Fuzzy control for Itô type uncertain stochastic systems

This paper is concerned with robust stochastic stabilization problem for a class of uncertain stochastic fuzzy systems. The purpose is to design a state-feedback fuzzy controller such that the resulting closed-loop system is robustly stochastically asymptotically stable. Sufficient conditions for the solvability of this problem are obtained by using matrix operations and stochastic Lyapunov approach. A desired controller can be obtained in terms of a set of linear matrix inequalities. Finally, a numerical example is given to demonstrate the effectiveness of the provided results.