• DocumentCode
    1377893
  • Title

    On the optimal unbiased functional filtering

  • Author

    Darouach, Mohamed

  • Author_Institution
    CRAN
  • Volume
    45
  • Issue
    7
  • fYear
    2000
  • fDate
    7/1/2000 12:00:00 AM
  • Firstpage
    1374
  • Lastpage
    1379
  • Abstract
    Presents a simple solution to the optimal unbiased reduced-order (or functional) filtering problem for linear time-varying systems. Necessary and sufficient conditions for the existence of the obtained filter are given. Stability and convergence conditions are developed for the time-invariant systems. Both continuous- and discrete-time cases are considered
  • Keywords
    Riccati equations; continuous time systems; convergence; discrete time systems; filtering theory; linear systems; reduced order systems; stability; state estimation; time-varying systems; convergence conditions; linear time-varying systems; necessary and sufficient conditions; optimal unbiased functional filtering; reduced-order filtering; time-invariant systems; Fault diagnosis; Filtering theory; Noise measurement; Nonlinear filters; Optimal control; Riccati equations; Stability; State estimation; Sufficient conditions; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.867052
  • Filename
    867052