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arXiv · 1809.01959

A solution of the minimum-time velocity planning problem based on lattice theory

Luca Consolini·Mattia Laurini·Marco Locatelli·Andrea Minari
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Abstract

For a vehicle on an assigned path, we find the minimum-time speed law that satisfies kinematic and dynamic constraints, related to maximum speed and maximum tangential and transversal acceleration. We present a necessary and sufficient condition for the feasibility of the problem and a simple operator, based on the solution of two ordinary differential equations, which computes the optimal solution. Theoretically, we show that the problem feasible set, if not empty, is a lattice, whose supremum element corresponds to the optimal solution.

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Luca Consolini, Mattia Laurini, Marco Locatelli, Andrea Minari. 2018-09-06. A solution of the minimum-time velocity planning problem based on lattice theory. https://doi.org/10.1016/j.jfranklin.2020.05.024

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