• DocumentCode
    188718
  • Title

    Spectral expression for the frequency-limited ℋ2-norm of LTI dynamical systems with high order poles

  • Author

    Vuillemin, P. ; Poussot-Vassal, C. ; Alazard, D.

  • Author_Institution
    Univ. de Toulouse, Toulouse, France
  • fYear
    2014
  • fDate
    24-27 June 2014
  • Firstpage
    55
  • Lastpage
    60
  • Abstract
    In this paper, the spectral expression of the frequency-limited ℋ2-norm, firstly presented in [18], is extended to the case of LTI dynamical systems which are not diagonalizable. This extension is achieved by considering partial fraction decomposition of the transfer function associated to a system which is in a Jordan form. Besides, examples are presented to illustrate the behaviour of the frequency-limited ℋ2-norm and to compare it with the commonly used frequency-weighted ℋ2-norm.
  • Keywords
    H2 control; linear systems; poles and zeros; transfer functions; Jordan form; LTI dynamical systems; frequency-limited H2-norm; frequency-weighted H2-norm; high order poles; partial fraction decomposition; spectral expression; transfer function; Approximation methods; Atmospheric modeling; Computational modeling; Frequency response; Gain; MIMO; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2014 European
  • Conference_Location
    Strasbourg
  • Print_ISBN
    978-3-9524269-1-3
  • Type

    conf

  • DOI
    10.1109/ECC.2014.6862158
  • Filename
    6862158
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=188718