Boundary Control Design for Traffic With Nonlinear Dynamics

نویسندگان

چکیده

We address a problem of boundary control for nonlinear scalar conservation law. Namely, this article is devoted to the Lighthill-Whitham-Richards (LWR) partial differential equation (PDE) with triangular flux function evolving along single road. The target state time- and space-dependent trajectory. law constructed using analytical solution Hamilton–Jacobi (H–J) equation, which an integral form LWR PDE. design feedback controller illustrate its performance on numerical example Godunov scheme.

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ژورنال

عنوان ژورنال: IEEE Transactions on Automatic Control

سال: 2022

ISSN: ['0018-9286', '1558-2523', '2334-3303']

DOI: https://doi.org/10.1109/tac.2021.3069394