• DocumentCode
    3551167
  • Title

    A deterministic approach for general discrete-time Kalman filter for singular systems

  • Author

    Bianco, Aline F. ; Ishihara, João Y. ; Terra, Marco H.

  • Author_Institution
    Dept. of Electr. Eng., Sao Paulo Univ., Sao Carlos, Brazil
  • fYear
    2005
  • fDate
    8-10 June 2005
  • Firstpage
    4045
  • Abstract
    In this paper, the Kalman filter and the corresponding Riccati equation for discrete-time, time-variant descriptor systems are addressed in their most general formulation. A new "9-block" form for the optimal filter is derived using deterministic approach. This new expression, besides including one step delayed state, presents an interesting simple and symmetric structure. Stability results for this filter are also presented.
  • Keywords
    Kalman filters; Riccati equations; discrete time filters; stability; state estimation; 9-block form; Kalman filtering; Riccati equation; deterministic approach; discrete-time Kalman filter; general formulation; one step delayed state; optimal filter; singular systems; stability; state estimation; symmetric structure; time-variant descriptor systems; Control system synthesis; Delay; Filtering; Kalman filters; Recursive estimation; Riccati equations; Robots; Robustness; Stability; State estimation;
  • 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.2005.1470610
  • Filename
    1470610