New Minimum Infinity-Norm Solution and Rapid Eigenaxis Attitude Maneuvering of Spacecraft

This paper presents a new algorithm for determining the minimum infinity-norm, or L ∞ -norm solution to a system of underdetermined consistent linear equations. This algorithm can be applied to enable rapid attitude maneuvering of spacecraft. Unlike previous algorithms that consider the dual optimiz...

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Bibliographic Details
Published in:The Journal of the astronautical sciences 2022-08, Vol.69 (4), p.988-1016
Main Authors: Yoon, Hyungjoo, Yun, Jeongin, Hwang, Jiyoon, Yoon, Hyosang
Format: Article
Language:English
Subjects:
Aerospace Technology and Astronautics
Algorithms
Attitudes
Engineering
Infinity
Linear equations
Mathematical Applications in the Physical Sciences
Optimization
Original Article
Reaction wheels
Space Exploration and Astronautics
Space Sciences (including Extraterrestrial Physics
Spacecraft
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Summary:This paper presents a new algorithm for determining the minimum infinity-norm, or L ∞ -norm solution to a system of underdetermined consistent linear equations. This algorithm can be applied to enable rapid attitude maneuvering of spacecraft. Unlike previous algorithms that consider the dual optimization problem, the proposed algorithm solves the control problem directly using the inherent properties of the solution. Therefore, the algorithm is relatively straightforward, easy to understand and implement, and provides more insight into the nature of the problem. Using the proposed algorithm, the maximum torque of a reaction-wheel array along a given direction can be determined in real-time onboard, thus improving the spacecraft’s attitude agility compared with the widely used minimum L 2 -norm solutions.
ISSN:2195-0571
0021-9142
2195-0571
DOI:10.1007/s40295-022-00329-9