Discrete-to-continuous dynamics reconstruction for bilinear systems
Discrete-to-continuous dynamics reconstruction for bilinear systems
In this work, we study the reconstruction of continuous-time models from discrete-time models of bilinear systems. Many dynamical systems contain nonlinearities and evolve continuously in time. However, due to the use of digital sensors for data acquisition, system identification methods typically rely on sampled data and yield a discrete-time model. Linking such a discrete-time model to its equivalent continuous-time dynamics is nontrivial. This paper proposes a discrete-to-continuous dynamics reconstruction for discrete-time models of a class of bilinear systems obtained by system identification. We show that for bilinear systems we can obtain a discrete-time model that is consistent with the measurement data. Furthermore, we show that one can derive from the discrete-time model, its equivalent continuous-time model. Two examples illustrate the approach
978-1-4673-2065-8
172-177
Rumschinski, Philipp
d82c5ac5-50c5-4cef-aa76-13a972f73418
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Findeisen, Rolf
be2ca39b-6c04-494b-8f75-8b7247c5d974
December 2012
Rumschinski, Philipp
d82c5ac5-50c5-4cef-aa76-13a972f73418
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Findeisen, Rolf
be2ca39b-6c04-494b-8f75-8b7247c5d974
Rumschinski, Philipp, Laila, Dina Shona and Findeisen, Rolf
(2012)
Discrete-to-continuous dynamics reconstruction for bilinear systems.
In Proceedings of 2012 IEEE 51st Annual Conference on Decision and Control (CDC).
IEEE.
.
(doi:10.1109/CDC.2012.6426859).
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Conference or Workshop Item
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Abstract
In this work, we study the reconstruction of continuous-time models from discrete-time models of bilinear systems. Many dynamical systems contain nonlinearities and evolve continuously in time. However, due to the use of digital sensors for data acquisition, system identification methods typically rely on sampled data and yield a discrete-time model. Linking such a discrete-time model to its equivalent continuous-time dynamics is nontrivial. This paper proposes a discrete-to-continuous dynamics reconstruction for discrete-time models of a class of bilinear systems obtained by system identification. We show that for bilinear systems we can obtain a discrete-time model that is consistent with the measurement data. Furthermore, we show that one can derive from the discrete-time model, its equivalent continuous-time model. Two examples illustrate the approach
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Published date: December 2012
Venue - Dates:
IEEE 51st Annual Conference on Decision and Control (CDC), Maui County, United States, 2012-12-10 - 2012-12-13
Organisations:
Mechatronics
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Local EPrints ID: 353763
URI: http://eprints.soton.ac.uk/id/eprint/353763
ISBN: 978-1-4673-2065-8
PURE UUID: fae4b2b4-32ad-4b83-bca4-d4b14b0d3bc2
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Date deposited: 17 Jun 2013 09:13
Last modified: 14 Mar 2024 14:09
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Author:
Philipp Rumschinski
Author:
Dina Shona Laila
Author:
Rolf Findeisen
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