• DocumentCode
    2582090
  • Title

    Approximate computation of H2 norm for linear periodic systems based on integral equation method

  • Author

    Lampe, B.P. ; Rosenwasser, E.N. ; Chernyaev, M.G.

  • fYear
    2009
  • fDate
    18-23 May 2009
  • Firstpage
    922
  • Lastpage
    927
  • Abstract
    The paper considers the approximate computation of the H2 norm for linear systems with periodically varying parameters, based on applying the parametric transfer function concept, and the theory of Fredholm integral equations of the second kind. This approach allows to achieve approximate formulae for the H2 norm expressed by the transfer function coefficients of the stationary system part, and by the Fourier coefficients of the periodic gain. An example is provided.
  • Keywords
    Hinfin control; integral equations; linear systems; sampled data systems; time-varying systems; Fourier coefficients; Fredholm integral equation method; H2 norm; linear periodic systems; linear systems; parametric transfer function concept; sampled-data control; Control systems; Fourier series; Hydrogen; Integral equations; Linear systems; Polynomials; Process control; Stochastic processes; Transfer functions; White noise; Approximate formulae; Integral equations; Periodic process; Sampled-data control; Stochastic disturbances;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    EUROCON 2009, EUROCON '09. IEEE
  • Conference_Location
    St.-Petersburg
  • Print_ISBN
    978-1-4244-3860-0
  • Electronic_ISBN
    978-1-4244-3861-7
  • Type

    conf

  • DOI
    10.1109/EURCON.2009.5167744
  • Filename
    5167744
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2582090