Reliable mixed H∞/passive control for T-S fuzzy semi-Markovian jump systems under different event-triggered schemes

This study investigates the problem of reliable mixed H-infinity/passive control for Takagi-Sugeno (T-S) fuzzy semi-Markovian jump systems under different event-triggered schemes. An asynchronous fuzzy fault-tolerant controller is designed to deal with the actuator failures, which results in the closed-loop system is stochastically stable with a prescribed mixed H-infinity/passive performance level even if the actuator failures appear. In order to relieve the transmission pressure over the network, the authors utilise different event-triggered schemes and compare their ability of network resource saving. In addition, there is a difference between the system modes and the controller modes to formulate the asynchronisation phenomena. By implementing the delay system method, in combination with the free-weighting matrix and Lyapunov-Krasovskii functional, some conditions on the performance analysis are established to ensure the stochastic stability of the system. Then, controller gain matrices and event-triggered matrices can be obtained simultaneously based on a group of feasible linear matrix inequalities. Finally, simulations are given to show the availability of the proposed method.