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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.
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Last modification on : Tuesday, October 19, 2021 - 11:18:17 AM
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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, inPress, ⟨10.1109/TAC.2021.3069394⟩. ⟨hal-02955853⟩

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