• DocumentCode
    3008125
  • Title

    Frequency domain curve fitting: a global approach

  • Author

    Slupphaug, Olav

  • Author_Institution
    Dept. of Eng. Cybern., Norwegian Univ. of Sci. & Technol., Norway
  • Volume
    3
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    2867
  • Abstract
    We consider the problem of fitting fixed order rational SISO transfer functions to frequency response data using a least squares criterion. The main contribution is showing how this problem can be solved semi-globally by transforming it into a bilinear matrix inequality (BMI) problem. The BMI problem is in turn solved by a branch-and-bound approach. An application is given to `linearisation´ of a complex dynamic multi-phase flow simulator
  • Keywords
    Lyapunov methods; curve fitting; frequency response; matrix algebra; rational functions; transfer functions; tree searching; bilinear matrix inequality problem; branch-and-bound approach; complex dynamic multi-phase flow simulator; fixed order rational SISO transfer functions; frequency domain curve fitting; global approach; least squares criterion; Control engineering; Curve fitting; Cybernetics; Data engineering; Frequency domain analysis; Frequency response; Least squares methods; Linear matrix inequalities; Stochastic resonance; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
  • Conference_Location
    Sydney, NSW
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-6638-7
  • Type

    conf

  • DOI
    10.1109/CDC.2000.914244
  • Filename
    914244