• DocumentCode
    798897
  • Title

    A nonlinear compensation technique for systems involving hysteresis

  • Author

    Sen, A.K. ; Johnson, R.A.

  • Author_Institution
    University of Manitoba, Winnipeg, Manitoba, Canada
  • Volume
    13
  • Issue
    6
  • fYear
    1968
  • fDate
    12/1/1968 12:00:00 AM
  • Firstpage
    711
  • Lastpage
    714
  • Abstract
    This paper presents a simple procedure using a non-linear compensator for eliminating limit cycles in control systems arising due to hysteresis in contactors or due to backlash. The method consists of 1) the insertion of an element of gain Ksgn(z) or K[sgn(z\´)+1]/2 , and 2) the switching of this element by simple processing of the input and output signals of the original nonlinearity. For a contactor, the technique effectively removes the hysteresis but does not alter the dead zone (which, it is pointed out in one instance, might be an advantage) or, of more importance, the bang-bang characteristic of the element. Furthermore, for the contactors, the compensation technique is found effective irrespective of the waveshape at the nonlinearity input and, therefore, is of some general consequence in design.
  • Keywords
    Hysteresis nonlinearities; Limit cycles; Nonlinear systems; Contactors; Control systems; Feedback; Hysteresis; Limit-cycles; Nonlinear control systems; Nonlinear equations; Signal processing; Stability; Time varying systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1968.1099037
  • Filename
    1099037