A composite circle criterion

D. Materassi; G. Innocenti; R. Genesio; M. Basso

doi:10.1109/CDC.2007.4434762

A composite circle criterion

D. Materassi, G. Innocenti, R. Genesio, M. Basso

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

The paper deals with the classical problem of the absolute stability in a SISO Lur'e system. The circle criterion is applied to different overlapping sectors and then, for all the functions in the 'union sector, a set of constraints is defined, so that they make globally asimptotically stable the closed loop system. The conclusion is that in every sector, such that can be covered by subsectors the circle criterion can be applied to, it is possible to define a class of nonlinearities, which solve the absolute stability problem.

Original language	English (US)
Title of host publication	Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Pages	4459-4464
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2007.4434762
State	Published - Dec 1 2007
Externally published	Yes
Event	46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States Duration: Dec 12 2007 → Dec 14 2007

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0191-2216

Other

Other	46th IEEE Conference on Decision and Control 2007, CDC
Country	United States
City	New Orleans, LA
Period	12/12/07 → 12/14/07

Access

10.1109/CDC.2007.4434762

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Materassi, D, Innocenti, G, Genesio, R & Basso, M 2007, A composite circle criterion. in Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC., 4434762, Proceedings of the IEEE Conference on Decision and Control, pp. 4459-4464, 46th IEEE Conference on Decision and Control 2007, CDC, New Orleans, LA, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434762

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N2 - The paper deals with the classical problem of the absolute stability in a SISO Lur'e system. The circle criterion is applied to different overlapping sectors and then, for all the functions in the 'union sector, a set of constraints is defined, so that they make globally asimptotically stable the closed loop system. The conclusion is that in every sector, such that can be covered by subsectors the circle criterion can be applied to, it is possible to define a class of nonlinearities, which solve the absolute stability problem.

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