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

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.