• DocumentCode
    2642469
  • Title

    Positive real Parrott theorem with application to LMI controller synthesis

  • Author

    Ly, J.H. ; Safonov, M.G. ; Ahmad, F.

  • Author_Institution
    Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA, USA
  • Volume
    1
  • fYear
    1994
  • fDate
    29 June-1 July 1994
  • Firstpage
    50
  • Abstract
    The generalized Finsler´s theorem is shown to be equivalent to a positive real version of Parrott´s theorem by the bilinear sector transformation. The result established using Parrott´s theorem directly leads to a parameterisation of all solutions.
  • Keywords
    control system synthesis; matrix algebra; minimisation; LMI controller synthesis; bilinear sector transformation; generalized Finsler´s theorem; positive real Parrott theorem; Bismuth; Discrete transforms; Eigenvalues and eigenfunctions; Equations; H infinity control; Linear matrix inequalities; Robust control; Scheduling; Sufficient conditions; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 1994
  • Print_ISBN
    0-7803-1783-1
  • Type

    conf

  • DOI
    10.1109/ACC.1994.751691
  • Filename
    751691