Delay-dependent H∞ filter design for fuzzy descriptor continuous-time systems

This paper discusses the H∞ filtering problem for T-S fuzzy descriptor systems with time-delay. An Interval delay-dependent sufficient condition for the existence of a H∞ filter is given in terms of linear matrix inequality(LMI) by using of the Lyapunov-Krasovskii theorem and the free-weighting matrix technique, which guarantees the filtering error system to be regular, impulse-free and stable with a prescribed H∞ performance index. A numerical example is given to illustrate the effectiveness of the method.