Document Type

Article

Publication Date

2023

Journal Article Version

Accepted Manuscript

First Page

1

Last Page

42

Creative Commons License

Creative Commons Attribution-Noncommercial 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License

Abstract

This paper presents a Model Predictive Control (MPC) based control scheme that is used in conjunction with a sphere polytope boundary constraint and the Hill-Clohessey-Whiltshire (HCW) equations to maintain a desired trajectory of a cluster of spacecraft while also allowing freedom to maneuver within the allowable bounds. The operational polytope boundaries enable the predictive framework of the MPC to be used to make small maneuvers to avoid debris or achieve mission objectives. The boundaries are designed such that no two agents have overlapping regions, allowing the vehicles to execute avoidance strategies without continually maintaining the trajectories of other agents. The MPC framework combined with the convex polytope boundary enable a scalable method that can support clusters of satellites to coordinate to safely achieve mission objectives, while minimizing fuel usage. As part of the implementation of this control scheme, this paper compares the fuel cost savings of two spacecraft formation flying control approaches. The first approach uses fewer, large maneuvers to control a spacecraft to the center of a keep-in-volume. The second approach allows the spacecraft to perform many small maneuvers to stay just inside the boundary of the keep-in-volume.

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