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Graphs of linear systems and stabilization

Graphs of linear systems and stabilization
Graphs of linear systems and stabilization

The authors show how geometric ideas can be applied in control theory and in particular in robust control in order to give further insight into of fundamental issues. It is shown that stability criteria for control systems can be stated in terms of geometric notions in the Hilbert space. Two ways of modeling uncertainty in robust control have received a considerable amount of attention: uncertainty in the gap metric and coprime factor perturbations. The connection between these two uncertainty descriptions is discussed. A result is given that gives a full characterization of the maximal ball in the gap metric that can be stabilized by a controller.

545-546
Institute of Electrical and Electronics Engineers Inc.
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. (1992) Graphs of linear systems and stabilization. In Proceedings of the IEEE Conference on Decision and Control. Institute of Electrical and Electronics Engineers Inc. pp. 545-546 . (doi:10.1109/CDC.1991.261366).

Record type: Conference or Workshop Item (Paper)

Abstract

The authors show how geometric ideas can be applied in control theory and in particular in robust control in order to give further insight into of fundamental issues. It is shown that stability criteria for control systems can be stated in terms of geometric notions in the Hilbert space. Two ways of modeling uncertainty in robust control have received a considerable amount of attention: uncertainty in the gap metric and coprime factor perturbations. The connection between these two uncertainty descriptions is discussed. A result is given that gives a full characterization of the maximal ball in the gap metric that can be stabilized by a controller.

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More information

Published date: January 1992
Venue - Dates: Proceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3), Brighton, Engl, 1991-12-11 - 1991-12-13

Identifiers

Local EPrints ID: 425001
URI: https://eprints.soton.ac.uk/id/eprint/425001
PURE UUID: 8628dbe3-1b7f-4129-b1f9-99b3790205e1
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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