• DocumentCode
    3169714
  • Title

    Synthesis of Discrete-time Nonlinear Systems: A SOS Approach

  • Author

    Xu, Jun ; Xie, Lihua ; Wang, Youji

  • Author_Institution
    Nanyang Technol. Univ., Singapore
  • fYear
    2007
  • fDate
    9-13 July 2007
  • Firstpage
    4829
  • Lastpage
    4834
  • Abstract
    In this paper, we discuss the stabilization problem for a class of discrete-time nonlinear polynomial systems. By employing state-dependent polynomial Lyapunov functions, a solution based on the sums of squares (SOS) theory is proposed for state feedback stabilization with or without Hinfin performance. Sufficient solvability conditions are given which can be solved by the recently developed SOS solvers.
  • Keywords
    Lyapunov methods; control system synthesis; discrete time systems; nonlinear systems; polynomials; state feedback; discrete-time nonlinear systems; stabilization problem; state feedback stabilization; state-dependent polynomial Lyapunov functions; sums of squares theory; Control system synthesis; Control systems; Linear matrix inequalities; Lyapunov method; Nonlinear control systems; Nonlinear systems; Polynomials; Sliding mode control; Stability analysis; State feedback;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2007. ACC '07
  • Conference_Location
    New York, NY
  • ISSN
    0743-1619
  • Print_ISBN
    1-4244-0988-8
  • Electronic_ISBN
    0743-1619
  • Type

    conf

  • DOI
    10.1109/ACC.2007.4282768
  • Filename
    4282768
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3169714