• DocumentCode
    1151742
  • Title

    Switching-Driving Lyapunov Function and the Stabilization of the Ball-and-Plate System

  • Author

    Casagrande, Daniele ; Astolfi, Alessandro ; Parisini, Thomas

  • Author_Institution
    Dipt. di Ing. Elettr., Gestionale e Meccanica, Univ. degli Studi di Udine, Udine, Italy
  • Volume
    54
  • Issue
    8
  • fYear
    2009
  • Firstpage
    1881
  • Lastpage
    1886
  • Abstract
    This note introduces the notion of switching-driving Lyapunov function which can be used to provide a sufficient stabilizability condition for general nonlinear systems. The theory is illustrated by means of the ldquoball-and-platerdquo system, for which locally stabilizing control laws are explicitly derived.
  • Keywords
    Lyapunov methods; nonlinear control systems; time-varying systems; ball-and-plate system stabilization; nonlinear systems; switching-driving Lyapunov function; Automata; Control systems; Feedback control; Lyapunov method; Mechanical systems; Nonlinear control systems; Nonlinear systems; Stability; Switched systems; Ball-and-plate system;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2009.2020670
  • Filename
    5175316