H∞ filtering for discrete-time fuzzy systems with delayed measurement

This paper is concerned with the problem of fuzzy H_∞ filtering for a class of discrete-time Takagi-Sugeno fuzzy systems with delayed measurement. The purpose of the addressed filtering problem is to design a fuzzy filter such that the filtering error dynamics is asymptotically stable with a prescribed performance level. The fuzzy Lyapunov function approach is adopted and delay-dependent sufficient conditions for the solvability of the problem are obtained in terms of linear matrix inequalities. A numerical example is provided to demonstrate the effectiveness of the proposed method.