• DocumentCode
    3550980
  • Title

    On The Design of a reduced order H∞ filter for systems with unknown delay

  • Author

    Alif, A. ; Darouach, M. ; Boutayeb, M.

  • Author_Institution
    Henri Poincare Univ., Nancy, France
  • fYear
    2005
  • fDate
    8-10 June 2005
  • Firstpage
    2901
  • Abstract
    In this note we investigate the filtering problem for linear time-delay systems. Unlike most of the existing results, we consider systems with an unknown and constant delay. From the Razumikhin stability theorem and some judicious mathematical manipulations, a reduced order H∞ filter able to ensure the asymptotic stability and the pro-specified H∞ performances of the filtering process is designed. Also the maximal allowable delay preserving the asymptotic stability is given. A numerical example is provided to show the effectiveness of the proposed technique.
  • Keywords
    H∞ control; asymptotic stability; control system synthesis; delays; filtering theory; reduced order systems; Razumikhin stability theorem; asymptotic stability; filtering process; linear time-delay systems; reduced order H∞ filter; unknown delay; Asymptotic stability; Delay effects; Delay systems; Estimation error; Filtering; Linear matrix inequalities; Nonlinear filters; Process design; Robustness; Sufficient conditions;
  • 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.2005.1470411
  • Filename
    1470411
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3550980