <mrow> <msubsup> <mi>R</mi> <mrow> <mi>L</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> <mi>β</mi> </msubsup> <mo>=</mo> <mn>0.05193</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msubsup> <mi>X</mi> <mrow> <mi>L</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> <mi>β</mi> </msubsup> <mo>=</mo> <mn>0.5193</mn> </mrow> </semantics></math>.</p>
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<p>Frequency of the VSC when the strong point grid voltage is used for the PLL synchronization and a three-phase line to ground fault is applied. <math display="inline"><semantics> <mi>φ</mi> </semantics></math> is time-delayed by <math display="inline"><semantics> <mrow> <mi>τ</mi> <mo>=</mo> <mn>0.01</mn> </mrow> </semantics></math> s and compensated as described in <a href="#sec3dot3-energies-17-06135" class="html-sec">Section 3.3</a>. The line impedance is large, <math display="inline"><semantics> <mrow> <msubsup> <mi>R</mi> <mrow> <mi>L</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> <mi>β</mi> </msubsup> <mo>=</mo> <mn>0.05193</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msubsup> <mi>X</mi> <mrow> <mi>L</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> <mi>β</mi> </msubsup> <mo>=</mo> <mn>0.5193</mn> </mrow> </semantics></math>.</p>
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<p>Experimental test rig for grid-interfaced inverter.</p>
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<p>Experimental—(<b>a</b>) direct axis voltage, (<b>b</b>) quadrature axis voltage, (<b>c</b>) active power, (<b>d</b>) reactive power and three-phase current response using (<b>e</b>) PCC and (<b>f</b>) SG point synchronization during low-voltage ride-through.</p>
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<p>Experimental—(<b>a</b>) direct axis voltage, (<b>b</b>) quadrature axis voltage, (<b>c</b>) active power, (<b>d</b>) reactive power and three-phase current response using (<b>e</b>) PCC and (<b>f</b>) SG point synchronization during asymmetrical line-to-ground fault.</p>
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<p>Experimental—(<b>a</b>) direct axis voltage, (<b>b</b>) quadrature axis voltage, (<b>c</b>) active power, (<b>d</b>) reactive power and three-phase current response using (<b>e</b>) PCC and (<b>f</b>) SG point synchronization during voltage unbalance fault with time-delay compensation (<math display="inline"><semantics> <mrow> <mi>τ</mi> <mo>=</mo> <mn>0.01</mn> </mrow> </semantics></math> s).</p>
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30 pages, 5093 KiB  
Article
An Innovative Applied Control System of Helicopter Turboshaft Engines Based on Neuro-Fuzzy Networks
by Serhii Vladov, Oleksii Lytvynov, Victoria Vysotska, Viktor Vasylenko, Petro Pukach and Myroslava Vovk
Appl. Syst. Innov. 2024, 7(6), 118; https://doi.org/10.3390/asi7060118 - 29 Nov 2024
Viewed by 695
Abstract
This study focuses on helicopter turboshaft engine innovative fault-tolerant fuzzy automatic control system development to enhance safety and efficiency in various flight modes. Unlike traditional systems, the proposed automatic control system incorporates a fuzzy regulator with an adaptive control mechanism, allowing for dynamic [...] Read more.
