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Keywords = adaptive fault-tolerant federated filter

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28 pages, 11251 KiB  
Article
In-Motion Initial Alignment Method Based on Multi-Source Information Fusion for Special Vehicles
by Zhenjun Chang, Zhili Zhang, Zhaofa Zhou, Xinyu Li, Shiwen Hao and Huadong Sun
Entropy 2025, 27(3), 237; https://doi.org/10.3390/e27030237 - 25 Feb 2025
Viewed by 214
Abstract
To address the urgent demand for autonomous rapid initial alignment of vehicular inertial navigation systems in complex battlefield environments, this study overcomes the technical limitations of traditional stationary base alignment methods by proposing a robust moving-base autonomous alignment approach based on multi-source information [...] Read more.
To address the urgent demand for autonomous rapid initial alignment of vehicular inertial navigation systems in complex battlefield environments, this study overcomes the technical limitations of traditional stationary base alignment methods by proposing a robust moving-base autonomous alignment approach based on multi-source information fusion. First, a federal Kalman filter-based multi-sensor fusion architecture is established to effectively integrate odometer, laser Doppler velocimeter, and SINS data, resolving the challenge of autonomous navigation parameter calculation under GNSS-denied conditions. Second, a dual-mode fault diagnosis and isolation mechanism is developed to enable rapid identification of sensor failures and system reconfiguration. Finally, an environmentally adaptive dynamic alignment strategy is proposed, which intelligently selects optimal alignment modes by real-time evaluation of motion characteristics and environmental disturbances, significantly enhancing system adaptability in complex operational scenarios. The experimental results show that the method proposed in this paper can effectively improve the accuracy of vehicle-mounted alignment in motion, achieve accurate identification, effective isolation, and reconstruction of random incidental faults, and improve the adaptability and robustness of the system. This research provides an innovative solution for the rapid deployment of special-purpose vehicles in GNSS-denied environments, while its fault-tolerant mechanisms and adaptive strategies offer critical insights for engineering applications of next-generation intelligent navigation systems. Full article
(This article belongs to the Section Multidisciplinary Applications)
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<p>Structure of the federal Kalman filter design for multi-source information fusion.</p>
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<p>Fault-tolerant design of inertial system alignment in motion.</p>
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<p>Schematic diagram of alignment in motion based on information multiplexing.</p>
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<p>Flowchart of adaptive alignment strategy.</p>
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<p>Experimental platform of vehicle-mounted SINS.</p>
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<p>Experimental roadmap of test vehicle.</p>
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<p>Variation of attitude and velocity.</p>
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<p>Experimental result of alignment in motion based on information multiplexing.</p>
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<p>Alignment in motion based on OD/LDV federal Kalman filter.</p>
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<p>Test results of alignment fault-tolerant design with fault under inertial system.</p>
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<p>Fault detection results of OD and LDV auxiliary based on federal filter.</p>
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<p>Result of optimal estimation alignment with faults of OD and LDV auxiliary.</p>
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<p>Result of optimal estimation alignment with faults of FDI based on federal filtering.</p>
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27 pages, 8840 KiB  
Article
Adaptive Federated Kalman Filtering with Dimensional Isolation for Unmanned Aerial Vehicle Navigation in Degraded Industrial Environments
by Quanxi Zhan, Runjie Shen, Yedong Mao, Yihang Shu, Lu Shen, Linchuan Yang, Junrui Zhang, Chenyang Sun, Fenghe Guo and Yan Lu
Drones 2025, 9(3), 168; https://doi.org/10.3390/drones9030168 - 24 Feb 2025
Viewed by 287
Abstract
Unmanned aerial vehicle (UAV) navigation systems face significant challenges in complex environments, such as sensor degradation and signal loss. This study proposes the NSDDI-AFF (Normalized Single-Dimensional Degradation Isolation with Adaptive Federated Filtering) method to address these issues. By integrating adaptive thresholding, degradation isolation, [...] Read more.
