Scipediacontent: Scipediacontent moved page Draft Content 971013997 to Krstic et al 2020a

2021-02-03T17:39:36Z

Scipediacontent moved page Draft Content 971013997 to Krstic et al 2020a

Scipediacontent: Created page with " == Abstract == International audience; In this paper we develop a boundary state feedback control law for a cascaded traffic flow network system: one incoming and one outgoi..."

2021-02-03T17:39:33Z

Created page with " == Abstract == International audience; In this paper we develop a boundary state feedback control law for a cascaded traffic flow network system: one incoming and one outgoi..."

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== Abstract ==

International audience; In this paper we develop a boundary state feedback control law for a cascaded traffic flow network system: one incoming and one outgoing road connected by a junction. The macroscopic traffic dynamics on each road segment are governed by Aw-Rascle-Zhang (ARZ) model, consisting of second-order nonlinear partial differential equations (PDEs) for traffic density and velocity. Different equilibrium road conditions are considered for the two segments. For stabilization of stop-and-go traffic congestion on the two roads, we consider a ramp metering located at the connecting junction. The traffic flow rate entering from the on-ramp to the mainline junction is actuated. The objective is to simultaneously stabilize the upstream and downstream traffic to given spatially-uniform constant steady states. We design a full state feedback control law for this under-actuated network of two systems of two hetero-directional linear first-order hyperbolic PDEs interconnected through the junction boundary. Exponential Convergence to steady states in L 2 sense is validated by a numerical simulation.

== Original document ==

The different versions of the original document can be found in:

* [http://arxiv.org/abs/1910.13885 http://arxiv.org/abs/1910.13885]

* [http://arxiv.org/pdf/1910.13885 http://arxiv.org/pdf/1910.13885]

* [http://xplorestaging.ieee.org/ielx7/9140048/9147203/09147929.pdf?arnumber=9147929 http://xplorestaging.ieee.org/ielx7/9140048/9147203/09147929.pdf?arnumber=9147929],
: [http://dx.doi.org/10.23919/acc45564.2020.9147929 http://dx.doi.org/10.23919/acc45564.2020.9147929]

* [https://dblp.uni-trier.de/db/conf/amcc/amcc2020.html#YuAK20 https://dblp.uni-trier.de/db/conf/amcc/amcc2020.html#YuAK20],
: [https://hal.archives-ouvertes.fr/hal-02524271 https://hal.archives-ouvertes.fr/hal-02524271],
: [https://academic.microsoft.com/#/detail/3045765258 https://academic.microsoft.com/#/detail/3045765258]

* [https://hal.archives-ouvertes.fr/hal-02524271 https://hal.archives-ouvertes.fr/hal-02524271],
: [https://hal.archives-ouvertes.fr/hal-02524271/document https://hal.archives-ouvertes.fr/hal-02524271/document],
: [https://hal.archives-ouvertes.fr/hal-02524271/file/20ACC_Final.pdf https://hal.archives-ouvertes.fr/hal-02524271/file/20ACC_Final.pdf]

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Krstic et al 2020a - Revision history

Scipediacontent: Scipediacontent moved page Draft Content 971013997 to Krstic et al 2020a

Scipediacontent: Created page with " == Abstract == International audience; In this paper we develop a boundary state feedback control law for a cascaded traffic flow network system: one incoming and one outgoi..."