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

Abstract

This paper investigates the problem of finite-time $H_{\infty }$ 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 $H_{\infty }$ 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 $H_{\infty }$ fault-tolerant controller is developed. Finally, comparative experiments and two simulation examples validate the effectiveness and superiority of the proposed method.