• DocumentCode
    1368882
  • Title

    Closed-form solution for the Kalman filter gains of time-varying systems

  • Author

    Rusnak, Ilan

  • Author_Institution
    Haifa, Israel
  • Volume
    34
  • Issue
    2
  • fYear
    1998
  • fDate
    4/1/1998 12:00:00 AM
  • Firstpage
    635
  • Lastpage
    638
  • Abstract
    A method for derivation of closed-form solutions for the differential Riccati matrix equation for specific time-varying systems is presented. It allows more insight into the nature of the solution. It reduces the on-line computation requirements, since it does not require on-line solution of a differential equation. Sufficient conditions for the existence of the closed-form solution are given. The method is applied to a target tracking problem
  • Keywords
    Kalman filters; computational complexity; differential equations; estimation theory; matrix algebra; target tracking; time-varying systems; Kalman filter gains; closed-form solution; differential equation; online; sufficient conditions; target tracking; time-varying systems; Closed-form solution; Differential algebraic equations; Differential equations; Optimal control; Riccati equations; Steady-state; Stochastic processes; Sufficient conditions; Target tracking; Time varying systems;
  • fLanguage
    English
  • Journal_Title
    Aerospace and Electronic Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9251
  • Type

    jour

  • DOI
    10.1109/7.670344
  • Filename
    670344