• DocumentCode
    2113497
  • Title

    Performance robustness bounds for linear systems to guarantee root-clustering in second order subregions of the complex plane

  • Author

    Bakker, W. ; Luo, J.S. ; Johnson, A.

  • Author_Institution
    Kramers Lab., Delft Univ. of Technol., Netherlands
  • fYear
    1993
  • fDate
    15-17 Dec 1993
  • Firstpage
    3467
  • Abstract
    Sufficient bounds for structured and unstructured uncertainties for root-clustering in some specified second order subregions of the complex plane, for both continuous and discrete-time systems, are given using the generalized Lyapunov theory. Furthermore, for unstructured uncertainties a still less conservative result is obtained by shifting the subregion and the system matrix horizontally in the complex plane
  • Keywords
    Lyapunov methods; root loci; stability criteria; continuous systems; discrete-time systems; generalized Lyapunov theory; guaranteed root-clustering; horizontal shifting; linear systems; performance robustness bounds; second order complex plane subregions; structured uncertainties; subregion shifting; system matrix shifting; unstructured uncertainties; Continuous time systems; Eigenvalues and eigenfunctions; Laboratories; Linear matrix inequalities; Linear systems; Robust stability; Robustness; Symmetric matrices; Uncertain systems; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
  • Conference_Location
    San Antonio, TX
  • Print_ISBN
    0-7803-1298-8
  • Type

    conf

  • DOI
    10.1109/CDC.1993.325860
  • Filename
    325860