• DocumentCode
    3351927
  • Title

    ℋ2-norm of a class of fractional transfer functions suited for modeling diffusive phenomena

  • Author

    Chevrie, Mathieu ; Sabatier, Jocelyn ; Farges, Christophe ; Malti, Rachid

  • Author_Institution
    Bordeaux Univ., Talence, France
  • fYear
    2015
  • fDate
    1-3 July 2015
  • Firstpage
    2199
  • Lastpage
    2204
  • Abstract
    This paper focuses on the ℋ2-norm of a class of implicit fractional order transfer functions well suited to describe input-output behaviour of diffusive systems. First, analytical expression of the ℋ2-norm of this kind of transfer function is established. This result is then used to evaluate the quality of an integer order approximation of such an implicit fractional transfer function.
  • Keywords
    H2 control; approximation theory; transfer functions; ℋ2-norm; diffusive system modelling; fractional order transfer function; input-output behaviour; integer order approximation; Approximation methods; Computational modeling; Fractional calculus; Frequency-domain analysis; Numerical models; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference (ACC), 2015
  • Conference_Location
    Chicago, IL
  • Print_ISBN
    978-1-4799-8685-9
  • Type

    conf

  • DOI
    10.1109/ACC.2015.7171059
  • Filename
    7171059
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3351927