Wavelet Amendment of Polynomial Models in Hammerstein Systems Identification |
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| Authors: | Sliwinski P Rozenblit J Marcellin MW Klempous R |
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| Affiliation: | Inst. of Comput. Eng., Wroclaw Univ. of Technol., Wroclaw; |
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| 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. |
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