• DocumentCode
    1452312
  • Title

    Digital redesign for controlling the chaotic Chua´s circuit

  • Author

    Xu, Jianxiong ; Chen, Guanrong ; Shieh, Leang S.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Houston Univ., TX, USA
  • Volume
    32
  • Issue
    4
  • fYear
    1996
  • fDate
    10/1/1996 12:00:00 AM
  • Firstpage
    1488
  • Lastpage
    1500
  • Abstract
    We apply some successful digital redesign techniques, developed previously for the control of linear system, to controlling the nonlinear chaotic Chua´s circuit. Chua´s circuit is a simple autonomous physical device that exhibits very rich and complex nonlinear dynamics of bifurcation and chaos, and is hence very sensitive to digital controls. To apply advanced high-speed computer technology to the implementation, we show how to redesign a good digital controller, based on an existing successful analog controller, for controlling the chaotic trajectories of Chua´s circuit, from anywhere within the chaotic attractor to a predesired unstable limit cycle of the circuit
  • Keywords
    Chua´s circuit; bifurcation; chaos; circuit stability; limit cycles; nonlinear network synthesis; autonomous physical device; bifurcation; chaos; chaotic Chua´s circuit; chaotic trajectories; digital redesign techniques; nonlinear dynamics; unstable limit cycle; Analog computers; Bifurcation; Chaos; Circuits; Control systems; Digital control; Limit-cycles; Linear systems; Nonlinear control systems; Nonlinear dynamical systems;
  • fLanguage
    English
  • Journal_Title
    Aerospace and Electronic Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9251
  • Type

    jour

  • DOI
    10.1109/7.543870
  • Filename
    543870