On Overparameterization of Nonlinear Discrete Systems
Mendes, Eduardo M.A.M. and Billings, S.A.
(1997)
On Overparameterization of Nonlinear Discrete Systems.
Research Report.
ACSE Research Report 663
.
Department of Automatic Control and Systems Engineering
Abstract
One of the subjects which has received a great deal of attention is the overparameterization problem. It is known that the dynamical performance of the model representations deteriorates if the respective model structure is too complex. This paper investigates the problem of model overparameterization. Two new types of overparameterization, fixed-point and dimension overparameterization are introduced and based upon this a new procedure for improving structure detection of nonlinear models is developed. This procedure uses all the information from the cluster cancellation and the location of the fixed points. Numerous examples are given to illustrate the ideas.
Metadata
Item Type:
Monograph
Authors/Creators:
Mendes, Eduardo M.A.M.
Billings, S.A.
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.
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