Controllability of gyroscopic system from a viewpoint of parallel magnetic suspension

The controllability of gyroscopic systems is studied analytically. Two rotational motions of the rotor interact each other due to gyroscopic effects when the rotor is rotating. They are usually controlled with two control inputs in totally active magnetic bearing systems. Meanwhile, two degrees of freedom are controlled with a single control input in double parallel magnetic suspension systems. Such an approach is applied to gyroscopic systems in this article. Two rotational motions are controlled with a single control input. The conditions for gyroscopic systems to be controllable are clarified.