Conic sector analysis using integral quadratic constraints
Conic sector analysis using integral quadratic constraints
This paper interprets the Conic Sector stability results of Zames, and the multivariable generalizations provided by Safonov and Athans, in an integral quadratic constraint context. The ideas are formulated for the case where one element of a feedback interconnection is linear and the other satisfies a conic sector condition. This scenario allows the main stability results to be formulated using integral quadratic constraints, with all finite-sector cases being captured using this framework. The stability results are expressed using frequency domain inequalities or linear-matrix inequalities. Some examples show how the main technical result can, in the multivariable case, be used to provide a reduction in conservatism over standard results.
absolute stability, conic sector, integral quadratic constraints
741-755
Turner, Matthew C.
6befa01e-0045-4806-9c91-a107c53acba0
Forbes, James R.
96c984cf-b086-4588-9654-53ec7a298973
25 January 2020
Turner, Matthew C.
6befa01e-0045-4806-9c91-a107c53acba0
Forbes, James R.
96c984cf-b086-4588-9654-53ec7a298973
Turner, Matthew C. and Forbes, James R.
(2020)
Conic sector analysis using integral quadratic constraints.
International Journal of Robust and Nonlinear Control, 30 (2), .
(doi:10.1002/rnc.4803).
Abstract
This paper interprets the Conic Sector stability results of Zames, and the multivariable generalizations provided by Safonov and Athans, in an integral quadratic constraint context. The ideas are formulated for the case where one element of a feedback interconnection is linear and the other satisfies a conic sector condition. This scenario allows the main stability results to be formulated using integral quadratic constraints, with all finite-sector cases being captured using this framework. The stability results are expressed using frequency domain inequalities or linear-matrix inequalities. Some examples show how the main technical result can, in the multivariable case, be used to provide a reduction in conservatism over standard results.
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Accepted/In Press date: 7 October 2019
e-pub ahead of print date: 5 November 2019
Published date: 25 January 2020
Keywords:
absolute stability, conic sector, integral quadratic constraints
Identifiers
Local EPrints ID: 439209
URI: http://eprints.soton.ac.uk/id/eprint/439209
ISSN: 1049-8923
PURE UUID: edc30964-a471-4275-a404-1db565559620
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Date deposited: 07 Apr 2020 16:30
Last modified: 05 Jun 2024 17:53
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Author:
Matthew C. Turner
Author:
James R. Forbes
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