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
1721-1728
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Trentelman, Harry
b980862d-9ad8-407c-b14f-11410af5e653
August 2011
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), .
(doi:10.1016/j.automatica.2011.02.048).
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
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