• DocumentCode
    3551295
  • Title

    A perturbation approach to the H2 analysis of spatially periodic systems

  • Author

    Fardad, Makan ; Bamieh, Bassam

  • Author_Institution
    Dept. of Mech. & Environ. Eng., California Univ., Santa Barbara, CA, USA
  • fYear
    2005
  • fDate
    8-10 June 2005
  • Firstpage
    4838
  • Abstract
    We consider a class of spatially distributed systems with spatially periodic coefficients. Frequency domain methods are used to convert a linear system belonging to this class into a family of infinite-dimensional LTI ones. The frequency and amplitude of the periodic coefficients are then treated as parameters. A perturbation analysis is then performed on the amplitude of the periodicity to find a computationally efficient method of calculating the H2 -norm. The dependence of the H2-norm on the amplitude and frequency of the periodic coefficients is demonstrated.
  • Keywords
    H∞ control; frequency-domain analysis; linear systems; periodic control; perturbation techniques; H2 analysis; frequency domain methods; infinite-dimensional LTI; linear system; perturbation analysis; spatially distributed systems; spatially periodic systems; Fourier transforms; Frequency domain analysis; Frequency response; Kernel; Linear systems; Matrix converters; Performance analysis; Resonance; Visualization;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2005. Proceedings of the 2005
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-9098-9
  • Electronic_ISBN
    0743-1619
  • Type

    conf

  • DOI
    10.1109/ACC.2005.1470761
  • Filename
    1470761
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3551295