Anderson, S.R. and Kadirkamanathan, V. (2007) Modelling and identification of non-linear deterministic systems in the delta-domain. Automatica, 43 (11). pp. 1859-1868. ISSN 0005-1098
Abstract
This paper provides a formulation for using the delta-operator in the modelling of non-linear systems. It is shown that a unique representation of a deterministic non-linear auto-regressive with exogenous input (NARX) model can be obtained for polynomial basis functions using the delta-operator and expressions are derived to convert between the shift- and delta- domain. A delta-NARX model is applied to the identification of a test problem (a Van-der-Pol oscillator): a comparison is made with the standard shift operator non-linear model and it is demonstrated that the delta-domain approach improves the numerical properties of structure detection, leads to a parsimonious description and provides a model that is closely linked to the continuous-time non-linear system in terms of both parameters and structure.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2007 Elsevier B.V. This is an author produced version of a paper published in Automatica. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > Department of Psychology (Sheffield) The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) |
Depositing User: | Sherpa Assistant |
Date Deposited: | 10 Jan 2008 14:02 |
Last Modified: | 08 Feb 2013 16:55 |
Published Version: | http://dx.doi.org/10.1016/j.automatica.2007.03.020 |
Status: | Published |
Publisher: | Pergamon-Elsevier Science Ltd |
Refereed: | Yes |
Identification Number: | 10.1016/j.automatica.2007.03.020 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:3556 |