Log-linear Dynamic Inversion for Thrusting Spacecraft on SE2(3)

Fuente: arXiv
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Autori principali: Condie, Micah K., Woodbury, Abigaile E., Lin, Li-Yu, Pant, Kartik A., Walker, Michael, Goppert, James
Natura: Preprint
Pubblicazione: 2025
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author Condie, Micah K.
Woodbury, Abigaile E.
Lin, Li-Yu
Pant, Kartik A.
Walker, Michael
Goppert, James
author_facet Condie, Micah K.
Woodbury, Abigaile E.
Lin, Li-Yu
Pant, Kartik A.
Walker, Michael
Goppert, James
contents We demonstrate that the error dynamics of a thrusting spacecraft are nearly group affine on the $SE_2(3)$ Lie group, and the nonlinearity can be bounded, or removed with the application of a dynamic inversion control law. A numerical example validates the results by showing agreement between the error predicted by the log-dynamics and the error obtained from classical integration of trajectories using Newtonian dynamics. The result clarifies how thrusting spacecraft dynamics fit within the invariant systems framework.
format Preprint
id arxiv_https___arxiv_org_abs_2512_05888
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Log-linear Dynamic Inversion for Thrusting Spacecraft on SE2(3)
Condie, Micah K.
Woodbury, Abigaile E.
Lin, Li-Yu
Pant, Kartik A.
Walker, Michael
Goppert, James
Systems and Control
We demonstrate that the error dynamics of a thrusting spacecraft are nearly group affine on the $SE_2(3)$ Lie group, and the nonlinearity can be bounded, or removed with the application of a dynamic inversion control law. A numerical example validates the results by showing agreement between the error predicted by the log-dynamics and the error obtained from classical integration of trajectories using Newtonian dynamics. The result clarifies how thrusting spacecraft dynamics fit within the invariant systems framework.
title Log-linear Dynamic Inversion for Thrusting Spacecraft on SE2(3)
topic Systems and Control
url https://arxiv.org/abs/2512.05888