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An impulsive model predictive static programming based station-keeping guidance for quasi-halo orbits

Vutukuri, S and Padhi, R (2021) An impulsive model predictive static programming based station-keeping guidance for quasi-halo orbits. In: Acta Astronautica, 188 . pp. 518-530.

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Official URL: https://doi.org/10.1016/j.actaastro.2021.07.041

Abstract

In this paper, a control effort minimizing optimal station-keeping guidance is designed and implemented to regulate a spacecraft around an L1 quasi-halo orbit in the Sun�Earth�Moon elliptic four-body problem. The station-keeping guidance is formulated as a finite time, non-linear optimal control problem with hard terminal output constraints and Impulsive Model Predictive Static Programming (I-MPSP) is used to obtain station-keeping maneuvers. The algorithm is iterative, where the guessed station-keeping maneuvers are optimally updated by a simple closed-form equation until an output terminal constraint is satisfied and an optimal cost function is obtained. The technique involves the calculation of sensitivity matrices that is done in a computationally efficient manner owing to their recursive nature. Through extensive simulations, in the presence of disturbance forces and uncertainties, a closed-loop application of I-MPSP guidance results in a trajectory that remains tightly bound to the reference orbit over a long-duration mission. © 2021 IAA

Item Type: Journal Article
Publication: Acta Astronautica
Publisher: Elsevier Ltd
Additional Information: The copyright for this article belongs to Elsevier Ltd
Keywords: Cost functions; Iterative methods; Moon; Orbits, Circular restricted three-body problems; Control effort; Elliptic four body problem; Halo orbits; Impulsive models; Model predictive; Model predictive static programming; Quasi-halo orbit; Static programming; Station-keeping, Optimal control systems
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 24 Sep 2021 07:55
Last Modified: 24 Sep 2021 07:55
URI: http://eprints.iisc.ac.in/id/eprint/69732

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