• DocumentCode
    3173381
  • Title

    Simultaneous stabilization of a segment of systems by a parameterized compensator

  • Author

    Meddeb, Houda ; Fonte, Christophe ; Zasadzinski, Michel

  • Author_Institution
    CRAN, Univ. de Lorraine, Cosnes et Romain, France
  • fYear
    2013
  • fDate
    25-28 June 2013
  • Firstpage
    1076
  • Lastpage
    1081
  • Abstract
    In this paper, a particular parametrization of controllers is used to study the simultaneous stabilization of a segment of systems. A necessary and sufficient condition for simultaneously stabilizing this segment is produced. The given condition is converted into an optimization problem with one bilinear matrix inequality (BMI) constraint. Finally, an algorithm for computation of stabilizing controllers is proposed with an illustrative example.
  • Keywords
    bilinear systems; compensation; matrix algebra; stability; BMI constraint; bilinear matrix inequality; controller parametrization; necessary and sufficient condition; parameterized compensator; segment of system; simultaneous stabilization; Linear matrix inequalities; Nickel; Optimization; Polynomials; Vectors; Xenon; Simultaneous stabilization; bilinear matrix inequality (BMI); segment of systems;
  • 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.2013.6608854
  • Filename
    6608854