• DocumentCode
    3440587
  • Title

    Stability and stabilization of positive Takagi-Sugeno fuzzy continuous systems with delay

  • Author

    Benzaouia, Abdellah ; Oubah, Rkia ; El Hajjaji, Ahmed ; Tadeo, Fernando

  • Author_Institution
    LAEPT URAC 28, Univ. Cadi Ayyad, Marrakech, Morocco
  • fYear
    2011
  • fDate
    12-15 Dec. 2011
  • Firstpage
    8279
  • Lastpage
    8284
  • Abstract
    This paper deals with the problem of stability and stabilization of Takagi-Sugeno (T-S) fuzzy systems with a fixed delay by linear programming (LP) while imposing positivity in closed-loop. The stabilization conditions are derived using the single Lyapunov-Krasovskii Functional (LKF). An example of a real plant is studied to show the advantages of the design procedure.
  • Keywords
    closed loop systems; delays; fuzzy set theory; linear programming; stability; LKF; LP; Lyapunov-Krasovskii functional; T-S fuzzy systems; closed-loop positivity; linear programming; positive Takagi-Sugeno fuzzy continuous systems; time delays; Asymptotic stability; Bismuth; Delay; Fuzzy systems; Linear programming; Stability analysis; Vectors; Linear programming; Lyapunov-Krasovskii functional; T-S fuzzy systems; positive systems; stabilization;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
  • Conference_Location
    Orlando, FL
  • ISSN
    0743-1546
  • Print_ISBN
    978-1-61284-800-6
  • Electronic_ISBN
    0743-1546
  • Type

    conf

  • DOI
    10.1109/CDC.2011.6161173
  • Filename
    6161173