New delay-dependent stability and stabilization for T-S fuzzy time-delay systems under imperfect premise matching

This paper focus on the delay-dependent stability analysis and stabilization for the fuzzy control system with time delay under imperfect premise matching, in which the T-S fuzzy time-delay model and the fuzzy controller do not share the same membership functions. New delay-dependent stability conditions are proposed by selecting a new Lyapunov function. Moreover, a stabilizing condition including the information of membership functions of the fuzzy time-delay model and fuzzy controller is also obtained. Numerical example is presented to illustrate the less conservativeness and effectiveness of our method.