Unmanned aerial vehicle (UAV) navigation systems face significant challenges in complex environments, such as sensor degradation and signal loss. This study proposes the NSDDI-AFF (Normalized Single-Dimensional Degradation Isolation with Adaptive Federated Filtering) method to address these issues. By integrating adaptive thresholding, degradation isolation, and multi-sensor fusion, the method dynamically identifies degraded channels and ensures robust state estimation. Evaluated in a semi-enclosed coal yard and in a hydropower pipeline, NSDDI-AFF reduced positional errors by 97.5% and 95.7% compared to LIO-SAM and Fast-LIO2, achieving a position RMSE of 0.05 m and orientation RMSE of 0.5°. The method detected degradation early (120 s) and maintained mapping accuracy with geometric errors below 0.5%. These results demonstrate that NSDDI-AFF significantly enhances UAV positioning accuracy, fault tolerance, and mapping reliability, making it a robust solution for challenging industrial applications. Full article
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<p>Field images for inspection in a hydroelectric power plant’s pressure pipelines and corridors: (<b>a</b>) drone inspecting the pressure pipeline; (<b>b</b>) drone inspecting the corridor in the hydroelectric plant; (<b>c</b>) LiDAR point cloud of cylindrical shape obtained during inspection of the pipeline’s straight and sloped sections; (<b>d</b>) image captured by the camera during the inspection of the sloped pipeline section; (<b>e</b>) image captured by the camera during the corridor inspection.</p>
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<p>System overview of NSDDI-AFF.</p>
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<p>Block diagram for the fusion of local state information across multiple navigation subsystems.</p>
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<p>Flowchart of the dimensionally isolated adaptive federated filtering method.</p>
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<p>Comparison of degradation detection performance between the proposed method and the methods in [<a href="#B44-drones-09-00168" class="html-bibr">44</a>,<a href="#B45-drones-09-00168" class="html-bibr">45</a>]. (<b>a</b>) Degradation eigenvalues detected by the method in [<a href="#B44-drones-09-00168" class="html-bibr">44</a>]; (<b>b</b>) Degradation eigenvalues detected by the method in [<a href="#B45-drones-09-00168" class="html-bibr">45</a>]; (<b>c</b>) Degradation eigenvalues detected by the proposed method.</p>
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<p>Comparison of point-cloud mapping results in a semi-enclosed coal yard. (<b>a</b>) NSDDI-AFF mapping results in a semi-enclosed coal yard; (<b>b</b>) Fast-LIO2 mapping results in a semi-enclosed coal yard.</p>
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<p>Comparison of proposed method, FastLIO2, and AFKF in X, Y, and Z positions, as well as 3D trajectory. Ground truth is represented by the magenta dashed line.</p>
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<p>Comparison of proposed method, FastLIO2, and AFKF in X, Y, and Z positions, as well as 3D trajectory. Ground truth is represented by the magenta dashed line.</p>
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<p>Drone-based inspection of the penstock at a hydroelectric power station (<b>a</b>). External view of the penstock at a hydropower plant (<b>b</b>). Schematic diagram of the penstock model at a hydroelectric power plant (<b>c</b>). Automated drone inspection of pressure pipes from an internal perspective.</p>
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<p>Comparison of degradation detection performance between the proposed method and advanced methods [<a href="#B44-drones-09-00168" class="html-bibr">44</a>,<a href="#B45-drones-09-00168" class="html-bibr">45</a>]: (<b>a</b>) the degradation eigenvalues detected by the [<a href="#B44-drones-09-00168" class="html-bibr">44</a>] method; (<b>b</b>) the degradation eigenvalues detected by the [<a href="#B45-drones-09-00168" class="html-bibr">45</a>] method; (<b>c</b>) the degradation eigenvalues detected by the proposed method.</p>
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<p>Comparison of mapping results for NSDDIAFF, FastLIO2, and LIOSAM methods in a penstock.</p>
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<p>Comparison of 3D trajectories from different methods in the UAV penstock inspection task.</p>
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<p>Comparative evaluation of trajectory and orientation estimates for different algorithms in a UAV penstock inspection task. (<b>a</b>) Comparison of X-axis trajectories of different methods; (<b>b</b>) comparison of Y-axis trajectories of different methods; (<b>c</b>) comparison of Z-axis trajectories of different methods; (<b>d</b>) roll angle comparison of different methods; (<b>e</b>) pitch angle comparison of different methods; (<b>f</b>) yaw angle comparison of different methods.</p>
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<p>Comparative evaluation of trajectory and orientation estimates for different algorithms in a UAV penstock inspection task. (<b>a</b>) Comparison of X-axis trajectories of different methods; (<b>b</b>) comparison of Y-axis trajectories of different methods; (<b>c</b>) comparison of Z-axis trajectories of different methods; (<b>d</b>) roll angle comparison of different methods; (<b>e</b>) pitch angle comparison of different methods; (<b>f</b>) yaw angle comparison of different methods.</p>
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14 pages, 6423 KiB  
Article
Cooperative Positioning Method of a Multi-UAV Based on an Adaptive Fault-Tolerant Federated Filter
by Pengfei Zhang, Zhenhua Ma, Yin He, Yawen Li and Wenzheng Cheng
Sensors 2023, 23(21), 8823; https://doi.org/10.3390/s23218823 - 30 Oct 2023
Viewed by 1228
Abstract
Aiming at the problem of the low cooperative positioning accuracy and robustness of multi-UAV formation, a cooperative positioning method of a multi-UAV based on an adaptive fault-tolerant federated filter is proposed. Combined with the position of the follower UAV and leader UAV, and [...] Read more.
