• DocumentCode
    3812497
  • Title

    Wavelet Amendment of Polynomial Models in Hammerstein Systems Identification

  • Author

    Przemyslaw Sliwinski;Jerzy Rozenblit;Michael W. Marcellin;Ryszard Klempous

  • Author_Institution
    Inst. of Comput. Eng., Wroclaw Univ. of Technol., Wroclaw
  • Volume
    54
  • Issue
    4
  • fYear
    2009
  • fDate
    4/1/2009 12:00:00 AM
  • Firstpage
    820
  • Lastpage
    825
  • Abstract
    A new wavelet algorithm for on-line improvement of an existing polynomial model of nonlinearity in a Hammerstein system is proposed and its properties are examined. The algorithm employs wavelet bases on interval. Convergence of the resulting assembly, comprising the parametric polynomial model and a nonparametric wavelet add-on, to the system nonlinearity is shown. Rates of convergence for uniformly smooth and piecewise smooth nonlinearities with discontinuities are both established.
  • Keywords
    "Polynomials","System identification","Automatic control","Differential equations","Stability","Stochastic processes","Nonlinear equations","Nonlinear systems","Control systems","Stochastic systems"
  • Journal_Title
    IEEE Transactions on Automatic Control
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2008.2009620
  • Filename
    4806163
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3812497