Document Type

Article

Publication Date

2024

Journal Article Version

Accepted Manuscript

First Page

1

Last Page

23

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 develops a model predictive control based formation flying algorithm for small spacecraft with a fixed thrust magnitude constraint that models the limitations of thrusters which have little to no ability to scale the thrust magnitude. The control instead calculates the optimal thrust duration which results in a mixed integer linear program (MILP). A guidance trajectory and control deadband are implemented to mitigate the increased computation time and possibility of control chattering that arise from the MILP formulation. A three spacecraft formation is tested in a series of simulations with varying dead- band widths and the performance in terms of control usage and error correction are measured. The control is found to be successful in maintaining a spacecraft formation although the performance is found to be highly dependent on the relationship between the minimum possible thrust time and the deadband width.

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