Robust reliable control for uncertain singular stochastic fuzzy systems with time-delay

This paper deals with the design problem of robust reliable controller for nonlinear singular stochastic systems. The Takagi-Sugeno (T-S) fuzzy model is employed to represent a nonlinear singular stochastic system with norm-bounded parameter uncertainties and time-delay. Based on linear matrix inequality (LMI) techniques and stability theory of stochastic differential equations, stochastic Lyapunov function method is adopted to design a state feedback fuzzy controller. The resulting closed-loop fuzzy system is robustly reliable stochastically stable for all admissible uncertainties as well as different actuator fault cases. A sufficient condition of existence and design method of robust reliable controller is presented. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed method.