• DocumentCode
    1490441
  • Title

    Dynamics of adaptive systems

  • Author

    Huberman, D.A. ; Lumer, E.

  • Author_Institution
    Xerox Palo Alto Res. Center, CA, USA
  • Volume
    37
  • Issue
    4
  • fYear
    1990
  • fDate
    4/1/1990 12:00:00 AM
  • Firstpage
    547
  • Lastpage
    550
  • Abstract
    A simple adaptive control mechanism is introduced into nonlinear systems that are capable of complicated oscillatory states and chaotic dynamics. It is shown that it provides efficient regulation while displaying novel behavior. Sudden perturbations in the system´s parameters can degenerate into chaotic bursts with no precursors. When such bursts occur, the system first reverberates wildly and then recovers in times that are inversely proportional to the stiffness of the control. Also exhibited is a general control principle which provides a quantitative relation between the maximum amplitude of a perturbation from which a system can recover, and the speed at which it does so
  • Keywords
    adaptive control; adaptive systems; feedback; nonlinear systems; adaptive control mechanism; chaotic dynamics; complicated oscillatory states; control stiffness; maximum amplitude; nonlinear systems; perturbation; regulation; system recovery; Adaptive control; Adaptive systems; Chaos; Collaboration; Context modeling; Control systems; Error correction; Output feedback; Predictive models; Proportional control;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/31.52759
  • Filename
    52759