Relaxed stabilization criterion for T-S fuzzy systems by minimum-type piecewise-lyapunov-function-based switching fuzzy controller

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Title:	Relaxed stabilization criterion for T-S fuzzy systems by minimum-type piecewise-lyapunov-function-based switching fuzzy controller
Authors:	王文俊;Chen, Ying-Jen;Ohtake, H.;Tanaka, K.;Wang, Wen-June;Wang, H. O.
Contributors:	資訊電機學院電機工程學系
Keywords:	Bilinear matrix inequality (BMI);Fuzzy control;Linear matrix inequalities;Lyapunov methods;path-following method;piecewise Lyapunov function;relaxed stabilization criterion;Switches;switching fuzzy controller;Symmetric matrices;Takagi-Sugeno (T-S) fuzzy system
Date:	2012-12-10
Issue Date:	2026-04-23 14:37:12 (UTC+8)
Publisher:	Institute of Electrical and Electronics Engineers Inc.;IEEE
Abstract:	摘要： This paper proposes the minimum-type piecewise-Lyapunov-function-based switching fuzzy controller that switches accompanying the piecewise Lyapunov function. By applying this switching fuzzy controller with the minimum-type piecewise Lyapunov function, the relaxed stabilization criterion is obtained for continuous Takagi-Sugeno (T-S) fuzzy systems. Some conditions of the relaxed stabilization criterion are represented by bilinear matrix inequalities (BMIs), which contain some bilinear terms as the product of a full matrix and a scalar. According to the literature, the path-following method is very effective for this kind of BMI problem; hence, it is utilized to obtain solutions of the criterion. Xie et al. in 1997 chose two types (i.e., minimum type and maximum type) of piecewise Lyapunov functions as the Lyapunov function candidates. The reasons for why this study only chooses the minimum-type piecewise Lyapunov function as the Lyapunov function candidate are illustrated. Moreover, the numerical example shows the relaxation of the proposed criterion. 其他題名： TFUZZ 出版者： IEEE 出版日期： 2012-12-01 出處： IEEE transactions on fuzzy systems, 2012-12, Vol.20 (6), p.1166-1173 資源來源： IEEE Xplore 識別號： ISSN: 1063-6706 識別號： EISSN: 1941-0034 識別號： DOI: 10.1109/TFUZZ.2012.2196049 識別號： CODEN: IEFSEV
Appears in Collections:	[Department of Electrical Engineering] journal & Dissertation

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