An Optimal Control Algorithm for Suppression of Harmonic Base Excitation in Nonlinear Magnetic Bearings

Abstract

The paper deals with rotor systems that suffer harmonic base excitation when supported on magnetic bearings. Magnetic bearings using conventional control techniques perform poorly in such situations mainly due to their highly nonlinear characteristics. The compensation method presented here is a novel optimal control procedure with a combination of conventional, proportional and differential feedback control. A four degree of freedom model is used for the rotor system, and the bearings are modeled by nonlinear expressions. Each disturbance frequency is exprcted to produce a multi-harmonic system response, a characteristic of nonlinear systems. We apply optimal control choosing to minimize a performance index, which leads to the optimization of the trigonometric coefficients in the correction current function. Results show that the control technique suppresses rotor vibration to amplitudes that were significantly smaller than the disturbance amplitudes for the entire range of disturbance frequencies applied. The control technique explored in this paper is a promising step towards the successful application of magnetic bearings to systems mounted on moving platforms.