An improved result for stabilization and H∞ control of T-S fuzzy systems

A new stabilization condition for T-S fuzzy systems via the fuzzy Lyapunov function and the non-PDC controller is proposed in this paper. Unlike the existing literature, the bounds of the time derivatives of membership functions are not required and the BMIs problems do net arise, either. All stability conditions are expressed in the form of linear matrix inequalities (LMIs). We also extend the proposed idea to solve the H_∞ fuzzy control problems. At the end of each subsection, practical examples are given to illustrate the success of the proposed approach.