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

doi:10.1109/CDC.2014.7039548

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

Control Systems Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

8 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 language	English
Title of host publication	Proceedings of the 53rd IEEE Conference on Decision and Control
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	1221-1226
Number of pages	6
ISBN (Electronic)	978-1-4673-6090-6
ISBN (Print)	978-1-4799-7746-8
DOIs	https://doi.org/10.1109/CDC.2014.7039548
Publication status	Published - 2014
Event	53rd IEEE Conference on Decision and Control, CDC 2014 - "J.W. Marriott Hotel", Los Angeles, United States Duration: 15 Dec 2014 → 17 Dec 2014 Conference number: 53 http://cdc2014.ieeecss.org/

Conference

Conference	53rd IEEE Conference on Decision and Control, CDC 2014
Abbreviated title	CDC
Country/Territory	United States
City	Los Angeles
Period	15/12/14 → 17/12/14
Internet address	http://cdc2014.ieeecss.org/

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10.1109/CDC.2014.7039548

Cite this

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

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.",

author = "{Van Loon}, S.J.L.M. and W.P.M.H. Heemels and A.R. Teel",

year = "2014",

doi = "10.1109/CDC.2014.7039548",

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note = "53rd IEEE Conference on Decision and Control, CDC 2014, CDC ; Conference date: 15-12-2014 Through 17-12-2014",

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Van Loon, SJLM, Heemels, WPMH & Teel, AR 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., 7039548, Institute of Electrical and Electronics Engineers, Piscataway, pp. 1221-1226, 53rd IEEE Conference on Decision and Control, CDC 2014, Los Angeles, California, United States, 15/12/14. https://doi.org/10.1109/CDC.2014.7039548

Improved ₂-gain analysis for a class of hybrid systems with applications to reset and event-triggered control. / Van Loon, S.J.L.M.; Heemels, W.P.M.H.; Teel, A.R.

Proceedings of the 53rd IEEE Conference on Decision and Control. Piscataway : Institute of Electrical and Electronics Engineers, 2014. p. 1221-1226 7039548.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AB - 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.

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

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