A Delay-Dependent Approach to H∞ Filtering for Fuzzy Time-Varying Delayed Systems

This paper investigates delay-dependent H_∞ filter design problems for discrete-time fuzzy systems with time-varying delays. Firstly, a novel delay-dependent piecewise Lyapunov-Krasovskii functional (DDPLKF) is proposed, in which both the upper bound of delays and the delay interval are considered. Based on this DDPLKF, the delay-dependent stability criteria for discrete-time systems with time-varying delays are obtained. Then, delay-dependent H_∞ filter design approaches are proposed. The filter parameters can be obtained by solving a set of linear matrix inequalities (LMIs). A simulation example is also given to illustrate the FL filter design procedures and the performance.