Stabilization for a class of stochastic T-S fuzzy systems with different premises

This paper focuses on investigating stochastic analysis and stabilization problem for a class of stochastic T-S model based systems in which the fuzzy controller does not share the same premises as those of the fuzzy model. Under a hypothesis for the fuzzy basis functions of the plant and controller, an LMI based control design approach is proposed by using a common quadratic Lyapunov function. The result is finally illustrated by a numerical example.