• DocumentCode
    23885
  • Title

    Stable Interval Observers in BBC for Linear Systems With Time-Varying Input Bounds

  • Author

    Combastel, Christophe

  • Author_Institution
    ECS-Lab., ENSEA, Cergy-Pontoise, France
  • Volume
    58
  • Issue
    2
  • fYear
    2013
  • fDate
    Feb. 2013
  • Firstpage
    481
  • Lastpage
    487
  • Abstract
    This technical note deals with the design of stable interval observers and estimators for continuous-time linear dynamic systems under uncertain initial states and uncertain inputs enclosed within time-varying zonotopic bounds. No monotony assumption such as cooperativity is required in the vector field: the interval observer stability directly derives from the stability of the observer state matrix, where any poles (real or complex, single or multiple) are handled in the same way.
  • Keywords
    continuous time systems; control system synthesis; linear systems; observers; stability; time-varying systems; continuous-time linear dynamic systems; interval observer stability; linear systems; observer state matrix; time-varying input bounds; time-varying zonotopic bounds; uncertain initial states; uncertain inputs; Eigenvalues and eigenfunctions; Matrix decomposition; Observers; Stability criteria; Time varying systems; Uncertainty; Vectors; Error estimation; fault diagnosis; intervals; observers; robustness; stability; state estimation; verification;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2012.2208291
  • Filename
    6237495