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Fault-tolerant control for Markov jump PWA systems against actuator lose efficacy faults: An adaptive iterative learning approach

Author

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  • Xu, Nuo
  • Zhu, Yanzheng
  • Su, Chun-Yi
  • Chen, Xinkai

Abstract

In this paper, the adaptive iterative learning design issue of fault-tolerant control (FTC) is addressed for continuous-time Markov jump piecewise-affine (PWA) system against the actuator lose efficacy faults. A novel adaptive iterative learning control strategy is designed to tackle the problems of actuator faults and effective tracking. The adaptive law is used to suppress the influence of actuator faults on system stability, while the iterative learning law can update the tracking error between the original system and the reference system in real time, and the perfect tracking effect can be realized eventually. Furthermore, sufficient conditions are established to ensure the stochastic stability of the closed-loop system with guaranteed H∞ performance. Two corollaries are provided, covering the cases of single adaptive FTC and single iterative learning control. Finally, a practical study of tunnel diode circuit and a numerical example are provided to comprehensively validate the availability and accuracy of the designed adaptive iterative learning strategy.

Suggested Citation

  • Xu, Nuo & Zhu, Yanzheng & Su, Chun-Yi & Chen, Xinkai, 2026. "Fault-tolerant control for Markov jump PWA systems against actuator lose efficacy faults: An adaptive iterative learning approach," Applied Mathematics and Computation, Elsevier, vol. 512(C).
    • Handle: RePEc:eee:apmaco:v:512:y:2026:i:c:s0096300325004904
    DOI: 10.1016/j.amc.2025.129765
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    References listed on IDEAS

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    1. Jia, Guolong & Yang, Qing & Liu, Jinxu & Shen, Hao, 2025. "Reinforcement learning-based linear quadratic tracking control for partially unknown Markov jump singular interconnected systems," Applied Mathematics and Computation, Elsevier, vol. 491(C).
    2. Liu, Shuo & Zhang, Huaguang & Pang, Hongbo, 2025. "Fixed-time stability criteria and adaptive state constrained control for uncertain switched nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 498(C).
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