Multiscale Control of Generic Second Order Traffic Models by Driver-Assist Vehicles

@article{Chiarello2021MultiscaleCO,
  title={Multiscale Control of Generic Second Order Traffic Models by Driver-Assist Vehicles},
  author={Felisia Angela Chiarello and Benedetto Piccoli and Andrea Tosin},
  journal={Multiscale Model. Simul.},
  year={2021},
  volume={19},
  pages={589-611}
}
We study the derivation of generic high order macroscopic traffic models from a follow-the-leader particle description via a kinetic approach. First, we recover a third order traffic model as the hydrodynamic limit of an Enskog-type kinetic equation. Next, we introduce in the vehicle interactions a binary control modelling the automatic feedback provided by driver-assist vehicles and we upscale such a new particle description by means of another Enskog-based hydrodynamic limit. The resulting… 

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