Aiming at the problem of the low cooperative positioning accuracy and robustness of multi-UAV formation, a cooperative positioning method of a multi-UAV based on an adaptive fault-tolerant federated filter is proposed. Combined with the position of the follower UAV and leader UAV, and the relative range between them, a cooperative positioning model of the follower UAV is established. On this basis, an adaptive fault-tolerant federated filter is designed. Fault detection and isolation technology are added to improve the positioning accuracy of the follower UAV and the fault tolerance performance of the filter. Meanwhile, the measurement noise matrix is adjusted by the adaptive information allocation coefficient to reduce the impact of undetected fault information on the sub-filter and global estimation accuracy. The simulation results show that the adaptive fault-tolerant federated algorithm can greatly improve the positioning accuracy, which is 83.4% higher than that of the absolute positioning accuracy of a single UAV. In the case of a gradual fault, the method has a stronger fault-tolerant performance and reconstruction performance. Full article
(This article belongs to the Section Remote Sensors)
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<p>The general structure of the federated filter.</p>
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<p>Multi-UAV cooperative positioning scheme.</p>
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<p>Structure of the adaptive fault-tolerant federated filter.</p>
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<p>Comparison of the eastward positioning error of follower UAV 1.</p>
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<p>Comparison of the northward positioning error of follower UAV 1.</p>
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<p>Comparison of the vertical positioning error of follower UAV 1.</p>
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<p>Comparison of the eastward positioning error of follower UAV 2.</p>
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<p>Comparison of the northward positioning error of follower UAV 2.</p>
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<p>Comparison of the vertical positioning error of follower UAV 2.</p>
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<p>Comparison of the eastward positioning error of follower UAV 1.</p>
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<p>Comparison of the northward positioning error of follower UAV 1.</p>
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<p>Comparison of the vertical positioning error of follower UAV 1.</p>
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16 pages, 3726 KiB  
Article
Improved Adaptive Federated Kalman Filtering for INS/GNSS/VNS Integrated Navigation Algorithm
by Xuejia Wu, Zhong Su, Lei Li and Zekun Bai
Appl. Sci. 2023, 13(9), 5790; https://doi.org/10.3390/app13095790 - 8 May 2023
Cited by 7 | Viewed by 2260
Abstract
To address the issue of low positioning accuracy in unmanned vehicles navigating in obstructed spaces due to easily contaminated navigation measurement information, an improved adaptive federated Kalman filtering INS/GNSS/VNS integrated navigation algorithm is proposed. In this algorithm, an inertial navigation system (INS) serves [...] Read more.
