Abstract

Robust H∞ control of a flexible rotor supported by magnetic bearings is described. It is aimed at stabilization of a flexible rotor which runs over the bending critical speed. Both ends of the rotor are supported by magnetic bearings which are controlled by a local PD controller. The stiffness of the bearings needs to be high so that the vibration in the bending modes becomes less damped with increasing feedback gains. Additional sensors are installed for measurement of the bending modes and the modal PD controller is used to reduce the higher peaks. However. since spillover instability occurs in the system by using the modal controller. a modal H∞ controller is used to avoid spillover instability. The results show a high probability of reduction of the lower bending vibration and robustness to the higher peaks.

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