• DocumentCode
    3140272
  • Title

    Stability of limit cycles in hybrid systems

  • Author

    Hiskens, Ian A.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
  • fYear
    2001
  • fDate
    6-6 Jan. 2001
  • Abstract
    Limit cycles are common in hybrid systems. However the nonsmooth dynamics of such systems makes stability analysis difficult. This paper uses recent extensions of trajectory sensitivity analysis to obtain the characteristic multipliers of nonsmooth limit cycles. The stability of a limit cycle is determined by its characteristic multipliers. The concepts are illustrated using a coupled tank system with on/off valve switching.
  • Keywords
    limit cycles; sensitivity analysis; stability; characteristic multipliers; coupled tank system; hybrid systems; limit cycles; nonsmooth dynamics; on/off valve switching; stability; stability analysis; trajectory sensitivity analysis; Differential algebraic equations; Eigenvalues and eigenfunctions; Hybrid power systems; Limit-cycles; Power system control; Power system dynamics; Power systems; Robots; Sensitivity analysis; Stability analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    System Sciences, 2001. Proceedings of the 34th Annual Hawaii International Conference on
  • Conference_Location
    Maui, HI, USA
  • Print_ISBN
    0-7695-0981-9
  • Type

    conf

  • DOI
    10.1109/HICSS.2001.926280
  • Filename
    926280
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3140272