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A Structured Optimal Controller with Feed-Forward for Transportation

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arxiv 2106.04282 v2 pith:GQLLNXFC submitted 2021-06-08 math.OC

A Structured Optimal Controller with Feed-Forward for Transportation

classification math.OC
keywords controlleroptimalfeed-forwardgraphstructuredtransportationaccountallows
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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.

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