• DocumentCode
    3551281
  • Title

    Identification of continuous-time ARX models using sample cross-covariances

  • Author

    Mossberg, Magnus

  • Author_Institution
    Dept. of Electr. Eng., Karlstad Univ., Sweden
  • fYear
    2005
  • fDate
    8-10 June 2005
  • Firstpage
    4766
  • Abstract
    The problem of estimating the parameters of a continuous-time ARX (CARX) process from discrete-time data is studied. In the proposed solution, an expression for the cross-covariance function between the input and the output signal of the CARX process is derived. This expression is parameterized by the unknown and searched parameters. The parameters are estimated by fitting the theoretical expression for the cross-covariance function to sample cross-covariances.
  • Keywords
    autoregressive processes; continuous time systems; covariance matrices; discrete time systems; identification; parameter estimation; poles and zeros; CARX process; continuous-time ARX models; cross-covariance function; discrete-time data; parameter estimation; sample cross-covariances; Control design; Least squares approximation; Linear regression; Mathematical model; Parameter estimation; Sampling methods; Signal processing; Stochastic systems; Vectors; White noise;
  • 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.2005.1470749
  • Filename
    1470749