Partial asymptotic stabilization of the synchronization of two underactuated spacecraft

A synchronization control framework for rotation dynamics of multiple underactuated spacecraft is developed. Following the results by Casagrande et al. (2008), we propose a control law that achieves partial asymptotic stabilization of the synchronization problem between the spacecraft. The control law stabilizes both the attitude and the angular velocities errors between spacecraft simultaneously. Finally, we present a numerical example to show efficacy of the proposed approach.