H∞ filter design for fuzzy systems via fuzzy Lyapunov functions

This paper studies the problem of H_∞ filter design for fuzzy systems. By constructing a new type of fuzzy H_∞ filter, a novel H_∞ design approach is developed. The approach is facilitated by introducing some slack matrix variables. These matrix variables decouple the Lyapunov matrix and the system matrices, which makes the H_∞ design feasible. The proposed approach leads to a sufficient condition in the form of linear matrix inequalities (LMIs). A numerical example is given to illustrate our method.