Robust stability of networked control systems with time-varying network-induced delays
conference paper
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
Topics
TNO Identifier
953848
ISSN
01912216
ISBN
1424401712
Publisher
Institute of Electrical and Electronics Engineers Inc.
Article nr.
4177604
Source title
Proceedings of the IEEE Conference on Decision and Control, 45th IEEE Conference on Decision and Control 2006, CDC, 13 December 2006 through 15 December 2006
Pages
4980-4985
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