Solution to global stability of fuzzy regulators via evolutionary computation

Lanka Udawatta; Keigo Watanabe; Kazuo Kiguchi; Kiyotaka Izumi

doi:10.1016/j.asoc.2003.05.009

Solution to global stability of fuzzy regulators via evolutionary computation

Lanka Udawatta, Keigo Watanabe, Kazuo Kiguchi, Kiyotaka Izumi

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

2 Citations (Scopus)

Abstract

A novel approach for solving fuzzy model-based stability problems via evolutionary computation (EC) is presented. Gain scheduling problem of a multi-model fuzzy system that satisfies the Lyapunov stability criteria is solved. The generalized eigenvalue problem (GEVP) can be directly introduced to EC in searching positive definite (PD) or positive semi-definite (PSD) matrices, by making a penalty for an individual that violates the inequality condition in order to solve the nonlinear constraints or linear matrix inequalities (LMIs). Four examples for illustrating the proposed methodology are included and the results show the effectiveness.

Original language	English
Pages (from-to)	25-34
Number of pages	10
Journal	Applied Soft Computing Journal
Volume	4
Issue number	1
DOIs	https://doi.org/10.1016/j.asoc.2003.05.009
Publication status	Published - Feb 2004
Externally published	Yes

Keywords

Evolutionary computation
Fuzzy controllers
Linear matrix inequalities
System stability

ASJC Scopus subject areas

Software

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10.1016/j.asoc.2003.05.009

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title = "Solution to global stability of fuzzy regulators via evolutionary computation",

abstract = "A novel approach for solving fuzzy model-based stability problems via evolutionary computation (EC) is presented. Gain scheduling problem of a multi-model fuzzy system that satisfies the Lyapunov stability criteria is solved. The generalized eigenvalue problem (GEVP) can be directly introduced to EC in searching positive definite (PD) or positive semi-definite (PSD) matrices, by making a penalty for an individual that violates the inequality condition in order to solve the nonlinear constraints or linear matrix inequalities (LMIs). Four examples for illustrating the proposed methodology are included and the results show the effectiveness.",

keywords = "Evolutionary computation, Fuzzy controllers, Linear matrix inequalities, System stability",

author = "Lanka Udawatta and Keigo Watanabe and Kazuo Kiguchi and Kiyotaka Izumi",

year = "2004",

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volume = "4",

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T1 - Solution to global stability of fuzzy regulators via evolutionary computation

AU - Udawatta, Lanka

AU - Watanabe, Keigo

AU - Kiguchi, Kazuo

AU - Izumi, Kiyotaka

PY - 2004/2

Y1 - 2004/2

N2 - A novel approach for solving fuzzy model-based stability problems via evolutionary computation (EC) is presented. Gain scheduling problem of a multi-model fuzzy system that satisfies the Lyapunov stability criteria is solved. The generalized eigenvalue problem (GEVP) can be directly introduced to EC in searching positive definite (PD) or positive semi-definite (PSD) matrices, by making a penalty for an individual that violates the inequality condition in order to solve the nonlinear constraints or linear matrix inequalities (LMIs). Four examples for illustrating the proposed methodology are included and the results show the effectiveness.

AB - A novel approach for solving fuzzy model-based stability problems via evolutionary computation (EC) is presented. Gain scheduling problem of a multi-model fuzzy system that satisfies the Lyapunov stability criteria is solved. The generalized eigenvalue problem (GEVP) can be directly introduced to EC in searching positive definite (PD) or positive semi-definite (PSD) matrices, by making a penalty for an individual that violates the inequality condition in order to solve the nonlinear constraints or linear matrix inequalities (LMIs). Four examples for illustrating the proposed methodology are included and the results show the effectiveness.

KW - Evolutionary computation

KW - Fuzzy controllers

KW - Linear matrix inequalities

KW - System stability

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JO - Applied Soft Computing

JF - Applied Soft Computing

SN - 1568-4946

IS - 1

ER -

Solution to global stability of fuzzy regulators via evolutionary computation

Abstract

Keywords

ASJC Scopus subject areas

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