The University of Southampton
University of Southampton Institutional Repository

Identification and data-driven model reduction of state-space representations of lossless and dissipative systems from noise-free data

Identification and data-driven model reduction of state-space representations of lossless and dissipative systems from noise-free data
Identification and data-driven model reduction of state-space representations of lossless and dissipative systems from noise-free data
We illustrate procedures to identify a state-space representation of a lossless- or dissipative system from a given noise-free trajectory; important special cases are passive- and bounded-real systems. Computing a rank-revealing factorization of a Gramian-like matrix constructed from the data, a state sequence can be obtained; state-space equations are then computed solving a system of linear equations. This idea is also applied to perform model reduction by obtaining a balanced realization directly from data and truncating it to obtain a reduced-order model
Lossless systems, Dissipative systems, Identification, Model reduction, Quadratic difference forms, Gramian, Rank-revealing factorization
0005-1098
1721-1728
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Trentelman, Harry
b980862d-9ad8-407c-b14f-11410af5e653
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Trentelman, Harry
b980862d-9ad8-407c-b14f-11410af5e653

Rapisarda, Paolo and Trentelman, Harry (2011) Identification and data-driven model reduction of state-space representations of lossless and dissipative systems from noise-free data. Automatica, 47 (8), 1721-1728. (doi:10.1016/j.automatica.2011.02.048).

Record type: Article

Abstract

We illustrate procedures to identify a state-space representation of a lossless- or dissipative system from a given noise-free trajectory; important special cases are passive- and bounded-real systems. Computing a rank-revealing factorization of a Gramian-like matrix constructed from the data, a state sequence can be obtained; state-space equations are then computed solving a system of linear equations. This idea is also applied to perform model reduction by obtaining a balanced realization directly from data and truncating it to obtain a reduced-order model

Text
PUBLISHEDARTICLE.pdf - Other
Download (391kB)

More information

e-pub ahead of print date: 23 March 2011
Published date: August 2011
Keywords: Lossless systems, Dissipative systems, Identification, Model reduction, Quadratic difference forms, Gramian, Rank-revealing factorization
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 271970
URI: http://eprints.soton.ac.uk/id/eprint/271970
ISSN: 0005-1098
PURE UUID: aa38b11d-43a1-4512-8b6a-f783dbf679d8

Catalogue record

Date deposited: 01 Feb 2011 11:44
Last modified: 14 Mar 2024 09:44

Export record

Altmetrics

Contributors

Author: Paolo Rapisarda
Author: Harry Trentelman

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

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.

×