Sliding-sector based variable structure control for a class of uncertain stochastic Markov jump systems

This paper is concerned with sliding sector based variable structure control design of a class of Ito-type stochastic Markov jump system subject to transition rate uncertainties and actuator failure. First, some notions about the sliding-sector for the stochastic Markov jump systems are presented. Sufficient conditions for the design of PR-sliding sector are then established in the framework of linear matrix inequalities(LMIs). The PR-sliding sector based variable structure control is subsequently developed to ensure stochastic stability of closed-loop systems and no chattering phenomenon occurs during whole implementation process. An example is presented to show the effectiveness of the proposed method.