Sliding mode control for T-S fuzzy stochastic systems with Markovian switching

This paper is concerned with the sliding mode control (SMC) problem for a class of T-S fuzzy stochastic systems with Markovian switching. The purpose of the problem addressed is to integrate the SMC method such that, for all admissible parameter uncertainty, external disturbance and state-dependent noise, the closed-loop system is globally asymptotically stable. Especially, it is not required that each nominal local system model shares the same input channel, which is usually assumed in some existing results. It is shown that both the reachability of sliding surfaces and the stability of sliding mode dynamics can be ensured.