Solution to global stability of fuzzy regulators via evolutionary computation

Lanka Udawatta, Keigo Watanabe, Kazuo Kiguchi, Kiyotaka Izumi

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)25-34
Number of pages10
JournalApplied Soft Computing Journal
Volume4
Issue number1
DOIs
Publication statusPublished - Feb 1 2004

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Evolutionary algorithms
Stability criteria
Fuzzy systems
Linear matrix inequalities
Scheduling

All Science Journal Classification (ASJC) codes

  • Software

Cite this

Solution to global stability of fuzzy regulators via evolutionary computation. / Udawatta, Lanka; Watanabe, Keigo; Kiguchi, Kazuo; Izumi, Kiyotaka.

In: Applied Soft Computing Journal, Vol. 4, No. 1, 01.02.2004, p. 25-34.

Research output: Contribution to journalArticle

Udawatta, Lanka ; Watanabe, Keigo ; Kiguchi, Kazuo ; Izumi, Kiyotaka. / Solution to global stability of fuzzy regulators via evolutionary computation. In: Applied Soft Computing Journal. 2004 ; Vol. 4, No. 1. pp. 25-34.
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