This study focuses on helicopter turboshaft engine innovative fault-tolerant fuzzy automatic control system development to enhance safety and efficiency in various flight modes. Unlike traditional systems, the proposed automatic control system incorporates a fuzzy regulator with an adaptive control mechanism, allowing for dynamic fuel flow and blade pitch angle adjustment based on changing conditions. The scientific novelty lies in the helicopter turboshaft engines distinguishing separate models and the fuel metering unit, significantly improving control accuracy and adaptability to current flight conditions. During experimental research on the TV3-117 engine installed on the Mi-8MTV helicopter, a parametric modeling system was developed to simulate engine operation in real time and interact with higher-level systems. Innovation is evident in the creation of the failure model that accounts for dynamic changes and probabilistic characteristics, enabling the prediction of failures and minimizing their impact on the system. The results demonstrate high effectiveness for the proposed model, achieving an accuracy of 99.455%, while minimizing the loss function, confirming its reliability for practical application in dynamic flight conditions. Full article
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<p>The limiting-mode line.</p>
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<p>The limiting-mode line.</p>
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<p>The proposed helicopter turboshaft engine fuzzy fault-tolerant control system.</p>
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<p>The proposed helicopter turboshaft engine fuzzy fault-tolerant control system.</p>
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<p>The fuzzy controller scheme implemented as a fuzzy neural network.</p>
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<p>The TV3-117 turboshaft engine parameters in a dynamic time series using digitized oscillograms: the black curve is the gas generator rotor r.p.m; the violet curve is the free turbine rotor speed; the light blue curve is the gas temperature in the front of the compressor turbine.</p>
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<p>Cluster analysis results: (<b>a</b>) training dataset; (<b>b</b>) test dataset.</p>
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<p>A scheme showing the interaction between the helicopter turboshaft engine model and the semi-physical simulation stand.</p>
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<p>Failure “profile” diagram related to fuel flow actuator control loss.</p>
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<p>The diagram of the transient process during the fuel flow actuator control loss is the gas-generator rotor r.p.m. channel.</p>
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<p>A diagram of the cost function change during the researched interval from 0 to 320 s.</p>
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<p>Accuracy metric diagram.</p>
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<p>Loss metric diagram.</p>
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<p>The AUC-ROC diagrams: (<b>a</b>) the proposed approach; (<b>b</b>) the Alternative Approach 1; (<b>c</b>) the Alternative Approach 2; (<b>d</b>) the Alternative Approach 3; (<b>e</b>) the Alternative Approach 4.</p>
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<p>The AUC-ROC diagrams: (<b>a</b>) the proposed approach; (<b>b</b>) the Alternative Approach 1; (<b>c</b>) the Alternative Approach 2; (<b>d</b>) the Alternative Approach 3; (<b>e</b>) the Alternative Approach 4.</p>
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18 pages, 8566 KiB  
Article
A Fault-Tolerant Control Strategy for Distributed Drive Electric Vehicles Based on Model Reference Adaptive Control
by Zhigang Zhou, Guanghua Zhang and Meizhong Chen
Actuators 2024, 13(12), 486; https://doi.org/10.3390/act13120486 - 29 Nov 2024
Viewed by 414
Abstract
This study addresses the issue of compromised performance and stability in distributed drive electric vehicles during high-speed operation in the event of motor failure. A fault-tolerant control strategy for distributed drive electric vehicles is proposed, based on model reference adaptive control (MRAC). First, [...] Read more.
This study addresses the issue of compromised performance and stability in distributed drive electric vehicles during high-speed operation in the event of motor failure. A fault-tolerant control strategy for distributed drive electric vehicles is proposed, based on model reference adaptive control (MRAC). First, a seven-degree-of-freedom vehicle dynamics reference model is established, from which the output torque of each wheel during stable operation is determined. Secondly, based on the compensation principle that maintains constant longitudinal speed and total torque before and after the fault, the output torque of the remaining wheels is determined to ensure normal vehicle operation in the event of a single motor failure. To improve torque distribution accuracy, an MRAC controller that takes into account the output hysteresis of the motor is designed. The transfer functions of both the reference model and the actual model are derived. Using Lyapunov’s second method, the adaptation rate of the MRAC system is formulated, ensuring that the state of the actual model converges to that of the reference model, thereby achieving adaptive regulation of system parameters and global stability. Finally, simulation experiments are conducted under high-speed dual-lane conditions. The results indicate that, in the case of a single motor failure with constant vehicle speed, the yaw rate and lateral displacement of the vehicle’s center of mass decrease, thereby validating the effectiveness of the proposed fault-tolerant control strategy. Full article
