On stability of the electromagnetic suspension rotor in space of control parameters
The problem of stabilizing the rotor in an electromagnetic suspension is considered. It is shown that initially a nonlinear system can be reduced to a linear form via feedback linearization approach. For mathematical model of a rigid rotor, consideration of a delay in the control system results in restrictions on the maximum values of the control parameters of the linearized system. The numerical and experimental results of the model of a flexible rotor qualitatively coincide with analytical estimation of a domain of control parameters and reveal the advantage of a linear system over nonlinear one. Due to the absence of subharmonic vibration in the oscillation spectrum of the linearized system, the rotor oscillation amplitude is substantially reduced.
CYBERNETICS AND PHYSICS, Vol. 6, No. 4, pp.174-178