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

Ying Jen Chen, Hiroshi Ohtake, Kazuo Tanaka, Wen June Wang, Hua O. Wang

研究成果: 雜誌貢獻期刊論文同行評審

86 引文 斯高帕斯(Scopus)

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 etal. 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.

原文???core.languages.en_GB???
文章編號6189778
頁(從 - 到)1166-1173
頁數8
期刊IEEE Transactions on Fuzzy Systems
20
發行號6
DOIs
出版狀態已出版 - 2012

指紋

深入研究「Relaxed stabilization criterion for T-S fuzzy systems by minimum-type piecewise-lyapunov-function-based switching fuzzy controller」主題。共同形成了獨特的指紋。

引用此