Abstract
Totally active DC-type magnetic bearing control system is designed by utilizing linear quadratic optimal control theory.
The rotor suspended by the magnetic bearing system has five degrees of freedom of motions which have to be controlled by the magnetic bearings. They are three translations and two rotations.
The optimal regulator problem for totally active magnetic bearing system is composed of two kinds of problems. One is a problem for single degree of freedom system about each translation and the other is a problem for two degrees of freedom system about rotations. Special attention is given to the latter since the latter is more general than the former. When the rotor rotates at high speed, there exists strong interaction between two rotations by gyroscopic effects. It is shown that the optimal regulator system needs antisymmetric cross state feedback corresponding to the gyroscopic coupling in the controlled system. The solution of the optimal regulator problem is also presented in an analytical form.
