• DocumentCode
    871608
  • Title

    On improvement of stability conditions for continuous Mamdani-like fuzzy systems

  • Author

    Sugeno, Michio ; Taniguchi, Tadanari

  • Author_Institution
    Brain Sci. Inst., Saitama, Japan
  • Volume
    34
  • Issue
    1
  • fYear
    2004
  • Firstpage
    120
  • Lastpage
    131
  • Abstract
    This paper is concerned with continuous fuzzy systems with singleton consequents, called type II fuzzy systems. It first introduces the canonical form of an unforced type II fuzzy system and its stability theorem presented in the previous study. Then, improving the stability theorem, it gives necessary and sufficient conditions such that a type II fuzzy system is stable with respect to a global quadratic Lyapunov function.
  • Keywords
    Lyapunov methods; continuous time systems; fuzzy control; fuzzy systems; stability; canonical form; continuous Mamdani-like fuzzy system; global quadratic Lyapunov function; necessary-sufficient condition; quadratic stability analysis; singleton consequents; stability theorem; type II fuzzy system; Control system synthesis; Control systems; Control theory; Fuzzy control; Fuzzy systems; Lyapunov method; Nonlinear systems; Stability analysis; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1083-4419
  • Type

    jour

  • DOI
    10.1109/TSMCB.2003.809226
  • Filename
    1262488