Institutional Repository [SANDBOX]
Technical University of Crete
EN  |  EL

Search

Browse

My Space

Feedback control of nonlinear hyperbolic PDE systems inspired by traffic flow models

Karafyllis, Iasson, Bekiaris-Liberis Nikolaos, Papageorgiou Markos

Simple record


URIhttp://purl.tuc.gr/dl/dias/0C605B68-6B82-4DE7-AB29-557E7EBF4D2A-
Identifierhttps://doi.org/10.1109/TAC.2018.2887141-
Identifierhttps://ieeexplore.ieee.org/document/8579158-
Languageen-
Extent16 pagesen
TitleFeedback control of nonlinear hyperbolic PDE systems inspired by traffic flow models en
CreatorKarafyllis, Iassonen
CreatorBekiaris-Liberis Nikolaosen
CreatorΜπεκιαρης-Λυμπερης Νικολαοςel
CreatorPapageorgiou Markosen
CreatorΠαπαγεωργιου Μαρκοςel
PublisherInstitute of Electrical and Electronics Engineersen
DescriptionI. Karafyllis and M. Papageorgiou were supported by the funding from the ERC under the European Union's 7th Framework Programme (FP/2007-2013)/ ERC Grant Agreement n. [321132], project TRAMAN21. N. Bekiaris-Liberis was supported by the funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 747898, project PADECOT.en
Content SummaryThe paper investigates and provides results, including feedback control, for a nonlinear, hyperbolic, 1-D PDE system on a bounded domain. The considered model consists of two first-order PDEs with a dynamic boundary condition on the one end and actuation on the other. It is shown that, for all positive initial conditions, the system admits a globally defined, unique, classical solution that remains positive and bounded for all times; these properties are important, for example for traffic flow models. Moreover, it is shown that global stabilization can be achieved for arbitrary equilibria by means of an explicit boundary feedback law. The stabilizing feedback law depends only on collocated boundary measurements. The efficiency of the proposed boundary feedback law is demonstrated by means of a numerical example of traffic density regulation.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2019-01-04-
Date of Publication2018-
SubjectBoundary feedbacken
SubjectTraffic flowen
SubjectHyperbolic PDEsen
Bibliographic CitationI. Karafyllis, N. Bekiaris-Liberis and M. Papageorgiou, "Feedback control of nonlinear hyperbolic PDE systems inspired by traffic flow models," IEEE Trans. Automat. Contr., Early Access, 2018. doi: 10.1109/TAC.2018.2887141en

Available Files

Services

Statistics