To address the issue of low positioning accuracy in unmanned vehicles navigating in obstructed spaces due to easily contaminated navigation measurement information, an improved adaptive federated Kalman filtering INS/GNSS/VNS integrated navigation algorithm is proposed. In this algorithm, an inertial navigation system (INS) serves as the common reference system, and, together with the global navigation satellite system (GNSS) and visual navigation system (VNS), they form the subsystems that together make up the main system. In the event of faulty measurement values in the subsystems, a combination of the residual chi-square and sliding-window averaging methods are used for fault detection to improve the fault tolerance of the integrated navigation algorithm. Additionally, an adaptive sharing factor is proposed to adjust the accuracy of the integrated navigation algorithm based on the accuracy of the sub-filters. Simulation experiments demonstrated that, compared with classic federated Kalman filtering, the proposed algorithm reduced the root mean square errors (RMSEs) of the three-dimensional position by 56.4%, 54.8%, and 43.4% and the root mean square errors of the three-dimensional velocity by 71.0%, 72.1%, and 28.4% in the event of sub-filter faults, effectively solving the problem of low positioning accuracy for unmanned vehicles in obstructed spaces while ensuring the real-time performance of the system. Full article
(This article belongs to the Special Issue Design and Control of Inertial Navigation System)
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<p>The structure of the INS/GNSS/VNS integrated navigation system.</p>
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<p>Simulation trajectory.</p>
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<p>Comparison of navigation errors between improved AFKF and classic FKF: (<b>a</b>) Comparison of position errors. (<b>b</b>) Comparison of velocity errors.</p>
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<p>Comparison of navigation errors between improved AFKF and FKF: (<b>a</b>) Comparison of position errors. (<b>b</b>) Comparison of velocity errors.</p>
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<p>RMSE of classic FKF and improved AFKF: (<b>a</b>) RMSE of position. (<b>b</b>) RMSE of velocity.</p>
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<p>Comparison chart of the running time for 50 simulation experiments.</p>
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<p>Simulation experiments on the Gazebo platform: (<b>a</b>) Unmanned vehicle model TurtleBot3-Waffle-Pi. (<b>b</b>) Environment for unmanned vehicle travel.</p>
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<p>Reference trajectory.</p>
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<p>Comparison of navigation errors between improved AFKF and FKF: (<b>a</b>) Comparison of position errors. (<b>b</b>) Comparison of velocity errors.</p>
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13 pages, 8956 KiB  
Article
A Day/Night Leader-Following Method Based on Adaptive Federated Filter for Quadruped Robots
by Jialin Zhang, Jiamin Guo, Hui Chai, Qin Zhang, Yibin Li, Zhiying Wang and Qifan Zhang
Biomimetics 2023, 8(1), 20; https://doi.org/10.3390/biomimetics8010020 - 4 Jan 2023
Cited by 2 | Viewed by 2563
Abstract
The quadruped robots have superior adaptability to complex terrains, compared with tracked and wheeled robots. Therefore, leader-following can help quadruped robots accomplish long-distance transportation tasks. However, long-term following has to face the change of day and night as well as the presence of [...] Read more.
The quadruped robots have superior adaptability to complex terrains, compared with tracked and wheeled robots. Therefore, leader-following can help quadruped robots accomplish long-distance transportation tasks. However, long-term following has to face the change of day and night as well as the presence of interference. To solve this problem, we present a day/night leader-following method for quadruped robots toward robustness and fault-tolerant person following in complex environments. In this approach, we construct an Adaptive Federated Filter algorithm framework, which fuses the visual leader-following method and the LiDAR detection algorithm based on reflective intensity. Moreover, the framework uses the Kalman filter and adaptively adjusts the information sharing factor according to the light condition. In particular, the framework uses fault detection and multisensors information to stably achieve day/night leader-following. The approach is experimentally verified on the quadruped robot SDU-150 (Shandong University, Shandong, China). Extensive experiments reveal that robots can identify leaders stably and effectively indoors and outdoors with illumination variations and unknown interference day and night. Full article
(This article belongs to the Special Issue Bio-Inspired Design and Control of Legged Robot)
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<p>Adaptive federated filter framework, including information update, information fusion, information sharing factors, feedback resetting, fault detection and isolation.</p>
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<p>Quadruped robot SDU-150 (Shandong University, Jinan, China) is composed of perception and motion control platforms. The quadruped robot perception platform reveals the positional relationship between the depth camera and the LiDAR. The leader wears reflective clothing and maintains a distance of 1m to 6m from robot. The day/night leader-following algorithm framework includes visual leader-following, LiDAR-based leader-following, and Adaptive Federated Filter.</p>
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<p>The day/night leader-following system, including application, algorithm, software, operating system, and hardware.</p>
