• DocumentCode
    2471579
  • Title

    A quadratic stability result for singular switched systems with application to anti-windup control

  • Author

    Shorten, R. ; Corless, M. ; Middleton, R. ; Klinge, S. ; Wulff, K.

  • Author_Institution
    Hamilton Inst., NUI Maynooth, Maynooth, Ireland
  • fYear
    2009
  • fDate
    10-12 June 2009
  • Firstpage
    1917
  • Lastpage
    1922
  • Abstract
    In this note we consider the problem of determining necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a pair of stable linear time-invariant systems whose system matrices are of the form A, A-ghT, and where one of the matrices is singular. We then apply this result in a study of a feedback system with a saturating actuator.
  • Keywords
    Lyapunov matrix equations; feedback; linear systems; stability; time-varying systems; antiwindup control; common quadratic Lyapunov function; feedback system; quadratic stability; singular switched systems; stable linear time-invariant systems; system matrices; Control systems; Eigenvalues and eigenfunctions; Linear matrix inequalities; Lyapunov method; Stability; Sufficient conditions; Switched systems; Switching systems; Symmetric matrices; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2009. ACC '09.
  • Conference_Location
    St. Louis, MO
  • ISSN
    0743-1619
  • Print_ISBN
    978-1-4244-4523-3
  • Electronic_ISBN
    0743-1619
  • Type

    conf

  • DOI
    10.1109/ACC.2009.5160413
  • Filename
    5160413
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2471579