On controlling the motion of a solid body with data on angular velocity incomplete

The possibility of controlling the motion of a solid body with respect to the center of masses is investigated for the case where the data on its rotation are fed from one angular velocity sensor which is rigidly connected to the body. In the output space control algorithms are constructed which shift the vehicle to the mode of steadied motion both with an arbitrary and desired attitude of the rotation axis in the body referenced space. Conditions for asymptotic stability of these modes are analyzed.