Absolute stability criteria for multiple slope-restricted monotonic nonlinearities

Wassim M. Haddad, Vikram Kapila

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Absolute stability criteria such as the classical Popov criterion guarantee stability for a class of sector-bounded nonlinearities. Although the sector restriction bounds the admissible class of the nonlinearities, the local slope of the nonlinearity may be arbitrarily large. In this paper we derive absolute stability criteria for multiple slope-restricted time-invariant monotonic nonlinearities. Like the Popov criterion, in the SISO case our results provide a simple graphical interpretation involving a straight line in a modified Popov plane.

Original languageEnglish (US)
Title of host publicationProceedings of the American Control Conference
PublisherAmerican Automatic Control Council
Pages1020-1021
Number of pages2
Volume1
StatePublished - 1994
EventProceedings of the 1994 American Control Conference. Part 1 (of 3) - Baltimore, MD, USA
Duration: Jun 29 1994Jul 1 1994

Other

OtherProceedings of the 1994 American Control Conference. Part 1 (of 3)
CityBaltimore, MD, USA
Period6/29/947/1/94

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Stability criteria

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Haddad, W. M., & Kapila, V. (1994). Absolute stability criteria for multiple slope-restricted monotonic nonlinearities. In Proceedings of the American Control Conference (Vol. 1, pp. 1020-1021). American Automatic Control Council.

Absolute stability criteria for multiple slope-restricted monotonic nonlinearities. / Haddad, Wassim M.; Kapila, Vikram.

Proceedings of the American Control Conference. Vol. 1 American Automatic Control Council, 1994. p. 1020-1021.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Haddad, WM & Kapila, V 1994, Absolute stability criteria for multiple slope-restricted monotonic nonlinearities. in Proceedings of the American Control Conference. vol. 1, American Automatic Control Council, pp. 1020-1021, Proceedings of the 1994 American Control Conference. Part 1 (of 3), Baltimore, MD, USA, 6/29/94.
Haddad WM, Kapila V. Absolute stability criteria for multiple slope-restricted monotonic nonlinearities. In Proceedings of the American Control Conference. Vol. 1. American Automatic Control Council. 1994. p. 1020-1021
Haddad, Wassim M. ; Kapila, Vikram. / Absolute stability criteria for multiple slope-restricted monotonic nonlinearities. Proceedings of the American Control Conference. Vol. 1 American Automatic Control Council, 1994. pp. 1020-1021
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