• DocumentCode
    1711291
  • Title

    Frequency weighted H2 and Hilbert-Schmidt-Hankel model reduction

  • Author

    Schelfhout, Geert ; Moor, Bart De

  • Author_Institution
    Katholieke Univ., Leuven, Belgium
  • Volume
    4
  • fYear
    1994
  • Firstpage
    3215
  • Abstract
    Considers the problem of approximating a discrete time SISO system of order n by one of order at most r (r<n), minimizing the frequency weighted H2 and Hilbert-Schmidt-Hankel norms of the modeling error. Using Lagrange multipliers, the authors derive a set of necessary conditions, which are solved iteratively in a way inspired by the inverse power iteration algorithm for singular value decomposition
  • Keywords
    discrete time systems; reduced order systems; Hilbert-Schmidt-Hankel model reduction; Lagrange multipliers; discrete time SISO system; frequency weighted H2 model reduction; inverse power iteration algorithm; modeling error; singular value decomposition; Equations; Frequency; Iterative algorithms; Lagrangian functions; Power system modeling; Reduced order systems; Singular value decomposition; Time domain analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
  • Conference_Location
    Lake Buena Vista, FL
  • Print_ISBN
    0-7803-1968-0
  • Type

    conf

  • DOI
    10.1109/CDC.1994.411634
  • Filename
    411634
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1711291