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Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2022

Boundary Control Design for Traffic with Nonlinear Dynamics

Liudmila Tumash

Résumé

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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Dates et versions

hal-02955853 , version 1 (02-10-2020)

Identifiants

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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, 2022, 67 (3), pp.1301-1313. ⟨10.1109/TAC.2021.3069394⟩. ⟨hal-02955853⟩
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