Stabilization of a class of stochastic switched fuzzy systems with time-delay

Stabilization of a class of parameter uncertain stochastic switched fuzzy systems with time-delay based on the T-S model is proposed using switching technology. According to theories and approaches of Lyapunov stability, linear matrix inequality (LMI) and Itȏ formula, it combines the advanced point of stochastic systems and fuzzy switched control systems. State feedback controllers of stochastic switched fuzzy systems with time-delay are designed by using parallel distributed compensation (PDC) method. Sufficient conditions on linear matrix inequalities and switching strategy achieving system global asymptotic stability of the system is discussed. In this model, each subsystem of switched system is a stochastic switched fuzzy systems with time-delay. Stochastic system belongs to uncertain system, and the cause of uncertainty is stochastic, if the subsystem is unstable, the whole stochastic switched fuzzy system with time-delay stabilization is obtained by design the appropriate switching law. Simulation results showed the feasibility and effectiveness of the method.