Abstract

This paper is concerned with the design problem of robust Hinfin reliable controller for nonlinear singular stochastic systems with actuator failures via a fuzzy-control approach. The Takagi-Sugeno (T-S) fuzzy model is employed to represent a nonlinear singular stochastic system with norm-bounded parameter uncertainties. The objective is to design a state feedback fuzzy controller such that, for all admissible uncertainties as well as normal and different actuator failure cases, the resulting closed-loop system is robustly stochastically stable while satisfying a prescribed performance constraint. Based on linear matrix inequality (LMI) techniques, stochastic Lyapunov function method is adopted to establish sufficient conditions of existence and design method of robust Hinfin reliable fuzzy controller in terms of stability theory for stochastic differential equations. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed method.

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