• DocumentCode
    1711851
  • Title

    Non-quadratic stabilisation of discrete Takagi Sugeno fuzzy models

  • Author

    Guerra, Thierry Marie ; Perruquetti, Wilfrid

  • Author_Institution
    LAMIH, UMR CNRS, Univ. of Valenciennes, France
  • Volume
    3
  • fYear
    2001
  • fDate
    6/23/1905 12:00:00 AM
  • Firstpage
    1271
  • Lastpage
    1274
  • Abstract
    Deals with discrete Takagi Sugeno fuzzy models. These models allow the representation of numerous nonlinear models, and powerful tools are available to derive control laws. Those ones are mainly based on a typical Lyapunov approach using well-known quadratic functions. The main difference in the proposed approach is the use of non-quadratic Lyapunov functions. It allows the definition of new stability conditions which are less conservative than in the quadratic case. Examples illustrate the efficiency of the proposed approaches
  • Keywords
    Lyapunov methods; discrete systems; fuzzy systems; matrix algebra; stability criteria; control laws; discrete Takagi Sugeno fuzzy models; nonlinear models; nonquadratic Lyapunov functions; nonquadratic stabilisation; stability conditions; Control system synthesis; Fuzzy control; Fuzzy sets; Fuzzy systems; Lyapunov method; Stability; Symmetric matrices; Turning; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems, 2001. The 10th IEEE International Conference on
  • Conference_Location
    Melbourne, Vic.
  • Print_ISBN
    0-7803-7293-X
  • Type

    conf

  • DOI
    10.1109/FUZZ.2001.1008890
  • Filename
    1008890