# Invariant-based inverse engineering of crane control parameters

## TL;DR

This paper introduces an invariant-based inverse engineering method to optimize crane control parameters, minimizing energy excitation during load transport, inspired by techniques from atomic physics.

## Contribution

It applies invariant-based inverse engineering to crane control, bridging techniques from atomic physics to improve load transport efficiency.

## Key findings

- Minimized final energy excitation during crane load transport
- Established analogies between crane control and atomic physics techniques
- Demonstrated effectiveness in small-oscillations regime

## Abstract

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.