• DocumentCode
    2910572
  • Title

    Stable Approximations of Unstable Models

  • Author

    Haene, T.D. ; Pintelon, R. ; Guillaume, P.

  • Author_Institution
    Vrije Univ.Brussel, Brussels
  • fYear
    2007
  • fDate
    1-3 May 2007
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    This paper considers the following problem: starting from noisy data a model for the transfer function is estimated. For a finite number of data points, the model is not guaranteed to be stable, even when the true linear system is known to be stable. D´haene et al. [2006] describes an iterative procedure for calculating a stable approximation of an unstable model. This paper presents an improved algorithm resulting in significantly smaller approximation errors. In addition stable minimax solutions can also be generated.
  • Keywords
    approximation theory; iterative methods; numerical stability; transfer functions; approximation errors; iterative procedure; noisy data; stable approximations; system identification; transfer functions; unstable models; Cost function; Frequency; Instrumentation and measurement; Iterative algorithms; Linear systems; Matrix converters; Minimax techniques; Stability; Testing; Transfer functions; minimax; stability; system identification;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Instrumentation and Measurement Technology Conference Proceedings, 2007. IMTC 2007. IEEE
  • Conference_Location
    Warsaw
  • ISSN
    1091-5281
  • Print_ISBN
    1-4244-0588-2
  • Type

    conf

  • DOI
    10.1109/IMTC.2007.379369
  • Filename
    4258196