Abstract
This paper treates a 3-axis stabilized satellite which has a momentum wheel on pitch axis and a reaction wheel on each axis of roll and yaw. At first, gyroscopic motion is described based on angular momentum vectors. Then, three stabilizing methods of both nutation and precession modes are described. They are an ordinary PID, a new spatial (roll/yaw) phase compensation, and a simple form of the former. All methods include dynamical characters of the reaction wheels and utilize inter-axis cross-coupling feedback. Analyses of linearized models are performed using approximate eigenvalue and root locus method. Finally, several numerical examples are shown.
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