The exact feedback linerization control for the 2-DOF flywheel suspended by the passive and active hybrid magnetic bearings

The dynamic model of the flywheel suspended by the active and passive hybrid magnetic bearings (HMBs) is nonlinear. The magnetic flux superposition and couple cause the dynamic model couple in different degrees of freedom (DOFs). In this paper the nonlinear dynamic model of the flywheel suspended by the HMBs in the radial translation DOFs has been obtained using the magnetic flux circuit calculation method and the magnetic pole integration method. And then the obtained nonlinear dynamic model has been exactly linearized to a linear one using the state feedback. A wildly used linear controller based on the obtained linear model has been designed to stabilize the original nonlinear system. In the end, the simulation results show an encouraging effectiveness of the exact linearization control method in stabilizing the nonlinear system when it suffers the disturbance force caused by the residual static imbalance mass.