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Robust stabilization in the presence of coprime factor perturbations

Robust stabilization in the presence of coprime factor perturbations
Robust stabilization in the presence of coprime factor perturbations

The robust stabilization problem first suggested by M. Vidyasagar (1986) is considered. The authors examine uncertainty in the nominal system modeled by additive perturbations on the coprime factors of the system. It is demonstrated that the bound on the admissible uncertainty in D. McFarlane and K. Glover (1989) is restrictive in that there exist perturbations of larger size than this bound which are still stabilized. In the present work, the author examine perturbations in certain 'key' directions whose sizes are larger than the robustness margin but do not destabilize the plant.

1197-1198
Institute of Electrical and Electronics Engineers Inc.
Sefton, J. A.
f4e2c83b-2df6-47d5-94a8-5a44fdc32f2f
Ober, R.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Glover, K.
7ed59b99-9d9d-4634-9cd0-5f00e2bb6fbb
Sefton, J. A.
f4e2c83b-2df6-47d5-94a8-5a44fdc32f2f
Ober, R.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Glover, K.
7ed59b99-9d9d-4634-9cd0-5f00e2bb6fbb

Sefton, J. A., Ober, R. and Glover, K. (1990) Robust stabilization in the presence of coprime factor perturbations. In 29th IEEE Conference on Decision and Control. vol. 3, Institute of Electrical and Electronics Engineers Inc. pp. 1197-1198 . (doi:10.1109/CDC.1990.203796).

Record type: Conference or Workshop Item (Paper)

Abstract

The robust stabilization problem first suggested by M. Vidyasagar (1986) is considered. The authors examine uncertainty in the nominal system modeled by additive perturbations on the coprime factors of the system. It is demonstrated that the bound on the admissible uncertainty in D. McFarlane and K. Glover (1989) is restrictive in that there exist perturbations of larger size than this bound which are still stabilized. In the present work, the author examine perturbations in certain 'key' directions whose sizes are larger than the robustness margin but do not destabilize the plant.

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Published date: 1990

Identifiers

Local EPrints ID: 424995
URI: https://eprints.soton.ac.uk/id/eprint/424995
PURE UUID: 1ca10d6a-a051-4b6e-9a91-87915089b7d9
ORCID for R. Ober: ORCID iD orcid.org/0000-0002-1290-7430

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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. Ober ORCID iD
Author: K. Glover

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