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Adaptive fault-tolerant control for switched nonlinear systems based on command filter technique

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  • Wang, Yuanqing
  • Xu, Ning
  • Liu, Yajuan
  • Zhao, Xudong

Abstract

This article put forward an adaptive neural fault-tolerant control strategy for a class of switched nonlinear systems subject to actuator fault by means of the command filter approach. By using neural networks, the unknown nonlinear functions of the system under consideration are approximated, while its unmeasurable states are estimated by establishing a switched observer. Furthermore, the “explosion of complexity” issue, which arises from the derivatives of virtual controllers, is addressed with the command filter method. In order to reduce filter errors and overcome the drawbacks of the most traditional approaches, such as the ones based on dynamic surface control techniques, an error compensation mechanism was developed. In summary, by taking advantage of the command filter approach, backstepping algorithm, and average dwell time method, an adaptive NNs fault-tolerant controller is established for the system under consideration. Finally, the designed controller has the ability to make the reference signal which can be tracked by the output of the system as close as possible and the boundness of all signals within the closed-loop system can be guaranteed. The usefulness of the designed controller is illustrated by the simulation example.

Suggested Citation

  • Wang, Yuanqing & Xu, Ning & Liu, Yajuan & Zhao, Xudong, 2021. "Adaptive fault-tolerant control for switched nonlinear systems based on command filter technique," Applied Mathematics and Computation, Elsevier, vol. 392(C).
  • Handle: RePEc:eee:apmaco:v:392:y:2021:i:c:s0096300320306780
    DOI: 10.1016/j.amc.2020.125725
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    References listed on IDEAS

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    1. Yingxue Hou & Shaocheng Tong & Yongming Li, 2016. "Adaptive fuzzy backstepping control for a class of switched nonlinear systems with actuator faults," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(15), pages 3581-3590, November.
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    Cited by:

    1. Xu, Bo & Liang, Yanjun & Li, Yuan-Xin & Hou, Zhongsheng, 2022. "Adaptive command filtered fixed-time control of nonlinear systems with input quantization," Applied Mathematics and Computation, Elsevier, vol. 427(C).
    2. Xu, Ning & Zhao, Xudong & Zong, Guangdeng & Wang, Yuanqing, 2021. "Adaptive control design for uncertain switched nonstrict-feedback nonlinear systems to achieve asymptotic tracking performance," Applied Mathematics and Computation, Elsevier, vol. 408(C).
    3. Yasser Falah Hassan & Mahmood Khalid Hadi Zarkani & Mohammed Jasim Alali & Haitham Daealhaq & Hicham Chaoui, 2024. "Guaranteed H∞ Performance of Switched Systems with State Delays: A Novel Low-Conservative Constrained Model Predictive Control Strategy," Mathematics, MDPI, vol. 12(2), pages 1-24, January.
    4. Cui, Di & Zou, Wencheng & Guo, Jian & Xiang, Zhengrong, 2022. "Neural network-based adaptive finite-time tracking control of switched nonlinear systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    5. Chen, Zhongyu & Niu, Ben & Zhao, Xudong & Zhang, Liang & Xu, Ning, 2021. "Model-Based adaptive event-Triggered control of nonlinear continuous-Time systems," Applied Mathematics and Computation, Elsevier, vol. 408(C).
    6. Zhou, Zepeng & Zhu, Fanglai & Xu, Dezhi & Guo, Shenghui & Zhao, Younan, 2022. "Attack resilient control for vehicle platoon system with full states constraint under actuator faulty scenario," Applied Mathematics and Computation, Elsevier, vol. 419(C).
    7. Peng, Xiao & Wang, Yijing & Zuo, Zhiqiang, 2022. "Co-design of state-dependent switching law and control scheme for variable-order fractional nonlinear switched systems," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    8. Liu, Shanlin & Niu, Ben & Zong, Guangdeng & Zhao, Xudong & Xu, Ning, 2022. "Adaptive fixed-time hierarchical sliding mode control for switched under-actuated systems with dead-zone constraints via event-triggered strategy," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    9. Ruixia Liu & Lei Xing & Hong Deng & Weichao Zhong, 2023. "Finite-Time Adaptive Fuzzy Control for Unmodeled Dynamical Systems with Actuator Faults," Mathematics, MDPI, vol. 11(9), pages 1-22, May.
    10. Hu, Yifan & Liu, Wenhui & Liu, Guobao, 2022. "Adaptive finite‐time event‐triggered control for uncertain nonlinearly parameterized systems with unknown control direction and actuator failures," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    11. Ma, Dazhong & Wang, Tianbiao & Zhang, Huaguang & Xie, Xiangpeng, 2021. "Adaptive fault-tolerant output regulation of linear systems with unknown dynamics and actuator faults," Applied Mathematics and Computation, Elsevier, vol. 402(C).
    12. Wu, Jing & Sun, Wei & Su, Shun-Feng & Xia, Jianwei, 2022. "Neural-based adaptive control for nonlinear systems with quantized input and the output constraint," Applied Mathematics and Computation, Elsevier, vol. 413(C).

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