Delay-dependent ℋ∞ filter design for discrete-time fuzzy descriptor system

In this paper, the ℋ_∞ filtering problem for T-S fuzzy descriptor system with interval time-delay is investigated. By using of Lyapunov-Krasovskii theorem combination with free-weighting matrix technique, interval delay-dependent sufficient condition for the existence of ℋ_∞ filtering is established in terms of linear matrix inequality (LMI), which ensures the considered system to be regular, causal and stable with a prescribed ℋ_∞ performance index. The suitable filter is derived through the feasible solution of LMIs. A numerical example is given to show the effectiveness of the obtained results.