Stability analysis and controller design of T-S fuzzy systems with time-delay under imperfect premise matching

The issue of the stability and controller design of Takagi-Sugeno (T-S) fuzzy control systems with time-delay is investigated under imperfect premise matching when the T-S fuzzy time-delay model and fuzzy controller do not share the same membership functions. A new stability criterion which contains the information of membership functions is derived. The new stability criterion is less conservative, and enhances the design flexibility. Two numerical examples are presented to illustrate the conservativeness and effectiveness of the proposed method.