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Modelling and identification of non-linear deterministic systems in the delta-domain

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


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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.

Item Type: Article
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.
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
URI: http://eprints.whiterose.ac.uk/id/eprint/3556

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