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<p>The distribution of value under different lighting conditions, including (<b>a</b>) dark, (<b>b</b>) dim, (<b>c</b>) light in the dark, (<b>d</b>) dusk, and (<b>e</b>) bright.</p>
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<p>The result of leader-following under different environments, including (<b>a</b>) good lighting, (<b>b</b>) strong sunlight, (<b>c</b>) weak light, (<b>d</b>) darkness, (<b>e</b>) strong flashlight in the dark, (<b>f</b>) parking lot during day, (<b>g</b>) parking lot at night.</p>
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17 pages, 2313 KiB  
Article
An Improved Innovation Robust Outliers Detection Method for Airborne Array Position and Orientation Measurement System
by Bao Junfang, Li Jianli, Wei Mengdi and Qu Chunyu
Remote Sens. 2023, 15(1), 26; https://doi.org/10.3390/rs15010026 - 21 Dec 2022
Cited by 3 | Viewed by 1762
Abstract
The airborne array position and orientation measurement system (array POS) is a key device for high-resolution multi-dimensional real-time imaging motion compensation of military reconnaissance mapping. Abnormal values will appear in array POS inertial devices and measurement data in an environment of strong interference, [...] Read more.
The airborne array position and orientation measurement system (array POS) is a key device for high-resolution multi-dimensional real-time imaging motion compensation of military reconnaissance mapping. Abnormal values will appear in array POS inertial devices and measurement data in an environment of strong interference, which often leads to a decrease or even divergence in the combination accuracy. The existing detection methods based on innovation characteristics are only sensitive to measurement outliers, which are the abnormal data caused by the strong interference environment. In this paper, an improved innovation robust outliers detection method is proposed, which is valid for both measurement outliers and inertial device outliers. First, the improved outliers detection method based on the innovation of array POS is described. The gain matrix is adaptively adjusted by using the statistical characteristics of innovation. At the same time, the information distribution coefficient is adaptively adjusted by using the filtering performance of the sub filter, which realizes the detection and correction of measurement outliers. Then, the outlier detection method of inertial devices based on extrapolation prediction is added. The predicted value of the inertial device is extrapolated by the fourth-order difference method, and the outliers are recognized and eliminated by the adaptive threshold, which contributes to improving the robustness and accuracy of array POS. STD is selected in this paper to statistic the accuracy of array POS. Compared with the traditional federated Kalman filtering (KFK) methods, the accuracies of position, speed, heading angle and horizontal attitude angle of the left node and right node are all improved when there are outliers in the measurement data. Compared with the fault-tolerant federated combination method based on innovation characteristics, the accuracies of position, speed, heading angle and horizontal attitude angle of the left node and right node are all improved when there are abnormal values in the inertial device data. Full article
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<p>The diagram of the array POS system.</p>
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<p>The overall flow of the improved innovation robust outliers detection method.</p>
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<p>The flight experimental setup.</p>
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<p>The whole flight experiment process.</p>
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<p>The installation diagram of array POS.</p>
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<p>Data from GNSS after adding outliers. (<b>a</b>) Data from GNSS in left node after adding outliers; (<b>b</b>) Data from GNSS in right node after adding outliers.</p>
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<p>Comparison of filtering results. (<b>a</b>) Position comparison of filtering results; (<b>b</b>) velocity comparison of filtering results; (<b>c</b>) attitude comparison of filtering results.</p>
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<p>Comparison of filtering results. (<b>a</b>) Position comparison of filtering results; (<b>b</b>) velocity comparison of filtering results; (<b>c</b>) attitude comparison of filtering results.</p>
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<p>Data from the IMU after adding outliers. (<b>a</b>) Data from the gyro in the x-axis direction after adding outliers; (<b>b</b>) data from the accelerometer in the x-axis direction after adding outliers.</p>
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<p>Comparison of filtering results. (<b>a</b>) Position comparison of filtering results; (<b>b</b>) velocity comparison of filtering results; (<b>c</b>) attitude comparison of filtering results.</p>
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<p>Comparison of filtering results. (<b>a</b>) Position comparison of filtering results; (<b>b</b>) velocity comparison of filtering results; (<b>c</b>) attitude comparison of filtering results.</p>
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20 pages, 8670 KiB  
Article
Robust Path Tracking Control for Autonomous Vehicle Based on a Novel Fault Tolerant Adaptive Model Predictive Control Algorithm
by Keke Geng and Shuaipeng Liu
Appl. Sci. 2020, 10(18), 6249; https://doi.org/10.3390/app10186249 - 9 Sep 2020
Cited by 17 | Viewed by 3421
Abstract
Autonomous vehicles are expected to completely change the development model of the transportation industry and bring great convenience to our lives. Autonomous vehicles need to constantly obtain the motion status information with on-board sensors in order to formulate reasonable motion control strategies. Therefore, [...] Read more.
