By applying invariant-based inverse engineering in the small-oscillations regime, we design the time dependence of the control parameters of an overhead crane (trolley displacement and rope length), to transport a load between two positions at different heights with minimal final energy excitation for a microcanonical ensemble of initial conditions. The analogies between ion transport in multisegmented traps or neutral atom transport in moving optical lattices and load manipulation by cranes opens a route for a useful transfer of techniques among very different fields.
Cite
@article{arxiv.1705.06883,
title = {Invariant-based inverse engineering of crane control parameters},
author = {S. González-Resines and D. Guéry-Odelin and A. Tobalina and I. Lizuain and E. Torrontegui and J. G. Muga},
journal= {arXiv preprint arXiv:1705.06883},
year = {2017}
}