Station-keeping of $L_2$ halo orbits under sampled-data model predictive control
Abstract
The paper deals with the design of an improved model predictive control scheme for achieving station-keeping in a quasi Halo orbit around the point in the Earth-Moon system. The improvement is obtained thanks to a multi-rate sampled-data trajectory planner that allows for simplifying the optimization problem of the model predictive controller while guaranteeing feasibility and convergence to the desired orbit. The multi-rate planner is designed based on a simplified model of the dynamics under a preliminary nonlinear regulation feedback. The proposed control scheme is shown to outperform recent station-keeping nonlinear model predictive control designs both in terms of tracking error and energy expenditures in different situations. Finally, a brief study of aspects pertaining to computational time are carried out so highlighting the possibility for real time implementation on modern hardware.
Cite
@article{arxiv.2202.10755,
title = {Station-keeping of $L_2$ halo orbits under sampled-data model predictive control},
author = {Mohamed Elobaid and Mattia Mattioni and Salvatore Monaco and Dorothée Normand-Cyrot},
journal= {arXiv preprint arXiv:2202.10755},
year = {2022}
}