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http://dx.doi.org/10.5302/J.ICROS.2008.14.7.615

H∞ Control of T-S Fuzzy Systems Using a Fuzzy Basis- Function-Dependent Lyapunov Function  

Choi, Hyoun-Chul (서울대학교 전기 컴퓨터공학부)
Chwa, Dong-Kyoung (아주대학교 전자공학부)
Hong, Suk-Kyo (아주대학교 전자공학부)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.14, no.7, 2008 , pp. 615-623 More about this Journal
Abstract
This paper proposes an $H_{\infty}$ controller design method for Takagi-Sugeno (T-S) fuzzy systems using a fuzzy basis-function-dependent Lyapunov function. Sufficient conditions for the guaranteed $H_{\infty}$ performance of the T-S fuzzy control system are given in terms of linear matrix inequalities (LMIs). These LMI conditions are further used for a convex optimization problem in which the $H_{\infty}-norm$ of the closed-loop system is to be minimized. To facilitate the basis-function-dependent Lyapunov function approach and thus improve the closed-loop system performance, additional decision variables are introduced in the optimization problem, which provide an additional degree-of-freedom and thus can enlarge the solution space of the problem. Numerical examples show the effectiveness of the proposed method.
Keywords
Takagi-Sugeno fuzzy system$H_{\infty}$ control; fuzzy basis-function-dependent Lyapunov function; linear matrix inequality;
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