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

Research output: Contribution to journal › Article › peer-review

82 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	163-171
Number of pages	9
Journal	International Journal on Artificial Intelligence Tools
Volume	15
Issue number	2
DOIs	https://doi.org/10.1142/S0218213006002618
State	Published - Apr 2006

Keywords

Fuzzy Lyapunov method
Linear matrix inequality

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10.1142/S0218213006002618

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abstract = "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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author = "Chen, {Cheng Wu} and Chiang, {Wei Ling} and Tsai, {Chung Hung} and Chen, {Chen Yuan} and Wang, {Morris H.L.}",

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AU - Chen, Cheng Wu

AU - Chiang, Wei Ling

AU - Tsai, Chung Hung

AU - Chen, Chen Yuan

AU - Wang, Morris H.L.

PY - 2006/4

Y1 - 2006/4

N2 - 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.

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.

KW - Fuzzy Lyapunov method

KW - Linear matrix inequality

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DO - 10.1142/S0218213006002618

M3 - 期刊論文

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SP - 163

EP - 171

JO - International Journal on Artificial Intelligence Tools

JF - International Journal on Artificial Intelligence Tools

IS - 2

ER -

Fuzzy Lyapunov method for stability conditions of nonlinear systems

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