• DocumentCode
    2257458
  • Title

    Limit cycles with chattering in relay feedback systems

  • Author

    Johansson, Karl H. ; Baranov, Alexander ; Astrom, K.J.

  • Author_Institution
    Dept. of Autom. Control, Lund Inst. of Technol.
  • Volume
    4
  • fYear
    1997
  • fDate
    10-12 Dec 1997
  • Firstpage
    3220
  • Abstract
    Several interesting behaviors occur in relay feedback systems. One of them is a limit cycle where part of the limit cycle consists of fast relay switches. This chattering is analyzed in detail, and conditions for approximating it by a sliding mode are derived. The stability conditions are proved for limit cycles with regular sliding modes as well as with chattering. Simulated examples illustrate these new results
  • Keywords
    feedback; limit cycles; nonlinear control systems; relay control; stability; state-space methods; variable structure systems; chattering; limit cycle; nonlinear systems; relay control; relay feedback systems; sliding mode; stability; state space; Automatic control; Control systems; Digital relays; Feedback; Limit-cycles; Linear systems; Nonlinear control systems; Sliding mode control; Stability; Switches;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
  • Conference_Location
    San Diego, CA
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-4187-2
  • Type

    conf

  • DOI
    10.1109/CDC.1997.652339
  • Filename
    652339