H∞ controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions and bilinear matrix inequalities

Authors:
Gang Feng;Cai-Lian Chen;Dong Sun;Yan Zhu
Affiliations:
Dept. of Manuf. Eng. & Eng. Manage., City Univ. of Hong Kong, China;-;-;-
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2005

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Abstract

This work presents an H∞ controller design method for fuzzy dynamic systems based on techniques of piecewise smooth Lyapunov functions and bilinear matrix inequalities. It is shown that a piecewise continuous Lyapunov function can be used to establish the global stability with H∞ performance of the resulting closed-loop fuzzy control systems and the control laws can be obtained by solving a set of bilinear matrix inequalities (BMIs). Two examples are given to illustrate the application of the proposed methods.