Finite-time H∞ fuzzy control for discrete-time stochastic systems

This paper deals with the problems of finite-time stochastic stabilization and finite-time H∞ control for discrete-time Takagi-Sugeno(T-S)fuzzy stochastic systems. The purpose of the finite-time stochastic stabilization problem is to design a state feedback fuzzy controller such that the closed-loop fuzzy system is finite-time stochastic stable. In the H∞ control problem, in addition to the finite-time stochastic stability requirement, a prescribed performance is required to be achieved. Linear matrix inequalities (LMIs) sufficient conditions are developed to solve these problems, respectively. The expressions of desired state feedback fuzzy controllers are given. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed method.