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research-article

Intelligent dynamic practical-sliding-mode control for singular Markovian jump systems

Authors:

Ligang WuAuthors Info & Claims

Volume 607, Issue C

Pages 153 - 172

https://doi.org/10.1016/j.ins.2022.05.059

Published: 01 August 2022 Publication History

Highlights

•

Both the sliding variables of linear and integral-type are designed depending on the singular matrix of the singular MJS, based on which the uniformly bounded stochastic stability of resulting sliding motions are analyzed.

•

Interval type-2 FNN-based dynamic SMC laws are proposed depending on the system mode, which can achieve practical sliding modes of the sliding variables and directly estimate the unknown function.

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The dynamic SMC variables are designed to simultaneously act as the inputs of the presented interval type-2 FNN, of which the approximation error bound can also be estimated by our designed adaptive laws.

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Moreover, some sufficient conditions are developed for the determination of the parameters of the sliding variables and control laws.

Abstract

This paper is concerned with the problems of dynamic practical-sliding-mode control (SMC) and estimation of unknown functions for singular Markovian jump systems (MJSs) with system perturbations, by using an ellipsoidal-type interval type-2 fuzzy neural networks (FNNs). For the interval type-2 FNN, both the system states and control inputs are utilized as its inputs. Then, by using respectively the linear and the integral sliding variables depending on both the system state and control input, the design of novel interval type-2 FNN-integrated intelligent dynamic practical SMCs to achieve practical sliding modes in finite time is presented. The resulting practical sliding motions are proved to be semi-global practical finite-time stochastic stable based on the Lyapunov function. Furthermore, by exploring some adaptive laws based on the interval type-2 FNN, the unknown function can be approximated, and even the bound of the approximation errors of the interval type-2 FNN can be estimated, under the system perturbation. Finally, an application example is introduced to illustrate the validity of the presented intelligent dynamic practical SMC techniques.

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Cited By

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https://dl.acm.org/doi/10.1109/TFUZZ.2024.3411389
Shen CXu JCheng JYan HCao J(2024)Protocol-based SMC for singularly perturbed systems with switching parameters and deception attacksInformation Sciences: an International Journal10.1016/j.ins.2024.121089679:COnline publication date: 1-Sep-2024
https://dl.acm.org/doi/10.1016/j.ins.2024.121089
Peng ZRen J(2024)Robust Preview Tracking Control of Singular Markovian Jump Systems via a Sliding Mode StrategyCircuits, Systems, and Signal Processing10.1007/s00034-024-02708-z43:9(5532-5555)Online publication date: 1-Sep-2024
https://dl.acm.org/doi/10.1007/s00034-024-02708-z
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Intelligent dynamic practical-sliding-mode control for singular Markovian jump systems

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cover image Information Sciences: an International Journal

Information Sciences: an International Journal Volume 607, Issue C

Aug 2022

1637 pages

ISSN:0020-0255

Issue’s Table of Contents

Elsevier Inc.

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Elsevier Science Inc.

United States

Publication History

Published: 01 August 2022

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Cited By

Jiang WWu JZhu HGao L(2024)Multimodel Fusion Health Assessment for Multistate Industrial Robot via Fuzzy Deep Residual Shrinkage Network and Versatile ClusterIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2024.341138932:8(4735-4746)Online publication date: 1-Aug-2024
https://dl.acm.org/doi/10.1109/TFUZZ.2024.3411389
Shen CXu JCheng JYan HCao J(2024)Protocol-based SMC for singularly perturbed systems with switching parameters and deception attacksInformation Sciences: an International Journal10.1016/j.ins.2024.121089679:COnline publication date: 1-Sep-2024
https://dl.acm.org/doi/10.1016/j.ins.2024.121089
Peng ZRen J(2024)Robust Preview Tracking Control of Singular Markovian Jump Systems via a Sliding Mode StrategyCircuits, Systems, and Signal Processing10.1007/s00034-024-02708-z43:9(5532-5555)Online publication date: 1-Sep-2024
https://dl.acm.org/doi/10.1007/s00034-024-02708-z
Lin MHan JXu Y(2024)Performance estimation of switched linear systems via n×(n+2) generalized coordinate transformationsAsian Journal of Control10.1002/asjc.332226:4(2037-2046)Online publication date: 24-Jul-2024
https://dl.acm.org/doi/10.1002/asjc.3322
Zhu QZhuang GXia JXie X(2023)Actuator fault and Bernoulli random delay-based H ∞ reliable fuzzy control of singular hybrid vehicle suspension systems with impulsive perturbationsInformation Sciences: an International Journal10.1016/j.ins.2023.119493647:COnline publication date: 1-Nov-2023
https://dl.acm.org/doi/10.1016/j.ins.2023.119493
Alyoussef FKaya I(2023)Improved adaptive dynamic non-singular terminal sliding mode controller with fractional disturbance observerInformation Sciences: an International Journal10.1016/j.ins.2023.119110641:COnline publication date: 1-Sep-2023
https://dl.acm.org/doi/10.1016/j.ins.2023.119110

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