Many important industrial problems in the control of rotating machinery with active magnetic bearings concern the minimization of the rotor vibration response to poorly characterized disturbances at a single or several shaft locations, these typically not corresponding to those of a sensor or actuator. Herein, we examine experimental results of a multivariable controller obtained via μ synthesis with a laboratory test rig. These indicate that a significant improvement in performance can be obtained with a multivariable μ controller over that achieved with an optimal decentralized PD controller.

1.
Zhou, K., Doyle, J. C., and Glover, K., 1996, Robust and Optimal Control, Prentice-Hall, Englewood Cliffs, NJ.
2.
Fujita, M., Matsumura, F., and Namerikawa, T., 1992, “μ-Analysis and Synthesis of a Flexible Beam Magnetic Suspension System,” Proceedings of the 3rd International Symposium on Magnetic Bearings, Alexandria, VA, July, pp. 495–504.
3.
Fujita
,
M.
,
Namerikawa
,
T.
,
Matsumura
,
F.
, and
Uchida
,
K.
,
1993
, “
μ-Synthesis of an Electromagnetic Suspension System
,”
IEEE Trans. Autom. Control
,
40
, No.
3
, pp.
530
536
.
4.
Lo¨sch, F., Ga¨hler, C., and Herzog, R., 1998, “μ-Synthesis Controller Design for a 3 MW Pump Running on AMBs,” Proceedings of the 6th International Symposium on Magnetic Bearings, Cambridge, MA, Aug. Technomics, Lancaster, PA, pp. 415–428.
5.
Nonami, K., and Takayuki, I., 1994, “μ Synthesis of Flexible Rotor Magnetic Bearing Systems,” Proceedings of the 4th International Symp. on Magnetic Bearings, Zurich, Switzerland, Aug. pp. 73–78.
6.
Fittro, R. L., 1998, “A High Speed Machining Spindle With Active Magnetic Bearings: Control Theory, Design and Application,” Ph.D. dissertation, University of Virginia, Aug.
7.
Stephens, L. S., 1995, “Design and Control of Active Magnetic Bearings for a High Speed Machining Spindle,” Ph.D. dissertation, University of Virginia, Aug.
8.
Stephens, L. S., and Knospe, C. R., 1996, “μ-Synthesis Based, Robust Controller Design for AMB Machining Spindles,” Proceedings of the 5th International Symposium on Magnetic Bearings, Kanazawa, Japan, Aug.
9.
Herzog, R., and Bleuler, H., 1992, “On Achievable H∞ Disturbance Attenuation in AMB Control,” Proceedings of the 3rd International Symposium on Magnetic Bearings, Alexandria, VA, July Technomics Publishing, Lancaster, PA pp. 485–494.
10.
Meeker
,
D. C.
,
Maslen
,
E. H.
, and
Noh
,
M. D.
,
1996
, “
An Augmented Circuit Model for Magnetic Bearings Including Eddy Currents, Fringing, and Leakage
,”
IEEE Trans. Magn.
,
32
,
No. 4
No. 4
11.
Zmood
,
R. B.
,
Anand
,
D. K.
, and
Kirk
,
J. A.
,
1987
, “
The Influence of Eddy Currents on Magnetic Actuator Performance
,”
Proc. IEEE
,
75
, No.
2
, pp.
259
260
.
You do not currently have access to this content.