Autonomous vehicles are expected to completely change the development model of the transportation industry and bring great convenience to our lives. Autonomous vehicles need to constantly obtain the motion status information with on-board sensors in order to formulate reasonable motion control strategies. Therefore, abnormal sensor readings or vehicle sensor failures can cause devastating consequences and can lead to fatal vehicle accidents. Hence, research on the fault tolerant control method is critical for autonomous vehicles. In this paper, we develop a robust fault tolerant path tracking control algorithm through combining the adaptive model predictive control algorithm for lateral path tracking control, improved weight assignment method for multi-sensor data fusion and fault isolation, and novel federal Kalman filtering approach with two states chi-square detector and residual chi-square detector for detection and identification of sensor fault in autonomous vehicles. Our numerical simulation and experiment demonstrate that the developed approach can detect fault signals and identify their sources with high accuracy and sensitivity. In the double line change path tracking control experiment, when the sensors failure occurs, the proposed method shows better robustness and effectiveness than the traditional methods. It is foreseeable that this research will contribute to the development of safer and more intelligent autonomous driving system, which in turn will promote the industrial development of intelligent transportation system. Full article
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<p>The flowchart of the proposed method.</p>
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<p>Schematic of the single-track model.</p>
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<p>The block diagram of proposed faults signals detector.</p>
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<p>The principle of fault signal detector.</p>
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<p>Double lane changing control simulation: (<b>a</b>) driving scenario; and (<b>b</b>) reference trajectory.</p>
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<p>The yaw angle changes in simulation: (<b>a</b>) detected yaw angle using different sensors; and (<b>b</b>) the yaw angle error.</p>
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<p>The changes of fault detection function for yaw angles in simulation based on: (<b>a</b>) double state chi-square detector; and (<b>b</b>) residuals chi-square detector.</p>
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<p>The lateral position changes in simulation: (<b>a</b>) lateral position detected by using different sensors; and (<b>b</b>) the lateral position error.</p>
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<p>The changes of fault detection function for lateral positions based on: (<b>a</b>) double state chi-square detector; and (<b>b</b>) residuals chi-square detector.</p>
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<p>The path tracking control simulation results: (<b>a</b>) the lateral position changes; (<b>b</b>) the lateral position error before and after fault isolation; (<b>c</b>) the yaw angle changes; and (<b>d</b>) the yaw angle error before and after fault isolation.</p>
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<p>The experimental scene: (<b>a</b>) self-developed autonomous vehicle; and (<b>b</b>) trajectory of double lane changing obtained by GPS sensing system.</p>
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<p>The yaw angle changes in experiment: (<b>a</b>) detected yaw angle using different sensors; and (<b>b</b>) the yaw angle error.</p>
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<p>The changes of fault detection function for yaw angles in experiment based on: (<b>a</b>) double state chi-square detector; and (<b>b</b>) residuals chi-square detector.</p>
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<p>The lateral position changes in experiment: (<b>a</b>) lateral position detected by using different sensors; and (<b>b</b>) the lateral position error.</p>
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<p>The changes of fault detection function for lateral position in experiment based on: (<b>a</b>) double state chi-square detector; and (<b>b</b>) residuals chi-square detector.</p>
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<p>The path tracking control experiment results: (<b>a</b>) the lateral position changes; (<b>b</b>) the lateral position error; (<b>c</b>) the yaw angle changes; and (<b>d</b>) the yaw angle error.</p>
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