• DocumentCode
    2173288
  • Title

    Reachability-based approach for ℒ2 gain approximation of polynomial systems

  • Author

    Siahaan, Hardy B. ; Aamo, Ole M. ; Foss, Bjarne A.

  • Author_Institution
    Dept. of Eng. Cybern., Norwegian Univ. of Sci. & Technol. (NTNU), Trondheim, Norway
  • fYear
    2007
  • fDate
    2-5 July 2007
  • Firstpage
    1119
  • Lastpage
    1125
  • Abstract
    This paper considers a computational mechanism to approximate a class of polynomial systems with a reduced order model. The approach is based on estimate of the reachability set and a finite gain ℒ2 stability condition. The approach benefits from the use of sum of squares programming where the computation is rendered tractable.
  • Keywords
    controllability; nonlinear control systems; observability; polynomial approximation; reachability analysis; stability; ℒ2 gain approximation; computational mechanism; controllability function; finite gain ℒ2 stability condition; nonlinear systems; observability function; polynomial systems; reachability based approach; reachability set estimation; reduced order model; sum of squares programming; Couplings; Linear systems; Nonlinear systems; Polynomials; Programming; Reduced order systems; Symmetric matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2007 European
  • Conference_Location
    Kos
  • Print_ISBN
    978-3-9524173-8-6
  • Type

    conf

  • Filename
    7069006
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2173288