H∞ filter design for discrete-time-delay T-S fuzzy systems

Abstract

This paper deals with the problem of H∞ filtering for discrete time Takagi-Sugeno (T-S) fuzzy systems with time delay. By using a basis-dependent Lyapunov function, a delay-dependent result on the H∞ performance of the filtering error system is presented. A sufficient condition for the existence of the filter is provided. It is shown that the filter can be obtained by solving a set of linear matrix inequalities (LMIs). A numerical example is given to demonstrate the efficiency of the proposed method.