• DocumentCode
    897548
  • Title

    On Lyapunov control of the Duffing equation

  • Author

    Nijmeijer, Henk ; Berghuis, Harry

  • Author_Institution
    Dept. of Appl. Math., Twente Univ., Enschede, Netherlands
  • Volume
    42
  • Issue
    8
  • fYear
    1995
  • fDate
    8/1/1995 12:00:00 AM
  • Firstpage
    473
  • Lastpage
    477
  • Abstract
    We develop feedback control strategies for a chaotic dynamic system such as the Duffing equation. Our controllers are of the so-called Lyapunov-type and are inspired by robot manipulator feedback controls. The different controllers we propose include observer-based controllers that can cope with parametric uncertainties of the original system. Some simulation examples support the developed methods
  • Keywords
    Lyapunov methods; chaos; feedback; nonlinear control systems; nonlinear dynamical systems; observers; Duffing equation; Lyapunov control; chaotic dynamic system; feedback control strategies; observer-based controllers; parametric uncertainties; Chaos; Control systems; Design automation; Equations; Feedback control; Frequency estimation; Manipulators; Microwave circuits; Nonlinear systems; Robots;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.404059
  • Filename
    404059