• DocumentCode
    11822
  • Title

    Self-Excited Limit Cycles in an Integral-Controlled System With Backlash

  • Author

    Esbrook, Alex ; Xiaobo Tan ; Khalil, Hassan K.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Michigan State Univ., East Lansing, MI, USA
  • Volume
    59
  • Issue
    4
  • fYear
    2014
  • fDate
    Apr-14
  • Firstpage
    1020
  • Lastpage
    1025
  • Abstract
    In this technical note, we study the properties of self-excited limit cycles in an integral-controlled system containing a play operator. A Newton-Raphson algorithm is formulated to calculate the limit cycles, and we prove that the amplitude and period of these limit cycles have linear relationships to system parameters. These results are confirmed in simulation, where we demonstrate the ability to predict the properties of the limit cycles.
  • Keywords
    Newton-Raphson method; closed loop systems; limit cycles; Newton-Raphson algorithm; backlash; integral-controlled system; linear relationships; play operator; self-excited limit cycles; system parameter; Computational modeling; Equations; Hysteresis; Limit-cycles; Mathematical model; Oscillators; Switches; Backlash; closed-loop analysis; hysteresis; limit cycles;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2013.2281859
  • Filename
    6601018
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=11822