Application of exponential splitting methods to fast switching theory

Maurizio Porfiri; D. Gray Roberson; Daniel J. Stilwell

doi:10.1109/acc.2006.1657672

Application of exponential splitting methods to fast switching theory

Maurizio Porfiri, D. Gray Roberson, Daniel J. Stilwell

Mechanical and Aerospace Engineering

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

Abstract

Stability of periodic linear switched systems is studied. By combining the method of averaging with exponential splitting, less conservative bounds on stabilizing switching rates are obtained than with other approximation techniques. Such bounds are useful for analysis and design of switching control laws. The stability analysis is generalized to a wider class of time-varying systems.

Original language	English (US)
Title of host publication	Proceedings of the 2006 American Control Conference
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5935-5940
Number of pages	6
ISBN (Print)	1424402107, 9781424402106
DOIs	https://doi.org/10.1109/acc.2006.1657672
State	Published - 2006
Event	2006 American Control Conference - Minneapolis, MN, United States Duration: Jun 14 2006 → Jun 16 2006

Publication series

Name	Proceedings of the American Control Conference
Volume	2006
ISSN (Print)	0743-1619

Other

Other	2006 American Control Conference
Country/Territory	United States
City	Minneapolis, MN
Period	6/14/06 → 6/16/06

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/acc.2006.1657672

Cite this

Porfiri, M., Roberson, D. G., & Stilwell, D. J. (2006). Application of exponential splitting methods to fast switching theory. In Proceedings of the 2006 American Control Conference (pp. 5935-5940). Article 1657672 (Proceedings of the American Control Conference; Vol. 2006). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/acc.2006.1657672

Application of exponential splitting methods to fast switching theory. / Porfiri, Maurizio; Roberson, D. Gray; Stilwell, Daniel J.
Proceedings of the 2006 American Control Conference. Institute of Electrical and Electronics Engineers Inc., 2006. p. 5935-5940 1657672 (Proceedings of the American Control Conference; Vol. 2006).

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

Porfiri, M, Roberson, DG & Stilwell, DJ 2006, Application of exponential splitting methods to fast switching theory. in Proceedings of the 2006 American Control Conference., 1657672, Proceedings of the American Control Conference, vol. 2006, Institute of Electrical and Electronics Engineers Inc., pp. 5935-5940, 2006 American Control Conference, Minneapolis, MN, United States, 6/14/06. https://doi.org/10.1109/acc.2006.1657672

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AB - Stability of periodic linear switched systems is studied. By combining the method of averaging with exponential splitting, less conservative bounds on stabilizing switching rates are obtained than with other approximation techniques. Such bounds are useful for analysis and design of switching control laws. The stability analysis is generalized to a wider class of time-varying systems.

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T3 - Proceedings of the American Control Conference

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Application of exponential splitting methods to fast switching theory

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