Optimal attitude control with two rotation axes
Optimization and Control
2017-11-15 v2
Abstract
Euler proved that every rotation of a 3-dimensional body can be realized as a sequence of three rotations around two given axes. If we allow sequences of an arbitrary length, such a decomposition will not be unique. In this paper we solve an optimal control problem minimizing the total angle of rotation for such sequences. We determine the list of possible optimal patterns that give a decomposition of an arbitrary rotation. Our results may be applied to the attitude control of a spacecraft with two available axes of rotation.
Keywords
Cite
@article{arxiv.1409.3102,
title = {Optimal attitude control with two rotation axes},
author = {Yuly Billig},
journal= {arXiv preprint arXiv:1409.3102},
year = {2017}
}
Comments
A MAPLE code for computing optimal decompositions has been added as an ancillary file. Load the code file as "MAPLE Text"