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Feedback control of scalar conservation laws with application to density control in freeways by means of variable speed limits

Papageorgiou Markos, Karafyllis Iason

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URIhttp://purl.tuc.gr/dl/dias/945C340E-24BA-4166-BBEA-952B4F417E7A-
Identifierhttps://doi.org/10.1016/j.automatica.2019.03.021-
Identifierhttps://www.sciencedirect.com/science/article/pii/S0005109819301426-
Languageen-
Extent9 pagesen
TitleFeedback control of scalar conservation laws with application to density control in freeways by means of variable speed limitsen
CreatorPapageorgiou Markosen
CreatorΠαπαγεωργιου Μαρκοςel
CreatorKarafyllis Iasonen
CreatorΚαραφυλλης Ιασωνel
PublisherElsevieren
Content SummaryThe paper provides results for the stabilization of a spatially uniform equilibrium profile for a scalar conservation law that arises in the study of traffic dynamics under variable speed limit control. Two different control problems are studied: the problem with free speed limits at the inlet and the problem with no speed limits at the inlet. Explicit formulas are provided for respective feedback laws that guarantee stabilization of the desired equilibrium profile. For the first problem, global asymptotic stabilization is achieved; while for the second problem, regional exponential stabilization is achieved. Moreover, the solutions for the corresponding closed-loop systems are guaranteed to be classical solutions, i.e., there are no shocks. The obtained results are illustrated by means of a numerical example.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2020-05-28-
Date of Publication2019-
SubjectConservation lawsen
SubjectFeedback stabilizationen
SubjectHyperbolic PDEsen
SubjectTraffic controlen
Bibliographic CitationI. Karafyllis and M. Papageorgiou, "Feedback control of scalar conservation laws with application to density control in freeways by means of variable speed limits," Automatica, vol. 105, pp. 228-236, Jul. 2019. doi: 10.1016/j.automatica.2019.03.021en

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