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| URI | http://purl.tuc.gr/dl/dias/618FD9D8-28F8-42D0-A300-36707BE8A623 | - |
| Αναγνωριστικό | https://doi.org/10.23919/ECC.2018.8550563 | - |
| Γλώσσα | en | - |
| Μέγεθος | 8 pages | en |
| Τίτλος | Traffic flow inspired analysis and boundary control for a class of 2×2 hyperbolic systems | en |
| Δημιουργός | Karafyllis Iason | en |
| Δημιουργός | Καραφυλλης Ιασων | el |
| Δημιουργός | Bekiaris-Liberis Nikolaos | en |
| Δημιουργός | Μπεκιαρης-Λυμπερης Νικολαος | el |
| Δημιουργός | Papageorgiou Markos | en |
| Δημιουργός | Παπαγεωργιου Μαρκος | el |
| Εκδότης | Institute of Electrical and Electronics Engineers | en |
| Περιγραφή | Iasson Karafyllis and Markos Papageorgiou were supported by the funding from the European Research Council under the European Union's Seventh Framework Programme (FP/2007-2013) / ERC Grant Agreement n. [321132], project TRAMAN21. Nikolaos Bekiaris-Liberis was supported by the funding from the European Commission’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No. 747898, project PADECOT. | en |
| Περίληψη | The paper presents results for a class of 2x2 systems of nonlinear hyperbolic PDEs on a 1-D bounded domain, inspired by second-order traffic flow models. The model consists of two first-order hyperbolic PDEs with a dynamic boundary condition that involves the time derivative of the velocity. The developed model has features that are important from a traffic-theoretic point of view: is completely anisotropic and information travels forward exactly at the same speed as traffic. It is shown that, for all physically meaningful initial conditions, the model admits a globally defined, unique, classical solution that remains positive and bounded for all times. Furthermore, a nonlinear, explicit boundary feedback law is developed, which achieves global stabilization of arbitrary equilibria. The stabilizing feedback law depends only on the inlet velocity and consequently, the measurement requirements for the implementation of the proposed boundary feedback law are minimal. The efficiency of the proposed boundary feedback law is demonstrated by means of a numerical example. | en |
| Τύπος | Πλήρης Δημοσίευση σε Συνέδριο | el |
| Τύπος | Conference Full Paper | en |
| Άδεια Χρήσης | http://creativecommons.org/licenses/by/4.0/ | en |
| Ημερομηνία | 2018-11-30 | - |
| Ημερομηνία Δημοσίευσης | 2018 | - |
| Θεματική Κατηγορία | Traffic flow control | en |
| Θεματική Κατηγορία | Hyperbolic systems | en |
| Θεματική Κατηγορία | PDE control | en |
| Βιβλιογραφική Αναφορά | I. Karafyllis, N. Bekiaris-Liberis and M. Papageorgiou, "Traffic flow inspired analysis and boundary control for a class of 2×2 hyperbolic systems," in European Control Conference, 2018. doi: 10.23919/ECC.2018.8550563 | en |
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