Abstract
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 45th IEEE Conference on Decision & Control, 13-15 December, 2006, San Diego, CA, USA |
| Pages | 4980-4985 |
| DOIs | |
| Publication status | Published - 2006 |
Fingerprint
Cite this
}
Robust stability of networked control systems with time-varying network-induced delays. / Posthumus - Cloosterman, M.B.G.; Wouw, van de, N.; Heemels, W.P.M.H.; Nijmeijer, H.
Proceedings of the 45th IEEE Conference on Decision & Control, 13-15 December, 2006, San Diego, CA, USA. 2006. p. 4980-4985.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review
TY - GEN
T1 - Robust stability of networked control systems with time-varying network-induced delays
AU - Posthumus - Cloosterman, M.B.G.
AU - Wouw, van de, N.
AU - Heemels, W.P.M.H.
AU - Nijmeijer, H.
PY - 2006
Y1 - 2006
N2 - Abstract—In this paper, the stability of a Networked Control System (NCS) with time-varying delays is analyzed. A discretetime state-space model is used to analyze the dynamics of the NCS. The delay is introduced by the network itself and is assumed to be upperbounded by a fraction of the sample-time. A typical motion control example is presented in which the timevariation of the delay results in an unstable system, although for each fixed delay the system is stable. Conditions in terms of LMIs are presented guaranteeing the robust asymptotic stability of the discrete-time system, given bounds on the uncertain time-varying delay. Moreover, it is shown that the robust stability conditions also guarantee asymptotic stability of the intersample behavior. Additionally, LMIs are presented to synthesize a feedback controller that stabilizes the system for the uncertain time-varying delay. The results are illustrated on an example concerning a mechanical model of a motor driving a roller in a printer.
AB - Abstract—In this paper, the stability of a Networked Control System (NCS) with time-varying delays is analyzed. A discretetime state-space model is used to analyze the dynamics of the NCS. The delay is introduced by the network itself and is assumed to be upperbounded by a fraction of the sample-time. A typical motion control example is presented in which the timevariation of the delay results in an unstable system, although for each fixed delay the system is stable. Conditions in terms of LMIs are presented guaranteeing the robust asymptotic stability of the discrete-time system, given bounds on the uncertain time-varying delay. Moreover, it is shown that the robust stability conditions also guarantee asymptotic stability of the intersample behavior. Additionally, LMIs are presented to synthesize a feedback controller that stabilizes the system for the uncertain time-varying delay. The results are illustrated on an example concerning a mechanical model of a motor driving a roller in a printer.
U2 - 10.1109/CDC.2006.376765
DO - 10.1109/CDC.2006.376765
M3 - Conference contribution
SN - 1-4244-0171-2
SP - 4980
EP - 4985
BT - Proceedings of the 45th IEEE Conference on Decision & Control, 13-15 December, 2006, San Diego, CA, USA
ER -