Wei, H.L. and Billings, S.A. (2004) Identification of the Hammerstein Model Using Multiresolution Wavelets. Research Report. ACSE Research Report 850 . Department of Automatic Control and Systems Engineering
Abstract
A new approach is introduced for identifying the Hammerstein model using multi-resolution wavelet decompositions. Under some mild assumptions, the linear dynamic part of the Hammerstein model can be identified separately from the static nonliearity. The static nonlinearity can then be identified and recovered using multi-resolution B-spline wavelet decompositions. The main advantages of the new method is that now the static nonlinearity cna be an arbitrary function which is either continuous or discontinuous. Simulation results are included to demonstrate the effectiveness of the new approach.
Metadata
Item Type: | Monograph |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | The Department of Automatic Control and Systems Engineering research reports offer a forum for the research output of the academic staff and research students of the Department at the University of Sheffield. Papers are reviewed for quality and presentation by a departmental editor. However, the contents and opinions expressed remain the responsibility of the authors. Some papers in the series may have been subsequently published elsewhere and you are advised to cite the later published version in these instances. |
Keywords: | B-spline wavelets; Hammerstein model; Identification; Multi-resolution analysis |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) > ACSE Research Reports |
Depositing User: | MRS ALISON THERESA BARNETT |
Date Deposited: | 13 Apr 2015 11:43 |
Last Modified: | 25 Oct 2016 14:24 |
Status: | Published |
Publisher: | Department of Automatic Control and Systems Engineering |
Series Name: | ACSE Research Report 850 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:84920 |