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Observer-based finite-time H∞ fault-tolerant control for uncertain Markov jump systems against generally bounded transition probabilities via two-step dynamic event-triggered approach

Author

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  • Pang, Guochen
  • Pan, Xiang
  • Chen, Xiangyong
  • Cao, Jinde
  • Liu, Yang
  • Qiu, Jianlong

Abstract

This paper investigates the problem of finite-time H∞ fault-tolerant control for uncertain Markov jump systems with generally bounded transition probabilities using a two-step dynamic event-triggered approach. A novel framework is proposed to optimize data transmission and improve fault tolerance via this approach. First, a dynamic event-triggered mechanism and an observer are introduced where a virtual observer is designed to enhance accuracy and mitigate fault impact. The actual H∞ observer is then constructed by processing unmeasurable information. Second, based on the obtained estimates, a co-design method for the dynamic event-triggered mechanism and the H∞ fault-tolerant controller is developed. Finally, comparative experiments and two simulation examples validate the effectiveness and superiority of the proposed method.

Suggested Citation

  • Pang, Guochen & Pan, Xiang & Chen, Xiangyong & Cao, Jinde & Liu, Yang & Qiu, Jianlong, 2025. "Observer-based finite-time H∞ fault-tolerant control for uncertain Markov jump systems against generally bounded transition probabilities via two-step dynamic event-triggered approach," Applied Mathematics and Computation, Elsevier, vol. 499(C).
    • Handle: RePEc:eee:apmaco:v:499:y:2025:i:c:s0096300325001341
    DOI: 10.1016/j.amc.2025.129407
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