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

Fingerprint

Hybrid systems
Hybrid Systems
Jump Conditions
Modeling
Piecewise Linear
Dynamical systems
Jump
Dynamical system
Control System
Control systems
Class
Character

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
Van Loon, S.J.L.M. ; Heemels, W.P.M.H. ; Teel, A.R. / Improved 2-gain analysis for a class of hybrid systems with applications to reset and event-triggered control. Proceedings of the 53rd IEEE Conference on Decision and Control. Piscataway : Institute of Electrical and Electronics Engineers, 2014. pp. 1221-1226
@inproceedings{dd1f589242c147d7b1d9b4bd9095a41e,
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",
language = "English",
isbn = "978-1-4799-7746-8",
pages = "1221--1226",
booktitle = "Proceedings of the 53rd IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers",
address = "United States",

}

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 (CDC2014), Los Angeles, 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 proceedingConference contributionAcademicpeer-review

TY - GEN

T1 - Improved 2-gain analysis for a class of hybrid systems with applications to reset and event-triggered control

AU - Van Loon, S.J.L.M.

AU - Heemels, W.P.M.H.

AU - Teel, A.R.

PY - 2014

Y1 - 2014

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84969750251&partnerID=8YFLogxK

U2 - 10.1109/CDC.2014.7039548

DO - 10.1109/CDC.2014.7039548

M3 - Conference contribution

AN - SCOPUS:84969750251

SN - 978-1-4799-7746-8

SP - 1221

EP - 1226

BT - Proceedings of the 53rd IEEE Conference on Decision and Control

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

ER -

Van Loon SJLM, Heemels WPMH, Teel AR. 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. Piscataway: Institute of Electrical and Electronics Engineers. 2014. p. 1221-1226. 7039548 https://doi.org/10.1109/CDC.2014.7039548