• DocumentCode
    701080
  • Title

    Computing H∞-norm of discrete-time periodic systems — A quadratically convergent algorithm

  • Author

    Sreedhar, J. ; Van Dooren, Paul ; Bamieh, Bassam

  • Author_Institution
    Dept. of Electr. Comput. Eng., Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA
  • fYear
    1997
  • fDate
    1-7 July 1997
  • Firstpage
    3817
  • Lastpage
    3822
  • Abstract
    We study the l2-induced norm, or H∞-norm, of discrete-time periodically time varying (PTV) systems and propose a quadratically convergent algorithm to compute it. Our method involves numerically stable computations (periodic Schur decomposition) and works even for the descriptor case. This work has connections to stability radii problems. Among other things, we clarify the relationship between various TI representations of a PTV system.
  • Keywords
    H∞ control; discrete time systems; periodic control; stability; time-varying systems; H∞-norm; PTV system; TI representations; discrete-time periodically time varying systems; l2-induced norm; numerically stable computations; periodic Schur decomposition; quadratically convergent algorithm; stability radii problems; Electronic mail; Facsimile; Linear systems; Manganese; Standards; Time-varying systems; Transfer functions; Discrete time; Linear systems; Numerical methods;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 1997 European
  • Conference_Location
    Brussels
  • Print_ISBN
    978-3-9524269-0-6
  • Type

    conf

  • Filename
    7082712
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=701080