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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

Απλή Εγγραφή


URIhttp://purl.tuc.gr/dl/dias/945C340E-24BA-4166-BBEA-952B4F417E7A-
Αναγνωριστικόhttps://doi.org/10.1016/j.automatica.2019.03.021-
Αναγνωριστικόhttps://www.sciencedirect.com/science/article/pii/S0005109819301426-
Γλώσσαen-
Μέγεθος9 pagesen
ΤίτλοςFeedback control of scalar conservation laws with application to density control in freeways by means of variable speed limitsen
ΔημιουργόςPapageorgiou Markosen
ΔημιουργόςΠαπαγεωργιου Μαρκοςel
ΔημιουργόςKarafyllis Iasonen
ΔημιουργόςΚαραφυλλης Ιασωνel
ΕκδότηςElsevieren
ΠερίληψηThe 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
ΤύποςPeer-Reviewed Journal Publicationen
ΤύποςΔημοσίευση σε Περιοδικό με Κριτέςel
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by/4.0/en
Ημερομηνία2020-05-28-
Ημερομηνία Δημοσίευσης2019-
Θεματική ΚατηγορίαConservation lawsen
Θεματική ΚατηγορίαFeedback stabilizationen
Θεματική ΚατηγορίαHyperbolic PDEsen
Θεματική ΚατηγορίαTraffic controlen
Βιβλιογραφική ΑναφοράI. 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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