• DocumentCode
    397785
  • Title

    An LMI approach to ℒ;2 gain analysis of uncertain switched systems

  • Author

    Xie, Dongmei ; Wang, Long

  • Author_Institution
    Dept. of Mech., Peking Univ., Beijing, China
  • Volume
    3
  • fYear
    2003
  • fDate
    5-8 Oct. 2003
  • Firstpage
    2278
  • Abstract
    This paper investigates the L;2 gain analysis of uncertain discrete-time switched systems under arbitrary switching by linear matrix inequality (LMI) approach together with switched Lyapunov function (SLF) method. The L;2 gain analysis is to characterize conditions under which an uncertain switched system is uniformly quadratically stable (UQS) with an L;2 gain smaller than a constant γ for all admissible uncertainties. All results in this paper are expressed in terms of LMIs, which can be easily tested with efficient LMI algorithms.
  • Keywords
    Lyapunov matrix equations; control system synthesis; discrete time systems; linear matrix inequalities; uncertain systems; ℒ:2 gain analysis; LMI; SLF; UQS; control system synthesis; linear matrix inequality; switched Lyapunov function; uncertain discrete time switched systems; uniformly quadratically stable; Bismuth; Control systems; Linear matrix inequalities; Lyapunov method; Power system modeling; Robust control; Robust stability; Switched systems; Switches; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Systems, Man and Cybernetics, 2003. IEEE International Conference on
  • ISSN
    1062-922X
  • Print_ISBN
    0-7803-7952-7
  • Type

    conf

  • DOI
    10.1109/ICSMC.2003.1244223
  • Filename
    1244223
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=397785