H∞ filter design for fuzzy systems via fuzzy Lyapunov functions
Xiao‐Heng Chang, Guang‐Hong Yang · 2011
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.