• DocumentCode
    3264496
  • Title

    Nonquadratic stability analysis of Takagi-Sugeno models

  • Author

    Chadli, Mohammed ; Maquin, Didier ; Ragot, José

  • Author_Institution
    CNRS, Centre de Recherche en Autom. de Nancy, Vandoeuvre-les-Nancy, France
  • Volume
    2
  • fYear
    2002
  • fDate
    10-13 Dec. 2002
  • Firstpage
    2143
  • Abstract
    This paper deals with the stability analysis of Takagi-Sugeno models (T-S). Based on piecewise quadratic Lyapunov functions and the use of the so-called S-procedure, new asymptotic stability conditions for both continuous and discrete T-S models are presented. The stability conditions are formulated in linear matrix inequalities (LMIs). Examples are given to illustrate the advantage of the proposed method.
  • Keywords
    Lyapunov methods; asymptotic stability; linear matrix inequalities; piecewise polynomial techniques; LMIs; Lyapunov methods; S-procedure; Takagi-Sugeno models; asymptotic stability; linear matrix inequalities; piecewise quadratic Lyapunov functions; stability analysis; Asymptotic stability; Linear matrix inequalities; Lyapunov method; Nonlinear systems; Optimization methods; Stability analysis; Takagi-Sugeno model; Time varying systems; Uncertainty; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7516-5
  • Type

    conf

  • DOI
    10.1109/CDC.2002.1184847
  • Filename
    1184847