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Adaptive fault-tolerant control for a class of stochastic nonlinear systems with multiple sensor faults

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  • Xin-Nan Zhang
  • Xiao-Jian Li

Abstract

This paper investigates the problem of adaptive fault-tolerant control for a class of single-input and single-output nonlinear Itô stochastic systems with unknown dynamics and multiple sensor faults. Due to the partial loss of effectiveness of sensors, each measured state contains an unknown time-varying fault parameter. Then, to circumvent the main obstacle caused by the coupling of unknown fault parameters and real states, a new method of fault parameters separating of stochastic nonlinear systems is proposed. Combining with the modified backstepping design techniques, an adaptive state feedback controller is constructed recursively to estimate unknown fault parameters and guarantee the stabilisation of the stochastic system. By using quartic Lyapunov functions, it is proved that all signals of the closed-loop system are bounded in probability. Finally, simulation results are given to illustrate the effectiveness of the proposed controller design method.

Suggested Citation

  • Xin-Nan Zhang & Xiao-Jian Li, 2020. "Adaptive fault-tolerant control for a class of stochastic nonlinear systems with multiple sensor faults," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(12), pages 2217-2237, September.
    • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:12:p:2217-2237
    DOI: 10.1080/00207721.2020.1793231
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    Cited by:

    1. Sun, Meng & Zhuang, Guangming & Xia, Jianwei & Wang, Yanqian & Chen, Guoliang, 2022. "Stochastic admissibility and H∞ output feedback control for singular Markov jump systems under dynamic measurement output event-triggered strategy," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Li, Jing & Zhu, Quanxin, 2023. "Event-triggered impulsive control of stochastic functional differential systems," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    3. Khebbache, Hicham & Benmicia, Abderrahim & Labiod, Salim & Bounar, Naamane & Boulkroune, Abdesselem, 2024. "Composite adaptive exponential tracking control for large-scale nonlinear systems with sensor faults," Applied Mathematics and Computation, Elsevier, vol. 475(C).
    4. 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).

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