Improved Circle and Popov Criteria for systems containing magnitude bounded nonlinearities
Improved Circle and Popov Criteria for systems containing magnitude bounded nonlinearities
This paper presents improved versions of the Circle and Popov Criteria for Lure systems in which the nonlinear element is both sector and magnitude bounded. The main idea is to use the fact that if the nonlinearity is magnitude bounded and the linear system is asymptotically stable, then its state will be ultimately bounded. When the state enters this set of ultimate boundedness, it will satisfy a narrower sector condition which can then be used to prove stability in a wider set of cases than the standard Circle and Popov Criteria. The results are illustrated with some numerical examples.
Absolute stability, Anti-windup, Convex optimization, Robustness analysis, Stability of nonlinear systems
7409-7414
Turner, Matthew C.
6befa01e-0045-4806-9c91-a107c53acba0
Sofrony, Jorge
20f54d8e-0d5f-4a8a-be1e-61f4052f30ff
2017
Turner, Matthew C.
6befa01e-0045-4806-9c91-a107c53acba0
Sofrony, Jorge
20f54d8e-0d5f-4a8a-be1e-61f4052f30ff
Turner, Matthew C. and Sofrony, Jorge
(2017)
Improved Circle and Popov Criteria for systems containing magnitude bounded nonlinearities.
IFAC-PapersOnLine, 50 (1), .
(doi:10.1016/j.ifacol.2017.08.1494).
Abstract
This paper presents improved versions of the Circle and Popov Criteria for Lure systems in which the nonlinear element is both sector and magnitude bounded. The main idea is to use the fact that if the nonlinearity is magnitude bounded and the linear system is asymptotically stable, then its state will be ultimately bounded. When the state enters this set of ultimate boundedness, it will satisfy a narrower sector condition which can then be used to prove stability in a wider set of cases than the standard Circle and Popov Criteria. The results are illustrated with some numerical examples.
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e-pub ahead of print date: 18 October 2017
Published date: 2017
Keywords:
Absolute stability, Anti-windup, Convex optimization, Robustness analysis, Stability of nonlinear systems
Identifiers
Local EPrints ID: 439007
URI: http://eprints.soton.ac.uk/id/eprint/439007
ISSN: 2405-8963
PURE UUID: ea2d4e47-1bbd-4534-9b3f-ef24c9998d16
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Date deposited: 31 Mar 2020 16:31
Last modified: 16 Mar 2024 06:55
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Contributors
Author:
Matthew C. Turner
Author:
Jorge Sofrony
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