Influence of discretization errors on set-based parameter estimation
Influence of discretization errors on set-based parameter estimation
In this paper we investigate the relationship between parameter estimates obtained for a nonlinear discrete-time (DT) approximation of a continuous-time (CT) nonlinear model and the parameters corresponding to the CT model itself. Preliminary results based on a set-based parameter estimation approach are proposed. The focus is thereby directed on formalizing the problem of ensuring that the set of consistent parameters of the CT model are also related to the consistent parameters of the DT model. Therefore, we propose two approaches to handle this problem. The first is based on a direct treatment of the discretization error, while the other is based on a differential geometric relationship of Euler discretization and the CT model. Two examples, one academic example and another one applying the proposed results to a well-known biological process, namely the Michaelis-Menten (MM) reaction, are presented to illustrate the usefulness of the results
978-1-4244-7745-6
296-301
Rumschinski, Philipp
d82c5ac5-50c5-4cef-aa76-13a972f73418
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Borchers, Steffen
2abefa4f-888d-47e5-b1c1-913a9b69a436
Findeisen, Rolf
be2ca39b-6c04-494b-8f75-8b7247c5d974
17 December 2010
Rumschinski, Philipp
d82c5ac5-50c5-4cef-aa76-13a972f73418
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Borchers, Steffen
2abefa4f-888d-47e5-b1c1-913a9b69a436
Findeisen, Rolf
be2ca39b-6c04-494b-8f75-8b7247c5d974
Rumschinski, Philipp, Laila, Dina Shona, Borchers, Steffen and Findeisen, Rolf
(2010)
Influence of discretization errors on set-based parameter estimation.
In Proceedings of 49th IEEE Conference on Decision and Control (CDC).
IEEE.
.
(doi:10.1109/CDC.2010.5717519).
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Conference or Workshop Item
(Paper)
Abstract
In this paper we investigate the relationship between parameter estimates obtained for a nonlinear discrete-time (DT) approximation of a continuous-time (CT) nonlinear model and the parameters corresponding to the CT model itself. Preliminary results based on a set-based parameter estimation approach are proposed. The focus is thereby directed on formalizing the problem of ensuring that the set of consistent parameters of the CT model are also related to the consistent parameters of the DT model. Therefore, we propose two approaches to handle this problem. The first is based on a direct treatment of the discretization error, while the other is based on a differential geometric relationship of Euler discretization and the CT model. Two examples, one academic example and another one applying the proposed results to a well-known biological process, namely the Michaelis-Menten (MM) reaction, are presented to illustrate the usefulness of the results
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Published date: 17 December 2010
Venue - Dates:
49th IEEE Conference on Decision and Control, Atlanta, USA., Georgia, 2010-12-15 - 2010-12-17
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Mechatronics
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Local EPrints ID: 353703
URI: http://eprints.soton.ac.uk/id/eprint/353703
ISBN: 978-1-4244-7745-6
PURE UUID: 0c82b335-a9ab-47e7-bc91-f1bf1c7bf7d9
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Date deposited: 24 Jun 2013 13:17
Last modified: 14 Mar 2024 14:08
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Author:
Philipp Rumschinski
Author:
Dina Shona Laila
Author:
Steffen Borchers
Author:
Rolf Findeisen
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