Sliding mode ℋ∞ℋ∞ control design for uncertain nonlinear stochastic state-delayed Markovian jump systems with actuator failures

This paper presents a new approach for sliding mode control (SMC) design of a class of uncertain nonlinear stochastic Markovian jump systems (MJSs) with time-varying delay. The attention is focused on removing a structural assumption, under which several studies concerning SMC to accommodate Itô stochastic systems have been reported. Sufficient conditions in terms of LMIs are established to guarantee the existence of the sliding surface, then the reachability is analyzed. Compared with the existing results, the mode-independent sliding surface can be derived to weaken jumping effect. The theoretical results are illustrated by a numerical example.