• DocumentCode
    862554
  • Title

    The iISS Property for Globally Asymptotically Stable and Passive Nonlinear Systems

  • Author

    Wang, Chen ; Weiss, George

  • Author_Institution
    Dept. of Electr. & Electron. Eng., Imperial Coll. London, London
  • Volume
    53
  • Issue
    8
  • fYear
    2008
  • Firstpage
    1947
  • Lastpage
    1951
  • Abstract
    This paper investigates the integral input-to-state stability (iISS) property for passive nonlinear systems. We show that under mild technical assumptions, a passive nonlinear system which is globally asymptotically stable is also iISS. Moreover, the integral term from the definition of the iISS property has a very simple form (like an L 1 norm). We illustrate the result by proving that the drive-train of a wind turbine with quadratic torque control is iISS.
  • Keywords
    asymptotic stability; nonlinear control systems; power generation control; torque control; wind turbines; globally asymptotically stable; iISS property; input-to-state stability property; passive nonlinear systems; quadratic torque control; wind turbine; Asymptotic stability; Control theory; Lyapunov method; Nonlinear systems; Power engineering and energy; Terminology; Torque control; Wind turbines; Globally asymptotically stable; integral input-to-state stability (iISS); wind turbine;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2008.929465
  • Filename
    4625223
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=862554