• DocumentCode
    2180143
  • Title

    New results on the feedback control of Duffing´s equation

  • Author

    Jiang, Zhong-Ping

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Polytech. Univ., Brooklyn, NY, USA
  • Volume
    1
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    704
  • Abstract
    This paper deals with the chaotic Duffing equation with external control force. It is shown that Lyapunov´s direct method in conjunction with recent developments in nonlinear control yields a promising way of engineering chaotic dynamics. Among the three types of feedback controllers introduced in the paper, we particularly emphasize the value of linear feedback strategy in controlling chaos. For the forced Duffing equation, it is shown that linear feedback control laws are inherently robust to (even large) sensor errors
  • Keywords
    Lyapunov methods; chaos; feedback; linear systems; nonlinear control systems; robust control; Lyapunov direct method; chaotic Duffing equation; chaotic dynamics; external control force; forced Duffing equation; linear feedback control laws; nonlinear control; robust control; Adaptive control; Chaos; Chaotic communication; Control systems; Feedback control; Force control; Linear feedback control systems; Nonlinear equations; Robust control; Trajectory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
  • Conference_Location
    Orlando, FL
  • Print_ISBN
    0-7803-7061-9
  • Type

    conf

  • DOI
    10.1109/.2001.980188
  • Filename
    980188