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eess.SY2026
Log-linear Dynamic Inversion for Thrusting Spacecraft on SE2(3)
Micah K. Condie, Abigaile E. Woodbury, Li-Yu Lin +3
We demonstrate that the error dynamics of a thrusting spacecraft are nearly group affine on the Lie group, and the nonlinearity can be bounded, or removed with the applic…
eess.SY2025
Log-linear Backstepping control on
Li-Yu Lin, Benjamin Perseghetti, James Goppert
Most of the rigid-body systems which evolve on nonlinear Lie groups where Euclidean control designs lose geometric meaning. In this paper, we introduce a log-linear backstepping co…
eess.SY2024
Application of Log-Linear Dynamic Inversion Control to a Multi-rotor
Li-Yu Lin, James Goppert, Inseok Hwang
This paper presents an approach that employs log-linearization in Lie group theory and the Newton-Euler equations to derive exact linear error dynamics for a multi-rotor model, and…