• DocumentCode
    1456997
  • Title

    Linear functional observers for systems with delays in state variables

  • Author

    Darouach, M.

  • Author_Institution
    CRAN, IUT de Longwy, France
  • Volume
    46
  • Issue
    3
  • fYear
    2001
  • fDate
    3/1/2001 12:00:00 AM
  • Firstpage
    491
  • Lastpage
    496
  • Abstract
    This paper is concerned with the design of linear functional state observers for systems with delays in state variables. In particular, the necessary and sufficient conditions for the existence of the rth-order observers are given. Sufficient conditions for the stability dependent of delays and stability independent of delays are derived using linear matrix-in-equality formulation. A systematic design method of these observers is presented. Numerical examples are given to illustrate this method
  • Keywords
    delay-differential systems; delays; linear systems; matrix algebra; observers; stability; delays; existence conditions; linear differential-delay system; linear functional state observers; linear matrix-in-equality; necessary and sufficient conditions; observers without internal delays; rth-order observers; stability; state variables; Control systems; Delay effects; Delay systems; Design methodology; Observers; Stability; State estimation; Sufficient conditions; Systems engineering and theory; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.911430
  • Filename
    911430