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Wavelet-based nonparametric identification technique for nonlinear dynamic systems. (English) Zbl 1354.93162

Summary: New parametric and non-parametric identification techniques, based on wavelet expansion, for dynamic systems is shown. The identification results of the parameters of models obtained by the least-squares method using the Haar wavelet packet analysis of randomly disturbed displacement signal is presented. New differentiation procedure of the measured data exploiting the properties of the wavelet packet analysis of a signal is applied. The non-parametric identification results of models are known in the form of the restoring force surfaces.

MSC:

93E12 Identification in stochastic control theory
42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems

Software:

Mathematica
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Full Text: DOI

References:

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.