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

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

Applied Mathematics and Computation, 2025, vol. 499, issue C

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.

Keywords: Finite-time boundedness; H∞ control; Fault-tolerant control; Markov jump systems; Dynamic event-triggered mechanism (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:499:y:2025:i:c:s0096300325001341

DOI: 10.1016/j.amc.2025.129407

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