Robust magnetic bearing control using stabilizing dynamical compensators

Duan, G R and Wu, Z Y and Bingham, Chris and Howe, D (2000) Robust magnetic bearing control using stabilizing dynamical compensators. IEEE Transactions on Industry Applications, 36 (6). pp. 1654-1660. ISSN 0093-9994

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Abstract

Abstract—This paper considers the robust control of an active radial magnetic bearing system, having a homopolar, external rotor topology, which is used to support an annular fiber composite flywheel rim. A first-order dynamical compensator, which uses only position feedback information, is used for control, its design being based on a linearized one-dimensional second-order model which is treated as an interval system in order to cope with parameter uncertainties. Through robust stability analysis, a parameterization of all first-order robustly stabilizing dynamical compensators for the interval system is initially obtained. Then, by appropriate selection of the free parameters in the robust controller, the H2 norm of the disturbance-output transfer function is made arbitrarily small over the system parameter intervals, and the norm of the input–output transfer function is made arbitrarily close to a lower bound. Simulation and experimental results demonstrate both stability and performance robustness of the developed controller.

Item Type: Article
Additional Information: Abstract—This paper considers the robust control of an active radial magnetic bearing system, having a homopolar, external rotor topology, which is used to support an annular fiber composite flywheel rim. A first-order dynamical compensator, which uses only position feedback information, is used for control, its design being based on a linearized one-dimensional second-order model which is treated as an interval system in order to cope with parameter uncertainties. Through robust stability analysis, a parameterization of all first-order robustly stabilizing dynamical compensators for the interval system is initially obtained. Then, by appropriate selection of the free parameters in the robust controller, the H2 norm of the disturbance-output transfer function is made arbitrarily small over the system parameter intervals, and the norm of the input–output transfer function is made arbitrarily close to a lower bound. Simulation and experimental results demonstrate both stability and performance robustness of the developed controller.
Keywords: magnetic bearings, robust stabilisation
Subjects: H Engineering > H600 Electronic and Electrical Engineering
Divisions: College of Sciences > Faculty of Science > Lincoln School of Engineering
Depositing User: Paul Stewart
Date Deposited: 24 Apr 2010 18:45
Last Modified: 13 Mar 2013 08:36
URI: http://eprints.lincoln.ac.uk/id/eprint/2351

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