Global stability condition of fuzzy model-based controllers via evolutionary computation

Lanka Udawatta, Keigo Watanabe, Kazuo Kiguchi, Kiyotaka Izumi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

This paper presents a new concept for solving fuzzy controller stability problems on matrix inequalities via evolutionary computation (EC). Gain scheduling problem of a multi-model fuzzy system, which satisfies the Lyapunov stability criteria, is solved. The generalized eigenvalue problem (GEVP) can be directly introduced into 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). Examples for illustrating the proposed methodology are taken into consideration and the results show the effectiveness.

Original languageEnglish
Title of host publicationIEEE International Conference on Fuzzy Systems
Pages238-243
Number of pages6
Volume1
Publication statusPublished - 2002
Externally publishedYes
Event2002 IEEE International Conference on Fuzzy Systems: FUZZ-IEEE'02 - Honolulu, HI, United States
Duration: May 12 2002May 17 2002

Other

Other2002 IEEE International Conference on Fuzzy Systems: FUZZ-IEEE'02
CountryUnited States
CityHonolulu, HI
Period5/12/025/17/02

Fingerprint

controllers
fuzzy systems
scheduling
matrices
penalties
eigenvalues
methodology

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Udawatta, L., Watanabe, K., Kiguchi, K., & Izumi, K. (2002). Global stability condition of fuzzy model-based controllers via evolutionary computation. In IEEE International Conference on Fuzzy Systems (Vol. 1, pp. 238-243)

Global stability condition of fuzzy model-based controllers via evolutionary computation. / Udawatta, Lanka; Watanabe, Keigo; Kiguchi, Kazuo; Izumi, Kiyotaka.

IEEE International Conference on Fuzzy Systems. Vol. 1 2002. p. 238-243.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Udawatta, L, Watanabe, K, Kiguchi, K & Izumi, K 2002, Global stability condition of fuzzy model-based controllers via evolutionary computation. in IEEE International Conference on Fuzzy Systems. vol. 1, pp. 238-243, 2002 IEEE International Conference on Fuzzy Systems: FUZZ-IEEE'02, Honolulu, HI, United States, 5/12/02.
Udawatta L, Watanabe K, Kiguchi K, Izumi K. Global stability condition of fuzzy model-based controllers via evolutionary computation. In IEEE International Conference on Fuzzy Systems. Vol. 1. 2002. p. 238-243
Udawatta, Lanka ; Watanabe, Keigo ; Kiguchi, Kazuo ; Izumi, Kiyotaka. / Global stability condition of fuzzy model-based controllers via evolutionary computation. IEEE International Conference on Fuzzy Systems. Vol. 1 2002. pp. 238-243
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