Event-triggered reliable control for T-S fuzzy Markov jump systems based on a delay system approach

Abstract

Abstract This chapter studies the event-triggered reliable control problem for T-S fuzzy Markov jump systems. The main purpose is to design a controller such that the resulting closed-loop system is stochastically stable and satisfies an H ∞ performance γ simultaneously. In order to tolerate some unexpected actuator failures and save the scarce communication bandwidth, the reliability and the event-triggered mechanism are also considered. The considered systems can be transformed into a time-delay system by employing some techniques. Then, in order to reduce the conservatism, a mode-dependent and delay-dependent Lyapunov-Krasovskii functional are adopted. Finally, the effectiveness and superiority of the presented design method are elaborated via an example.