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• W3120854574 abstract "This article deals with the observation problem in traffic flow theory. The model used is the quasilinear viscous Burgers equation. Instead of using the traditional fixed sensors to estimate the state of the traffic at given points, the measurements here are obtained from Probe Vehicles (PVs). We propose then a moving dynamic boundary observer whose boundaries are defined by the trajectories of the PVs. The main result of this article is the exponential convergence of the observation error, and, in some cases, its finite-time convergence. Finally, numerical simulations show that it is possible to observe the traffic in the congested, free-flow, and mixed regimes provided that the number of PVs is large enough." @default.
• W3120854574 created "2021-01-18" @default.
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• W3120854574 date "2020-12-14" @default.
• W3120854574 modified "2023-10-03" @default.
• W3120854574 title "Dynamic Traffic Reconstruction using Probe Vehicles" @default.
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• W3120854574 doi "https://doi.org/10.1109/cdc42340.2020.9304446" @default.
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