• DocumentCode
    827182
  • Title

    Robustness and computational aspects of nonlinear stochastic estimators and regulators

  • Author

    Safonov, Michael G. ; Athans, Michael

  • Author_Institution
    University of Southern California, Los Angeles, CA, USA
  • Volume
    23
  • Issue
    4
  • fYear
    1978
  • fDate
    8/1/1978 12:00:00 AM
  • Firstpage
    717
  • Lastpage
    725
  • Abstract
    Robustness properties of nonlinear extended Kalman filters with constant gains and modeling errors are presented. Sufficient conditions for the nondivergence of state estimates generated by such nonlinear estimators are given. In addition, the overall robustness and stability properties of closed-loop stochastic regulators, based upon the linear-quadratic Gaussian design methodology using linearized dynamics, are presented; the sufficient conditions for closed-loop stability have a "separation-type" property.
  • Keywords
    Kalman filtering; Nonlinear systems, stochastic continuous-time; Optimal regulators; Optimal stochastic control; Stability; Stochastic optimal control; Covariance matrix; Design methodology; Filters; Regulators; Robustness; Stability; State estimation; Stochastic processes; Stochastic systems; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1978.1101825
  • Filename
    1101825