Skip to Main content Skip to Navigation
Journal articles

Boundary Control Design for Traffic with Nonlinear Dynamics

Liudmila Tumash 1 Carlos Canudas de Wit 1 Maria Laura Delle Monache 1
1 DANCE - Dynamics and Control of Networks
Inria Grenoble - Rhône-Alpes, GIPSA-PAD - GIPSA Pôle Automatique et Diagnostic
Abstract : We address a problem of boundary control for a nonlinear scalar conservation law. Namely, this paper is devoted to the boundary control of an LWR PDE with triangular flux function evolving along a single road. The target state is a time-and space-dependent trajectory. The boundary control law is constructed using the analytical solution of the Hamilton-Jacobi equation, which is an integral form of the LWR PDE. We design a feedback controller and illustrate its performance on a numerical example using the Godunov scheme.
Document type :
Journal articles
Complete list of metadata

Cited literature [44 references]  Display  Hide  Download
Contributor : Liudmila Tumash Connect in order to contact the contributor
Submitted on : Friday, October 2, 2020 - 11:35:27 AM
Last modification on : Tuesday, October 19, 2021 - 11:18:17 AM
Long-term archiving on: : Monday, January 4, 2021 - 8:53:47 AM


Files produced by the author(s)




Liudmila Tumash, Carlos Canudas de Wit, Maria Laura Delle Monache. Boundary Control Design for Traffic with Nonlinear Dynamics. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, In press, ⟨10.1109/TAC.2021.3069394⟩. ⟨hal-02955853⟩



Les métriques sont temporairement indisponibles