• DocumentCode
    188705
  • Title

    Poles residues descent algorithm for optimal frequency-limited ℋ2 model approximation

  • Author

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

  • Author_Institution
    Univ. de Toulouse, Toulouse, France
  • fYear
    2014
  • fDate
    24-27 June 2014
  • Firstpage
    1080
  • Lastpage
    1085
  • Abstract
    Model approximation of multiple-inputs/multiple-outputs (MIMO) linear dynamical systems over a bounded frequency range can be expressed as an optimization problem in terms of the frequency-limited ℋ2-norm. In this paper, a new formulation of the frequency-limited ℋ2 model approximation error is presented and its gradient derived. It is then used in a descent algorithm which does not require to solve any Lyapunov equations but one eigenvalue problem for the full-order model. The efficiency of the method is illustrated through numerical benchmarks.
  • Keywords
    H2 control; Lyapunov methods; approximation theory; eigenvalues and eigenfunctions; optimal control; poles and zeros; Lyapunov equations; eigenvalue problem; full-order model; optimal frequency-limited H2 model approximation error; poles residues descent algorithm; Approximation algorithms; Approximation error; Eigenvalues and eigenfunctions; Mathematical model; Optimization; Reduced order systems;
  • 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.2014.6862152
  • Filename
    6862152
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=188705