Unmatching Observer-based Controller Design for T-S Time-delay Systems

In this paper, the problem of stabilization for imperfect premise matching is studied, in which the T-S fuzzy observer model with time-delay and the fuzzy controller does not share the same membership functions. A sufficient condition for the stabilization via observer-based state feedback under imperfect premise matching is presented, and an unmatching observer-based state feedback controller is also constructed. The proposed control scheme enhances the design flexibility as the membership functions of the observer-based controller can be arbitrarily selected. A numerical example is given to illustrate the conservative of the proposed design method.