Robust stability of networked control systems with time-varying network-induced delays

M.B.G. Posthumus - Cloosterman, N. Wouw, van de, W.P.M.H. Heemels, H. Nijmeijer

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

86 Citations (Scopus)

Abstract

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.
Original languageEnglish
Title of host publicationProceedings of the 45th IEEE Conference on Decision & Control, 13-15 December, 2006, San Diego, CA, USA
Pages4980-4985
DOIs
Publication statusPublished - 2006

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Time varying networks
Networked control systems
Uncertain systems
Motion control
Feedback
Controllers
Robust stability

Cite this

Posthumus - Cloosterman, M. B. G., Wouw, van de, N., Heemels, W. P. M. H., & Nijmeijer, H. (2006). Robust stability of networked control systems with time-varying network-induced delays. In Proceedings of the 45th IEEE Conference on Decision & Control, 13-15 December, 2006, San Diego, CA, USA (pp. 4980-4985) https://doi.org/10.1109/CDC.2006.376765
Posthumus - Cloosterman, M.B.G. ; Wouw, van de, N. ; Heemels, W.P.M.H. ; Nijmeijer, H. / Robust stability of networked control systems with time-varying network-induced delays. Proceedings of the 45th IEEE Conference on Decision & Control, 13-15 December, 2006, San Diego, CA, USA. 2006. pp. 4980-4985
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abstract = "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.",
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Posthumus - Cloosterman, MBG, Wouw, van de, N, Heemels, WPMH & Nijmeijer, H 2006, Robust stability of networked control systems with time-varying network-induced delays. in Proceedings of the 45th IEEE Conference on Decision & Control, 13-15 December, 2006, San Diego, CA, USA. pp. 4980-4985. https://doi.org/10.1109/CDC.2006.376765

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 proceedingConference contributionAcademicpeer-review

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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.

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Posthumus - Cloosterman MBG, Wouw, van de N, Heemels WPMH, Nijmeijer H. Robust stability of networked control systems with time-varying network-induced delays. In Proceedings of the 45th IEEE Conference on Decision & Control, 13-15 December, 2006, San Diego, CA, USA. 2006. p. 4980-4985 https://doi.org/10.1109/CDC.2006.376765