Ιδρυματικό Αποθετήριο
Πολυτεχνείο Κρήτης
Πολυτεχνείο Κρήτης
EN
|
EL
| URI | http://purl.tuc.gr/dl/dias/945C340E-24BA-4166-BBEA-952B4F417E7A | - |
| Αναγνωριστικό | https://doi.org/10.1016/j.automatica.2019.03.021 | - |
| Αναγνωριστικό | https://www.sciencedirect.com/science/article/pii/S0005109819301426 | - |
| Γλώσσα | en | - |
| Μέγεθος | 9 pages | en |
| Τίτλος | Feedback control of scalar conservation laws with application to density control in freeways by means of variable speed limits | en |
| Δημιουργός | Papageorgiou Markos | en |
| Δημιουργός | Παπαγεωργιου Μαρκος | el |
| Δημιουργός | Karafyllis Iason | en |
| Δημιουργός | Καραφυλλης Ιασων | el |
| Εκδότης | Elsevier | en |
| Περίληψη | The 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 |
| Τύπος | Peer-Reviewed Journal Publication | en |
| Τύπος | Δημοσίευση σε Περιοδικό με Κριτές | el |
| Άδεια Χρήσης | http://creativecommons.org/licenses/by/4.0/ | en |
| Ημερομηνία | 2020-05-28 | - |
| Ημερομηνία Δημοσίευσης | 2019 | - |
| Θεματική Κατηγορία | Conservation laws | en |
| Θεματική Κατηγορία | Feedback stabilization | en |
| Θεματική Κατηγορία | Hyperbolic PDEs | en |
| Θεματική Κατηγορία | Traffic control | en |
| Βιβλιογραφική Αναφορά | I. 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.2019.03.021 | en |
Copyright © DIAS 2013
