Dissipative Asynchronous T–S Fuzzy Control For Singular Semi-Markovian Jump Systems

This article addresses the problems of the dissipative asynchronous Takagi–Sugeno–Kong fuzzy control for a kind of singular semi-Markov jump system. An adjustable quantized approach is presented to deal with the uncertainties, nonlinear disturbance, actuator faults, and time-varying delay of the system. To deal with the problem of the nonsynchronous between system modes and controller modes, an asynchronous method is utilized. Then, a novel asynchronous sliding-mode controller is designed with an output measurement quantizer that is adaptive to the actuator faults and has good performance in practical applications. By solving the linear matrix inequalities, the sufficient conditions are obtained to guarantee the closed system stochastically admissible and strictly
$(Q,R,S)-\alpha -$
dissipative and ensure the reachability of the sliding-mode surface. Finally, two numerical examples and comparisons are provided to illustrate the effectiveness and the priority of the proposed technique.