Stability analysis and synthesis for an affine fuzzy control system via LMI and ILMI: Continuous case

Euntai Kim, Seungwoo Kim

Research output: Contribution to journalArticle

122 Citations (Scopus)

Abstract

A new stability analysis and controller synthesis methodology for a continuous affine fuzzy system is proposed in this paper. The method suggested herein is based on the numerical convex optimization techniques. In analysis, the stability condition under which the affine fuzzy system is quadratically stable is derived and is recast in the formulation of linear matrix inequalities (LMIs). The emphasis of this paper, however, is on the synthesis of fuzzy controller based on the derived stability condition. In synthesis, the stabilizability condition turns out to be in the formulation of bilinear matrix inequalities (BMIs) and is solved numerically in an iterative manner. Fuzzy local controllers also assume the affine form and their bias terms are solved in a numerical manner simultaneously together with the gains. Continuous iterative LMI (ILMI) approach is presented to obtain a feasible solution for the synthesis of the affine fuzzy system.

Original languageEnglish
Pages (from-to)391-400
Number of pages10
JournalIEEE Transactions on Fuzzy Systems
Volume10
Issue number3
DOIs
Publication statusPublished - 2002 Jun 1

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computational Theory and Mathematics
  • Artificial Intelligence
  • Applied Mathematics

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