Abstract

The paper focuses on sliding sector variable structure control problem for a class of T-S fuzzy stochastic Markov jump systems (MJSs). Firstly, some notions about the sliding sector for the T-S fuzzy stochastic MJSs are presented. Secondly, and then, sufficient conditions for the design of PR-sliding sector are established in the form of linear matrix inequalities(LMIs). Moreover, PR-sliding sector variable structure controller is subsequently developed to ensure stochastic stability of closed-loop systems and no chattering phenomenon occurs during whole implementation process. Finally, numerical simulation results are presented to show the effectiveness of the proposed method.

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