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

Lanka Udawatta, Keigo Watanabe, Kazuo Kiguchi, Kiyotaka Izumi

Research output: Contribution to journalConference article

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
Pages (from-to)238-243
Number of pages6
JournalIEEE International Conference on Fuzzy Systems
Volume1
Publication statusPublished - Dec 31 2002
Externally publishedYes
Event2002 IEEE International Conference on Fuzzy Systems: FUZZ-IEEE'02 - Honolulu, HI, United States
Duration: May 12 2002May 17 2002

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Artificial Intelligence
  • Applied Mathematics

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