• DocumentCode
    3223213
  • Title

    L2 and L2-L∞ model reduction via linear matrix inequalities

  • Author

    Grigorindis, K.M. ; Lu, J. ; Skelton, R.E.

  • Author_Institution
    Dept. of Mech. Eng., Houston Univ., TX, USA
  • Volume
    4
  • fYear
    1996
  • fDate
    11-13 Dec 1996
  • Firstpage
    4282
  • Abstract
    Necessary and sufficient conditions are derived for the existence of a solution to the continuous-time and discrete-time suboptimal L2 and L2-L∞ model reduction problems. These conditions are expressed in terms of linear matrix inequalities (LMIs) and a coupling non-convex rank constraint set. In addition, explicit parametrizations of all reduced-order models that correspond to a feasible solution are presented in terms of contractive matrices
  • Keywords
    continuous time systems; discrete time systems; matrix algebra; reduced order systems; state-space methods; L2 model reduction; L2-L∞ model reduction; continuous-time model reduction; contractive matrices; coupling nonconvex rank constraint set; discrete-time suboptimal model reduction; explicit parametrizations; linear matrix inequalities; necessary and sufficient conditions; reduced-order models; Linear matrix inequalities; Matrices; Reduced order systems; State-space methods; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
  • Conference_Location
    Kobe
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-3590-2
  • Type

    conf

  • DOI
    10.1109/CDC.1996.577461
  • Filename
    577461
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3223213