• DocumentCode
    1090802
  • Title

    Estimating model variance in the case of undermodeling

  • Author

    Hjalmarsson, Haåkan ; Ljung, Lennart

  • Author_Institution
    Dept. of Chem. Eng., California Inst. of Technol., Pasadena, CA, USA
  • Volume
    37
  • Issue
    7
  • fYear
    1992
  • fDate
    7/1/1992 12:00:00 AM
  • Firstpage
    1004
  • Lastpage
    1008
  • Abstract
    A reliable quality estimate of a given model is a prerequisite for any reasonable use of the model. The model error consists of two different contributions: the bias error and the random error. In this contribution, it is shown that the size (variance) of the random error can be reliably estimated in the case where a true system description cannot be achieved in the model structure used. This consistent error estimate can differ considerably from the conventionally used variance estimate, which could thus be misleading
  • Keywords
    modelling; parameter estimation; bias error; model variance estimation; parameter estimation; quality estimate; random error; undermodeling; Autocorrelation; Computer aided software engineering; Control system synthesis; Mathematical model; Reduced order systems; Robust control; Robustness; Stochastic processes; System identification; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.148358
  • Filename
    148358