Abstract

The problem of robust H∞ reliable control for a class of uncertain stochastic switched non-linear systems is investigated in this paper. The parameter uncertainties are assumed to be time-varying but norm-bounded. Firstly, using the average dwell time approach, a criterion of mean-square exponential stability with H∞ performance for stochastic non-linear switched system is proposed. Then, a kind of design method of H∞ reliable control for stochastic switched non-linear system with actuator failures is presented, and the problem of robust H∞ reliable control for uncertain stochastic switched non-linear systems with actuator failures is investigated. Finally, a numerical example is presented to illustrate the effectiveness of the proposed approach.

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