Numerical stability analysis of fuzzy control systems via quadratic programming and linear matrix inequalities

Euntai Kim, Hyung Jin Kang, Mignon Park

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

This paper proposes a numerical stability analysis methodology for the singleton-type linguistic fuzzy control systems based on optimization techniques. First, it demonstrates that a singleton-type linguistic fuzzy logic controller (FLC) can be converted into a region-wise sector-bounded controller or, more generally, a polytopic system by quadratic programming (QP). Next, the convex optimization technique called linear matrix inequalities (LMI) is used to analyze the closed loop of the converted polytopic system. Finally, the applicability of the suggested methodology is highlighted via simulation results.

Original languageEnglish
Pages (from-to)333-346
Number of pages14
JournalIEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans.
Volume29
Issue number4
DOIs
Publication statusPublished - 1999 Jan 1

Fingerprint

Quadratic programming
Convergence of numerical methods
Fuzzy control
Linear matrix inequalities
Linguistics
Control systems
Controllers
Convex optimization
Fuzzy logic

All Science Journal Classification (ASJC) codes

  • Software
  • Control and Systems Engineering
  • Human-Computer Interaction
  • Computer Science Applications
  • Electrical and Electronic Engineering

Cite this

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Numerical stability analysis of fuzzy control systems via quadratic programming and linear matrix inequalities. / Kim, Euntai; Kang, Hyung Jin; Park, Mignon.

In: IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans., Vol. 29, No. 4, 01.01.1999, p. 333-346.

Research output: Contribution to journalArticle

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