• DocumentCode
    1326898
  • Title

    Real-time, adaptive, model-independent control of low-dimensional chaotic and nonchaotic dynamical systems

  • Author

    Christini, David J. ; Collins, James J.

  • Author_Institution
    Dept. of Biomed. Eng., Boston Univ., MA, USA
  • Volume
    44
  • Issue
    10
  • fYear
    1997
  • fDate
    10/1/1997 12:00:00 AM
  • Firstpage
    1027
  • Lastpage
    1030
  • Abstract
    Current model-independent control techniques are limited, from a practical standpoint, by their dependence on a precontrol learning stage. Here we develop a model-independent control technique, for chaotic and nonchaotic low-dimensional dynamical systems, that operates in real-time (i.e., it does not require a learning stage). We show that this technique is adaptive to system nonstationarities, robust to noise, and capable of stabilizing higher-order unstable periodic orbits. Because this technique is real-time, adaptive, and model-independent, it is practical for real-world systems
  • Keywords
    adaptive control; chaos; nonlinear control systems; nonlinear dynamical systems; real-time systems; chaotic system; low-dimensional dynamical system; noise robustness; nonchaotic system; real-time adaptive model-independent control; system nonstationarity; unstable periodic orbit; Adaptive control; Adaptive systems; Chaos; Control system synthesis; Control systems; Noise robustness; Nonlinear equations; Orbits; Programmable control; Real time systems;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.633896
  • Filename
    633896