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<p>The seven-degree-of-freedom vehicle model.</p>
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<p>Longitudinal dynamic model.</p>
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<p>Control strategy block diagram.</p>
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<p>MRAC system.</p>
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<p>Right front wheel torque control algorithm block diagram.</p>
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<p>Left rear wheel torque control algorithm block diagram.</p>
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<p>Right rear wheel torque control algorithm block diagram.</p>
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<p>Right front wheel torque control diagram.</p>
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<p>Left rear wheel torque control diagram.</p>
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<p>Right rear wheel torque control diagram.</p>
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<p>Speed curve under failure conditions.</p>
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<p>Speed curve under MRAC conditions.</p>
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<p>Centroid side slip angle diagram.</p>
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<p>Yaw rate diagram.</p>
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<p>Comparison of lateral displacement of the center of mass under SMC, PID, and MRAC methods.</p>
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<p>Comparison of yaw rate under SMC, PID, and MRAC methods.</p>
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<p>Vehicle speed under SMC during motor failure.</p>
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14 pages, 1494 KiB  
Article
Networking Microcontrollers and Balancing the Load on the Service Servers to Enhance the Fault Tolerance of the IoT Networks
by Sastry Kodanda Rama Jammalamadaka, Bhupati Chokra, Sasi Bhanu Jammalamadaka and Balakrishna Kamesh Duvvuri
Mathematics 2024, 12(23), 3730; https://doi.org/10.3390/math12233730 - 27 Nov 2024
Viewed by 380
Abstract
Different types of faults occur in different layers of IoT networks, which affect their fault tolerance. The Controller and Services layers are the weakest links in an IoT network, and any failure in these layers drastically reduces its fault tolerance. The flow of [...] Read more.
Different types of faults occur in different layers of IoT networks, which affect their fault tolerance. The Controller and Services layers are the weakest links in an IoT network, and any failure in these layers drastically reduces its fault tolerance. The flow of transactions in these layers is also very heavy, requiring load balancing. The major challenge is to retain the maximum Fault tolerance of the IoT network in the presence of failures and varying load conditions in these Layers. This paper proposes a combination of Embedded system networking and a specialised networking of microcontrollers with Service Servers, and a Middleware within the Microcontrollers for load-balancing transactions in different communication paths. These implementations help retain the highest fault tolerance of the IoT network. The fault tolerance of an IoT is improved by 8% due to these proposed implementations. Full article
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<p>Prototype IoT network.</p>
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<p>Revised/updated IoT Network.</p>
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<p>Middleware Architecture for Load Balancing through Microcontroller with a single base station.</p>
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<p>Fault Tolerance Diagram of the Revised IoT Network.</p>
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19 pages, 2693 KiB  
Article
Adaptive Switching Redundant-Mode Multi-Core System for Photovoltaic Power Generation
by Liang Liu, Xige Zhang, Jiahui Zhou, Kai Niu, Zixuan Guo, Yawen Zhao and Meng Zhang
Sensors 2024, 24(23), 7561; https://doi.org/10.3390/s24237561 - 27 Nov 2024
Viewed by 435
Abstract
As maximum power point tracking (MPPT) algorithms have developed towards multi-task intelligent computing, processors in photovoltaic power generation control systems must be capable of achieving a higher performance. However, the challenges posed by the complex environment of photovoltaic fields with regard to processor [...] Read more.
