Improved 2-gain analysis for a class of hybrid systems with applications to reset and event-triggered control

S.J.L.M. Van Loon, W.P.M.H. Heemels, A.R. Teel

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

7 Citations (Scopus)

Abstract

In this paper, we consider a special class of hybrid systems with periodic time-triggered jump conditions, and in which the jump map has a piecewise linear character. This hybrid systems class forms a relevant field of study as different control applications can be modeled in this hybrid system framework, including reset control and event-triggered control systems. After showing the unifying modeling character of this class of dynamical systems, we are interested in analyzing stability and 2-gain properties and we present novel conditions to do so which are significantly less conservative than the existing ones in literature. The effectiveness of the proposed modeling and analysis techniques is illustrated by means of a reset control example.

Original languageEnglish
Title of host publicationProceedings of the 53rd IEEE Conference on Decision and Control
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages1221-1226
Number of pages6
ISBN (Electronic)978-1-4673-6090-6
ISBN (Print)978-1-4799-7746-8
DOIs
Publication statusPublished - 2014
Event53rd IEEE Conference on Decision and Control (CDC2014) - "J.W. Marriott Hotel", Los Angeles, United States
Duration: 15 Dec 201417 Dec 2014
Conference number: 53
http://cdc2014.ieeecss.org/

Conference

Conference53rd IEEE Conference on Decision and Control (CDC2014)
Abbreviated titleCDC2014
CountryUnited States
CityLos Angeles
Period15/12/1417/12/14
Internet address

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  • Cite this

    Van Loon, S. J. L. M., Heemels, W. P. M. H., & Teel, A. R. (2014). Improved 2-gain analysis for a class of hybrid systems with applications to reset and event-triggered control. In Proceedings of the 53rd IEEE Conference on Decision and Control (pp. 1221-1226). [7039548] Piscataway: Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.2014.7039548