The University of Southampton
×
Filter your search:
University of Southampton Institutional Repository

Data-driven simulation of continuous-time linear time-invariant systems: the autonomous case

Data-driven simulation of continuous-time linear time-invariant systems: the autonomous case
Data-driven simulation of continuous-time linear time-invariant systems: the autonomous case
We use orthogonal bases for continuous-time function spaces to state a version of Willems’ lemma (Willems et al., 2005) for autonomous systems. We assume that an infinite number of representation coefficients of a “sufficiently rich” trajectory is given, and we illustrate how to compute solutions to initial and boundary conditions problems from such data.
orthogonal basis, fundamental lemma, function approximation, autonomous system, data-driven simulation
2405-8963
International Federation of Automatic Control
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
van Waarde, Henk
906bc83a-bd1a-4cd3-8a4a-af7d7e8e7ef7
Camlibel, M.K.
de670aa3-6a3e-4a7b-8a78-0b58189080ab
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
van Waarde, Henk
906bc83a-bd1a-4cd3-8a4a-af7d7e8e7ef7
Camlibel, M.K.
de670aa3-6a3e-4a7b-8a78-0b58189080ab

Rapisarda, Paolo, van Waarde, Henk and Camlibel, M.K. (2023) Data-driven simulation of continuous-time linear time-invariant systems: the autonomous case. In Proceedings of the 22nd IFAC World Congress. International Federation of Automatic Control. 6 pp .

Record type: Conference or Workshop Item (Paper)

Abstract

We use orthogonal bases for continuous-time function spaces to state a version of Willems’ lemma (Willems et al., 2005) for autonomous systems. We assume that an infinite number of representation coefficients of a “sufficiently rich” trajectory is given, and we illustrate how to compute solutions to initial and boundary conditions problems from such data.

Text
FinalSubmission - Accepted Manuscript
Available under License Creative Commons Attribution Non-commercial No Derivatives.
Download (319kB)

More information

Published date: July 2023
Venue - Dates: The 22nd World Congress of the International Federation of Automatic Control, , Yokohama, Japan, 2023-07-09 - 2023-07-14
Keywords: orthogonal basis, fundamental lemma, function approximation, autonomous system, data-driven simulation
Learn more about Electrical Power Engineering research

Identifiers

Local EPrints ID: 480547
URI: http://eprints.soton.ac.uk/id/eprint/480547
ISSN: 2405-8963
PURE UUID: 77724107-1e60-4d2b-acce-c7fa85748f2f

Catalogue record

Date deposited: 04 Aug 2023 16:39
Last modified: 17 Mar 2024 03:52

Export record

Contributors

Author: Paolo Rapisarda
Author: Henk van Waarde
Author: M.K. Camlibel

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Library staff additional information
Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×