As maximum power point tracking (MPPT) algorithms have developed towards multi-task intelligent computing, processors in photovoltaic power generation control systems must be capable of achieving a higher performance. However, the challenges posed by the complex environment of photovoltaic fields with regard to processor reliability cannot be overlooked. To address these issues, we proposed a novel approach. Our approach uses error rate and performance as switching metrics and performs joint statistics to achieve efficient adaptive switching. Based on this, our work designed a redundancy-mode switchable three-core processor system to balance performance and reliability. Additionally, by analyzing the relationship between performance and reliability, we proposed optimization methods to improve reliability while ensuring a high performance was maintained. Finally, we designed an error injection method and verified the system’s reliability by analyzing the error rate probability model in different scenarios. The results of the analysis show that compared with the traditional MPPT controller, the redundancy mode switchable multi-core processor system proposed in this paper exhibits a reliability approximately 5.58 times that of a non-fault-tolerant system. Furthermore, leveraging the feature of module switching, the system’s performance has been enhanced by 26% compared to a highly reliable triple modular redundancy systems, significantly improving the system’s reliability while ensuring a good performance is maintained. Full article
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<p>The relationship between performance and reliability.</p>
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<p>Reliability simulation of real scenarios. Impact of switching metrics on mode transitions in PV controllers.</p>
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<p>Adaptive mode switching based on performance requirements and fault rate levels.</p>
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<p>Adaptive fault-tolerance registers.</p>
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<p>Cache mode-switching state update between different modes.</p>
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<p>RMSM Processor system structure.</p>
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<p>Software–hardware coordinated checkpoint backup.</p>
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<p>Pipeline rollback process.</p>
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<p>Fault-isolation method based on read–write cache flag for pipeline checkpointing.</p>
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<p>Evaluation framework.</p>
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<p>MPPT validation platform.</p>
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<p>MPPT algorithm execution result. (<b>A</b>) Power tracking curve under high-performance mode. (<b>B</b>) Execution times of different modes.</p>
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<p>Mode efficiency comparison: adaptive mode versus single-mode systems.</p>
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<p>Comparison of the adaptive switching mode and other modes under different benchmarks used to simulate the intelligent MPPT algorithms.</p>
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19 pages, 887 KiB  
Article
Fault-Tolerant Closed-Loop Controller Using Online Fault Detection by Neural Networks
by Alma Y. Alanis, Jesus G. Alvarez, Oscar D. Sanchez, Hannia M. Hernandez and Arturo Valdivia-G
Machines 2024, 12(12), 844; https://doi.org/10.3390/machines12120844 - 25 Nov 2024
Viewed by 562
Abstract
This paper presents an online model-free sensor fault-tolerant control scheme capable of tolerating the most common faults affecting an induction motor. This approach involves using neural networks for fault detection to provide the controller with sufficient information to counteract adverse consequences due to [...] Read more.
This paper presents an online model-free sensor fault-tolerant control scheme capable of tolerating the most common faults affecting an induction motor. This approach involves using neural networks for fault detection to provide the controller with sufficient information to counteract adverse consequences due to sensor faults, such as degradation in performance, reliability, and even failures in the control system. The proposed approach does not consider the knowledge of the nominal model of the system or when the fault may occur. Therefore, a high-order recurrent neural network trained online by the Extended Kalman Filter is used to obtain a mathematical model of the system. The obtained model is used to synthesize a discrete-time sliding mode control. Then, the fault-detection and -isolation stage is performed by independent neural networks, which have as input the signal from the current sensor and the position sensor, respectively. In this way, the neural classifiers continuously monitor the sensors, showing the ability to know the sensor status. The combination of controller and fault detection maintains the operation of the motor during the time of the fault occurrence, whether due to sensor disconnection, degradation, or connection failure. In fact, the MLP neural network achieves an accuracy between 95% and 99% and shows an AUC of 97% to 99%, and this neural network correctly classifies true positives with acceptable performance. The Recall value is high, between 97% and 99%, and the F1 score confirms a good performance. In contrast, the CNN shows a higher accuracy, between 96% and 99% in accuracy and 98% to 99% in AUC. In addition, its Recall and F1 reflect a better balance and capacity to handle complex data, demonstrating its superiority to MLP in fault classification. Therefore, neural networks are a promising approach in areas such as fault-tolerant control. Full article
(This article belongs to the Special Issue Computational Intelligence for Fault Detection and Classification)
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<p>Rotary induction motor test bench setup.</p>
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<p>Neural identification of unknown system under sensors failure.</p>
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<p>The scheme of the control and identification system based on machine learning techniques that integrates a High-Order Recurrent Neural Network (RHONN), an Extended Kalman Filter (EKF), and a neural classifier is shown. This scheme improves the performance in the presence of sensor failures.</p>
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<p>Deep neural network architecture for online fault classification.</p>
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<p>The sliding-window extraction from the time series <span class="html-italic">X</span>.</p>
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<p>Data set from induction motor sensors.</p>
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<p>Simulink diagram of induction motor.</p>
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<p>Tracking results of the neural sliding-mode sensor’s fault-tolerant controller with the CNN-based neural classifier.</p>
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18 pages, 520 KiB  
Article
Adaptive Fault-Tolerant Tracking Control for Continuous-Time Interval Type-2 Fuzzy Systems
by Ming-Yang Qiao and Xiao-Heng Chang
Mathematics 2024, 12(23), 3682; https://doi.org/10.3390/math12233682 - 24 Nov 2024
Viewed by 468
Abstract
This paper investigated the tracking problem of mixed H and L2L adaptive fault-tolerant control (FTC) for continuous-time interval type-2 fuzzy systems (IT2FSs). For the membership function mismatch and uncertainty between the modules of the nonlinear system, the IT2 [...] Read more.
