We study an optimal control problem for a simple transportation model on a path graph. We give a closed form solution for the optimal controller, which can also account for planned disturbances using feed-forward. The optimal controller is highly structured, which allows the controller to be implemented using only local communication, conducted through two sweeps through the graph.
@article{arxiv.2106.04282,
title = {A Structured Optimal Controller with Feed-Forward for Transportation},
author = {Martin Heyden and Richard Pates and Anders Rantzer},
journal= {arXiv preprint arXiv:2106.04282},
year = {2022}
}