• DocumentCode
    1348572
  • Title

    A new method for the nonlinear transformation of means and covariances in filters and estimators

  • Author

    Julier, Simon ; Uhlmann, Jeffrey ; Durrant-Whyte, Hugh F.

  • Author_Institution
    IDAK Ind., Jefferson City, MO, USA
  • Volume
    45
  • Issue
    3
  • fYear
    2000
  • fDate
    3/1/2000 12:00:00 AM
  • Firstpage
    477
  • Lastpage
    482
  • Abstract
    This paper describes a new approach for generalizing the Kalman filter to nonlinear systems. A set of samples are used to parametrize the mean and covariance of a (not necessarily Gaussian) probability distribution. The method yields a filter that is more accurate than an extended Kalman filter (EKF) and easier to implement than an EKF or a Gauss second-order filter. Its effectiveness is demonstrated using an example
  • Keywords
    covariance matrices; discrete time systems; error analysis; estimation theory; filtering theory; missile guidance; mobile robots; nonlinear systems; probability; state estimation; Kalman filter; covariance matrix; discrete time systems; error estimation; missile tracking; mobile robots; nonlinear filters; nonlinear systems; probability distribution; state estimation; Additive noise; Covariance matrix; Filtering; Gaussian processes; Missiles; Mobile robots; Nonlinear filters; Nonlinear systems; Probability distribution; State estimation;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.847726
  • Filename
    847726