Paper Info
Title
Feedback Control of Scalar Conservation Laws with Application to Density Control in Freeways by Means of Variable Speed Limits.
Abstract
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.
Year
DOI
Venue
2018
10.1016/j.automatica.2019.03.021
Automatica
Keywords
Field
DocType
Conservation laws,Hyperbolic PDEs,Feedback stabilization,Traffic control
Applied mathematics,Mathematical optimization,Scalar (physics),Exponential stabilization,Traffic dynamics,Inlet,Speed limit,Conservation law,Mathematics
Journal
Volume
Issue
ISSN
105
1
0005-1098
Citations 
PageRank 
References 
2
0.39
14
Authors
2
Name
Order
Citations
PageRank
Iasson Karafyllis159255.06
Markos Papageorgiou2653165.20