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 -