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Adaptive fault tolerant control for a class of switched nonlinear systems with unknown control directions

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  • Meng, Xin
  • Zhai, Ding
  • Fu, Zhumu
  • Xie, Xiangpeng

Abstract

This paper studies the problem of adaptive fault tolerant control for a class of switched nonlinear systems with unknown control directions. Through a coordinate transformation, an equivalent system is constructed to eliminate the adverse effects of the unknown control coefficients. Then combining with fuzzy approximation and backstepping design principle, an adaptive fault tolerant control scheme is proposed. Further, by constructing common Lyapunov functions, it is proved that closed-loop system is bounded and the tracking error remains in a neighborhood of the origin. The given simulation example demonstrates the effectiveness of the proposed control approach.

Suggested Citation

  • Meng, Xin & Zhai, Ding & Fu, Zhumu & Xie, Xiangpeng, 2020. "Adaptive fault tolerant control for a class of switched nonlinear systems with unknown control directions," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    • Handle: RePEc:eee:apmaco:v:370:y:2020:i:c:s0096300319309051
    DOI: 10.1016/j.amc.2019.124913
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    References listed on IDEAS

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    1. Hao, Li-Ying & Yu, Ying & Li, Hui, 2019. "Fault tolerant control of UMV based on sliding mode output feedback," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 433-455.
    2. Li-Bing Wu & Xi-Qin He & Da-Qing Zhang & Hong-Wei Jia, 2018. "Adaptive $ H_{\infty } $ H∞ fault-tolerant control for a class of uncertain switched nonlinear systems with multiple state time delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(8), pages 1784-1794, June.
    3. Zhai, Ding & Lu, An-Yang & Li, Jing-Hao & Zhang, Qing-Ling, 2016. "Simultaneous fault detection and control for switched linear systems with mode-dependent average dwell-time," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 767-792.
    4. Jian Li & Guang-Hong Yang, 2016. "Simultaneous fault detection and control for switched systems with actuator faults," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(10), pages 2411-2427, July.
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    Cited by:

    1. Yao, Hejun & Gao, Fangzheng & Huang, Jiacai & Wu, Yuqiang, 2021. "Global prescribed-time stabilization via time-scale transformation for switched nonlinear systems subject to switching rational powers," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    2. 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).
    3. Yan, Yan & Wu, Libing & Yan, Weijun & Hu, Yuhan & Zhao, Nannan & Chen, Ming, 2022. "Finite-time event-triggered fault-tolerant control for a family of pure-feedback systems," Applied Mathematics and Computation, Elsevier, vol. 426(C).
    4. Wang, Jiaqi & Fang, Fang & Yi, Xiaojian & Liu, Yajuan, 2021. "Dynamic event-triggered fault estimation and sliding mode fault-tolerant control for networked control systems with sensor faults," Applied Mathematics and Computation, Elsevier, vol. 389(C).
    5. Yuan, Manman & Zhai, Junyong & Ye, Hui, 2022. "Adaptive output feedback control for a class of switched stochastic nonlinear systems via an event-triggered strategy," Applied Mathematics and Computation, Elsevier, vol. 422(C).

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