• DocumentCode
    645914
  • Title

    An Iterative Eigenvector Tangential Interpolation Algorithm for large-scale LTI and a class of LPV model approximation

  • Author

    Poussot-Vassal, C. ; Vuillemin, P.

  • Author_Institution
    Onera - The French Aerosp. Lab., Toulouse, France
  • fYear
    2013
  • fDate
    17-19 July 2013
  • Firstpage
    4490
  • Lastpage
    4495
  • Abstract
    In this paper, a new Iterative Eigenvector Tangential Interpolation Algorithm (IETIA) is proposed to approximate large-scale LTI models, allowing to achieve ℌ2 optimality-like conditions while preserving some user-defined eigenvalues. The proposed algorithm is also shown to be applicable to a certain class of LPV models. Numerical applications on standard model reduction benchmarks assess the effectiveness of the approach.
  • Keywords
    approximation theory; eigenvalues and eigenfunctions; iterative methods; linear systems; nonlinear control systems; ℌ2 optimality-like conditions; IETIA; LPV model approximation; approximate large-scale LTI models; iterative eigenvector tangential interpolation algorithm; model reduction benchmarks; numerical applications; user-defined eigenvalues; Approximation algorithms; Eigenvalues and eigenfunctions; Interpolation; MIMO; Mathematical model; Reduced order systems; Model reduction; eigenvectors; large-scale linear dynamical systems; linear parameter varying;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2013 European
  • Conference_Location
    Zurich
  • Type

    conf

  • Filename
    6669110
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=645914