• DocumentCode
    3318203
  • Title

    LMI Stability Conditions for Takagi-Sugeno Uncertain Descriptors

  • Author

    Bouarar, T. ; Guelton, K. ; Mansouri, B. ; Manamanni, N.

  • Author_Institution
    CReSTIC-URCA, Reims
  • fYear
    2007
  • fDate
    23-26 July 2007
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    In this paper, stability conditions for a wide class of Takagi-Sugeno uncertain descriptors are proposed. These are based on a quadratic Lyapunov candidate function. In order to solve the stability conditions with classical convex optimization algorithms, matrices transformations have been used to write these conditions in term of linear matrix inequality (LMI). A designed example illustrates the efficiency of the proposed approach.
  • Keywords
    Lyapunov methods; convex programming; fuzzy control; linear matrix inequalities; quadratic programming; stability; LMI stability; Takagi-Sugeno uncertain descriptor; convex optimization; fuzzy control; linear matrix inequality; quadratic Lyapunov candidate function; Context modeling; Fuzzy systems; Linear matrix inequalities; Mechanical systems; Nonlinear control systems; Stability; State-space methods; Symmetric matrices; Systems engineering and theory; Takagi-Sugeno model;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems Conference, 2007. FUZZ-IEEE 2007. IEEE International
  • Conference_Location
    London
  • ISSN
    1098-7584
  • Print_ISBN
    1-4244-1209-9
  • Electronic_ISBN
    1098-7584
  • Type

    conf

  • DOI
    10.1109/FUZZY.2007.4295531
  • Filename
    4295531