• DocumentCode
    66420
  • Title

    Interval Observers for Time-Varying Discrete-Time Systems

  • Author

    Efimov, D. ; Perruquetti, W. ; Raissi, T. ; Zolghadri, Ali

  • Author_Institution
    INRIA-LNE, Villeneuve d´Ascq, France
  • Volume
    58
  • Issue
    12
  • fYear
    2013
  • fDate
    Dec. 2013
  • Firstpage
    3218
  • Lastpage
    3224
  • Abstract
    This techical note deals with interval state observer design for time-varying discrete-time systems. The problem of a similarity transformation computation which connects a (time-varying) matrix and its nonnegative representation is studied. Three solutions are proposed: for a generic time-varying system, a system with positive state, and for a particular class of periodical systems. Numerical simulations are provided to demonstrate advantages of the developed techniques.
  • Keywords
    control system synthesis; discrete time systems; matrix algebra; observers; periodic control; time-varying systems; discrete time system; interval state observer design; nonnegative representation; periodical system; similarity transformation computation; time-varying matrix; time-varying system; Discrete-time systems; Eigenvalues and eigenfunctions; Estimation error; Observers; Symmetric matrices; Time-varying systems; Vectors; Discrete-time systems; observers; state estimation,;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2013.2263936
  • Filename
    6517232