Direct Parameter Identification of Distributed Parameter Systems
Coca, D. and Billings, S.A.
(1998)
Direct Parameter Identification of Distributed Parameter Systems.
Research Report.
ACSE Research Report 702
.
Department of Automatic Control and Systems Engineering
Abstract
A new direct approach to identifying the parameters of distributed parameter systems from noise corrupted data is introduced. The model of the system which takes the form of a set of nonlinear partial differential equations is assumed known with the exception of a set of constant parameters. Using finite difference approximations of the spatial derivatives the original equation is transformed into a set of ordinary differential equations. The identification approach involves smoothing the measured data and estimating the temporal derivatives using a fixed interval smoother. A least squares method is then employed to estimate the unknown parameters. Three examples that illustrate the applicability of the proposed approach are presented and discussed.
Metadata
Item Type:
Monograph
Authors/Creators:
Coca, D.
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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