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 | |
| Publication status | Published - 2014 |
| Event | 53rd IEEE Conference on Decision and Control (CDC2014) - "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 (CDC2014) |
|---|---|
| Abbreviated title | CDC2014 |
| Country | United States |
| City | Los Angeles |
| Period | 15/12/14 → 17/12/14 |
| Internet address |
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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
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 -