Mixed H∞ and passive event-triggered reliable control for T-S fuzzy Markov jump systems

Abstract This paper investigates the mixed H ∞ and passive event-triggered reliable control issue for T-S fuzzy Markov jump systems. The main objective is to synthesize a controller such that the resulting closed-loop system is stochastically stable and satisfies a mixed H ∞ and passive 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. Then, a mode-dependent Lyapunov–Krasovskii functional combined with some novel integral inequalities are adopted to reduce the conservatism. Finally, an example is given to show the effectiveness and superiority of the presented design method.

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