• DocumentCode
    635978
  • Title

    Strict LMI approach to the robust stabilization of Takagi-Sugeno fuzzy descriptor systems

  • Author

    Bahloul, Mohamed ; El Hajjaji, A. ; Chaabane, Mohamed ; Souissi, M.

  • Author_Institution
    Nat. Eng. Sch. of Sfax, Sfax, Tunisia
  • fYear
    2013
  • fDate
    25-28 June 2013
  • Firstpage
    1502
  • Lastpage
    1506
  • Abstract
    This paper deals with the stability and stabilization problems of uncertain descriptor fuzzy systems described by Takagi-Sugeno (TS) fuzzy models. Sufficient conditions are developed to synthesize the feedback controller based on the so-called Parallel Distributed Compensation (PDC) for nominal and uncertain fuzzy descriptor systems. New design conditions are formulated on strict LMIs terms (Linear Matrix Inequalities) which can be solved easily using Matlab tools. A numerical example is provided to show the effectiveness of the proposed results.
  • Keywords
    fuzzy set theory; linear matrix inequalities; mathematics computing; stability; LMI approach; Matlab tools; PDC; Takagi-Sugeno fuzzy descriptor systems; linear matrix inequalities; parallel distributed compensation; robust stabilization; uncertain descriptor fuzzy systems; Bismuth; Closed loop systems; Numerical stability; Positron emission tomography; Robustness; Stability analysis; Symmetric matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control & Automation (MED), 2013 21st Mediterranean Conference on
  • Conference_Location
    Chania
  • Print_ISBN
    978-1-4799-0995-7
  • Type

    conf

  • DOI
    10.1109/MED.2013.6608920
  • Filename
    6608920