Fuzzy Lyapunov method for stability conditions of nonlinear systems

Cheng Wu Chen; Wei Ling Chiang; Chung Hung Tsai; Chen Yuan Chen; Morris H.L. Wang

doi:10.1142/S0218213006002618

Fuzzy Lyapunov method for stability conditions of nonlinear systems

Cheng Wu Chen, Wei Ling Chiang, Chung Hung Tsai, Chen Yuan Chen, Morris H.L. 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 a fuzzy Lyapunov method for stability analysis of nonlinear systems represented by Tagagi-Sugeno (T-S) fuzzy model. The fuzzy Lyapunov function is defined in fuzzy blending quadratic Lyapunov functions. Based on fuzzy Lyapunov functions, some stability conditions are derived to ensure nonlinear systems are asymptotic stable. By using parallel distributed compensation (PDC) scheme, we design a nonlinear fuzzy controller for the nonlinear system. This control problem will be reformulated into linear matrix inequalities (LMI) problem.

原文	???core.languages.en_GB???
頁（從 - 到）	163-171
頁數	9
期刊	International Journal on Artificial Intelligence Tools
卷	15
發行號	2
DOIs	https://doi.org/10.1142/S0218213006002618
出版狀態	已出版 - 4月 2006

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10.1142/S0218213006002618

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AB - This paper proposes a fuzzy Lyapunov method for stability analysis of nonlinear systems represented by Tagagi-Sugeno (T-S) fuzzy model. The fuzzy Lyapunov function is defined in fuzzy blending quadratic Lyapunov functions. Based on fuzzy Lyapunov functions, some stability conditions are derived to ensure nonlinear systems are asymptotic stable. By using parallel distributed compensation (PDC) scheme, we design a nonlinear fuzzy controller for the nonlinear system. This control problem will be reformulated into linear matrix inequalities (LMI) problem.

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Fuzzy Lyapunov method for stability conditions of nonlinear systems

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