Identification of non-linear characteristics of a class of block-oriented non-linear systems via Daubechies wavelet-based models

Hasiewicz, Zygmunt; Śliwiński, Przemysław

doi:10.1080/0020772021000064171

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Cited by 20 publications

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“…The algorithm can be easily adopted for the estimation of nonlinearities in time-varying systems, (Rutkowski, 1982;Vörös, 2005) and applied to systems from the class of the block-oriented nonlinear dynamic systems, like parallel or serial-parallel, or Uryson systems (Hasiewicz andŚliwiński, 2002;Billings and Fakhouri, 1978;Greblicki and Pawlak, 1994). Example 2.…”

Section: Final Remarksmentioning

confidence: 99%

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On-line wavelet estimation of Hammerstein system nonlinearity

Śliwiński¹

2010

International Journal of Applied Mathematics and Computer Science

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A new algorithm for nonparametric wavelet estimation of Hammerstein system nonlinearity is proposed. The algorithm works in the on-line regime (viz., past measurements are not available) and offers a convenient uniform routine for nonlinearity estimation at an arbitrary point and at any moment of the identification process. The pointwise convergence of the estimate to locally bounded nonlinearities and the rate of this convergence are both established.

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Section: Final Remarksmentioning

confidence: 99%

“…. , arriving and being processed sequentially in time, under the assumptions typical for nonparametric identification tasks (Greblicki and Pawlak, 1989;Hasiewicz andŚliwiński, 2002;Lang, 1997;Mzyk, 2007;Pawlak and Hasiewicz, 1998;Śliwiński et al, 2009) 4. The external disturbance, represented in the form {z k , k =.…”

Section: Problem Statementmentioning

confidence: 99%