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On the gap metric and coprime factor perturbations

On the gap metric and coprime factor perturbations
On the gap metric and coprime factor perturbations

New conditions are derived for when the distance between two linear systems in the gap metric is less than one. By including a coprimeness assumption in the coprime factor uncertainty description it is shown that an open ball in the gap metric is equivalent to an open ball phrased in terms of coprime factor perturbations. A new criterion is given for robust stabilization.

Control theory, frequency domain, multivariable systems, robust control, stability criteria
0005-1098
723-734
Sefton, J. A.
f4e2c83b-2df6-47d5-94a8-5a44fdc32f2f
Ober, R. J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Sefton, J. A.
f4e2c83b-2df6-47d5-94a8-5a44fdc32f2f
Ober, R. J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36

Sefton, J. A. and Ober, R. J. (1993) On the gap metric and coprime factor perturbations. Automatica, 29 (3), 723-734. (doi:10.1016/0005-1098(93)90066-3).

Record type: Article

Abstract

New conditions are derived for when the distance between two linear systems in the gap metric is less than one. By including a coprimeness assumption in the coprime factor uncertainty description it is shown that an open ball in the gap metric is equivalent to an open ball phrased in terms of coprime factor perturbations. A new criterion is given for robust stabilization.

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More information

Published date: May 1993
Keywords: Control theory, frequency domain, multivariable systems, robust control, stability criteria

Identifiers

Local EPrints ID: 425002
URI: https://eprints.soton.ac.uk/id/eprint/425002
ISSN: 0005-1098
PURE UUID: c2d2a13a-ff61-4890-8f26-8228226f5f4b
ORCID for R. J. Ober: ORCID iD orcid.org/0000-0002-1290-7430

Catalogue record

Date deposited: 09 Oct 2018 16:30
Last modified: 14 Mar 2019 01:21

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Contributors

Author: J. A. Sefton
Author: R. J. Ober ORCID iD

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