This paper investigated the tracking problem of mixed H and L2L adaptive fault-tolerant control (FTC) for continuous-time interval type-2 fuzzy systems (IT2FSs). For the membership function mismatch and uncertainty between the modules of the nonlinear system, the IT2 fuzzy model is applied to linearly approximate it. The observer can sensitively estimate the system state, and the adaptive fault estimation functions can estimate adaptively the fault signals, which enables the designed adaptive FTC scheme to ensure the asymptotic stability of the closed-loop control system and achieve the desired mixed H and L2L tracking performance. The designed adaptive control law can achieve the purpose of dynamic compensation for faults and disturbances, and the introduced lemmas further reduce the design conservatism by adjusting the slack parameters and matrices. Finally, a mass-spring-damping system is used to illustrate the effectiveness of the designed method. Full article
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<p>Framework of closed-loop adaptive FTC system.</p>
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<p>System states <math display="inline"><semantics> <mrow> <mi>x</mi> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </semantics></math> and observer states <math display="inline"><semantics> <mrow> <mover accent="true"> <mi>x</mi> <mo stretchy="false">^</mo> </mover> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </semantics></math>.</p>
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<p>System output with faults <math display="inline"><semantics> <mrow> <msub> <mi>y</mi> <mi>f</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </semantics></math> and reference output <math display="inline"><semantics> <mrow> <msub> <mi>y</mi> <mi>r</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </semantics></math>.</p>
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<p>System tracking error <math display="inline"><semantics> <mrow> <msub> <mi>e</mi> <mi>y</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </semantics></math>.</p>
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<p>Adaptive control signal <math display="inline"><semantics> <mrow> <mi>u</mi> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </semantics></math>.</p>
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<p>The trajectory of <math display="inline"><semantics> <mrow> <msub> <mi>L</mi> <mn>2</mn> </msub> <mo>−</mo> <msub> <mi>L</mi> <mo>∞</mo> </msub> </mrow> </semantics></math> performance.</p>
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<p>The trajectory of <math display="inline"><semantics> <msub> <mi mathvariant="script">H</mi> <mo>∞</mo> </msub> </semantics></math> performance.</p>
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<p>System output with faults <math display="inline"><semantics> <mrow> <msub> <mi>y</mi> <mi>f</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </semantics></math> and reference output <math display="inline"><semantics> <mrow> <msub> <mi>y</mi> <mi>r</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </semantics></math>.</p>
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26 pages, 16654 KiB  
Article
Adaptive Fast Smooth Second-Order Sliding Mode Fault-Tolerant Control for Hypersonic Vehicles
by Lijia Cao, Lei Liu, Pengfei Ji and Chuandong Guo
Aerospace 2024, 11(11), 951; https://doi.org/10.3390/aerospace11110951 - 18 Nov 2024
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Abstract
In response to control issues in hypersonic vehicles under external disturbances, model uncertainties, and actuator failures, this paper proposes an adaptive fast smooth second-order sliding mode fault-tolerant control scheme. First, a system separation approach is adopted, dividing the hypersonic vehicle model into fast [...] Read more.
