• DocumentCode
    3563571
  • Title

    An algorithm for identification in the ν-gap metric

  • Author

    Date, P. ; Vinnicombe, G.

  • Author_Institution
    Dept. of Eng., Cambridge Univ., UK
  • Volume
    4
  • fYear
    1999
  • fDate
    6/21/1905 12:00:00 AM
  • Firstpage
    3230
  • Abstract
    This paper suggests a method for identification in the ν-gap metric. For a finite number of frequency response samples, a problem for identification in the ν-gap metric is formulated and an approximate solution is described. It uses an iterative technique for obtaining an L2-gap approximation. Each stage of the iteration involves solving an LMI optimisation. Given a known stabilising controller and the L2-gap approximation, it is shown how to derive a ν-gap approximation
  • Keywords
    approximation theory; control system synthesis; frequency response; identification; iterative methods; matrix algebra; optimisation; stability; ℒ2-gap approximation; ν-gap approximation; ν-gap metric; LMI optimisation; approximate solution; frequency response samples; identification algorithm; iteration; iterative technique; stabilising controller; Control design; Frequency; Iterative algorithms; Poles and zeros; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-5250-5
  • Type

    conf

  • DOI
    10.1109/CDC.1999.827767
  • Filename
    827767