In response to control issues in hypersonic vehicles under external disturbances, model uncertainties, and actuator failures, this paper proposes an adaptive fast smooth second-order sliding mode fault-tolerant control scheme. First, a system separation approach is adopted, dividing the hypersonic vehicle model into fast and slow loops for independent design. This ensures that the airflow angle tracking error and sliding mode variables converge to the vicinity of the origin within a finite time. A fixed-time disturbance observer is then designed to estimate and compensate for the effects of model uncertainties, external disturbances, and actuator failures. The controller parameters are dynamically adjusted through an adaptive term to enhance robustness. Furthermore, first-order differentiation is used to estimate differential terms, effectively avoiding the issue of complexity explosion. Finally, the convergence of the controller within a finite time is rigorously proven using the Lyapunov method, and the perturbation of aerodynamic parameters is tested using the Monte Carlo method. Simulation results under various scenarios show that compared with the terminal sliding mode method, the proposed method outperforms control accuracy and convergence speed. The root mean square errors for the angle of attack, sideslip angle, and roll angle are reduced by 65.11%, 86.71%, and 45.51%, respectively, while the standard deviation is reduced by 81.78%, 86.80%, and 45.51%, demonstrating that the proposed controller has faster convergence, higher control accuracy, and smoother output than the terminal sliding mode controller. Full article
(This article belongs to the Section Aeronautics)
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<p>Geometric parameters of the HSV model.</p>
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<p>The structure diagram of the control system.</p>
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<p>Angle of bank.</p>
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<p>Angle of attack.</p>
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<p>Sideslip angle and error.</p>
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<p>Error of bank angle.</p>
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<p>Error of attack.</p>
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<p>Variation of <math display="inline"><semantics> <mrow> <msub> <mi>u</mi> <mi>a</mi> </msub> </mrow> </semantics></math>.</p>
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<p>Variation of <math display="inline"><semantics> <mrow> <msub> <mi>u</mi> <mi>e</mi> </msub> </mrow> </semantics></math>.</p>
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<p>Variation of <math display="inline"><semantics> <mrow> <msub> <mi>u</mi> <mi>r</mi> </msub> </mrow> </semantics></math>.</p>
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<p>Angle of bank.</p>
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<p>Angle of attack.</p>
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<p>Sideslip angle and error.</p>
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<p>Error of bank angle.</p>
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<p>Error of attack.</p>
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<p>Variation of <math display="inline"><semantics> <mrow> <msub> <mi>u</mi> <mi>a</mi> </msub> </mrow> </semantics></math>.</p>
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<p>Variation of <math display="inline"><semantics> <mrow> <msub> <mi>u</mi> <mi>e</mi> </msub> </mrow> </semantics></math>.</p>
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<p>Variation of <math display="inline"><semantics> <mrow> <msub> <mi>u</mi> <mi>r</mi> </msub> </mrow> </semantics></math>.</p>
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<p>Aerodynamic uncertainty scatter plot.</p>
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<p>Bank angle of TSMFTC.</p>
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<p>Attack angle of TSMFTC.</p>
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<p>Sideslip angle of TSMFTC.</p>
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<p>Bank angle of AFSSOSMFTC.</p>
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<p>Attack angle of AFSSOSMFTC.</p>
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<p>Sideslip angle of AFSSOSMFTC.</p>
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<p>Angle of bank.</p>
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<p>Angle of attack.</p>
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<p>Sideslip angle and error.</p>
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<p>Error of bank angle.</p>
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<p>Error of attack.</p>
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<p>Variation of <math display="inline"><semantics> <mrow> <msub> <mi>u</mi> <mi>a</mi> </msub> </mrow> </semantics></math>.</p>
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<p>Variation of <math display="inline"><semantics> <mrow> <msub> <mi>u</mi> <mi>e</mi> </msub> </mrow> </semantics></math>.</p>
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<p>Variation of <math display="inline"><semantics> <mrow> <msub> <mi>u</mi> <mi>r</mi> </msub> </mrow> </semantics></math>.</p>
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