Robust and LPV control of an AMB system

Active magnetic bearing spindles are predominantly subject to periodic disturbances due to an unbalanced mass. The frequency of these disturbances is known to be same as the operational (rotational) speed. LTI controllers provide for good disturbance attenuation only in very limited circumstances, i.e., when the operational speed is fixed or is very low. In the event of continuously changing operating speeds, LPV controllers can be very effective for disturbance rejection. In this research we study two robust control designs and an LPV control design method to demonstrate the far reaching performance benefits of the LPV controller.

[1]  M. Fujita,et al.  Loop shaping based robust control of a magnetic bearing , 1993, IEEE Control Systems.

[2]  Raoul Herzog,et al.  Unbalance compensation using generalized notch filters in the multivariable feedback of magnetic bearings , 1996, IEEE Trans. Control. Syst. Technol..

[3]  Masayuki Fujita,et al.  Experiments on the loop shaping based H∞, control of a magnetic bearing , 1993, 1993 American Control Conference.

[4]  Masayuki Fujita,et al.  Application of gain scheduled H∞ robust controllers to a magnetic bearing , 1996, IEEE Trans. Control. Syst. Technol..

[5]  Carl R. Knospe,et al.  Active magnetic bearings for machining applications , 2004 .

[6]  Abdelfatah M. Mohamed,et al.  Imbalance compensation and automation balancing in magnetic bearing systems using the Q-parameterization theory , 1995, IEEE Trans. Control. Syst. Technol..

[7]  Panagiotis Tsiotras,et al.  SELF-SCHEDULED H1 CONTROLLERS FOR MAGNETIC BEARINGS , 2004 .

[8]  Fen Wu.  Switching LPV control design for magnetic bearing systems , 2001, Proceedings of the 2001 IEEE International Conference on Control Applications (CCA'01) (Cat. No.01CH37204).

[9]  Roger L. Fittro,et al.  The μ Approach to Control of Active Magnetic Bearings , 2002 .

[10]  J Witte,et al.  Subspace identification and robust control of an AMB system , 2010, Proceedings of the 2010 American Control Conference.

[11]  Paul M.J. Van den Hof,et al.  Estimating Cutting Forces in Micromilling by Input Estimation from Closed-loop Data , 2008 .

[12]  Pierre Apkarian,et al.  Advanced gain-scheduling techniques for uncertain systems , 1998, IEEE Trans. Control. Syst. Technol..

[13]  J. van Eijk,et al.  Design and realization of a miniature spindle test setup with active magnetic bearings , 2007, 2007 IEEE/ASME international conference on advanced intelligent mechatronics.

[14]  Fumio Matsumura,et al.  Fundamental equation for horizontal shaft magnetic bearing and its control system design , 1981 .

[15]  Heeju Choi,et al.  LPV control design and experimental implementation for a magnetic bearing system , 2006, 2006 American Control Conference.

[16]  Pierre Apkarian.  On the discretization of LMI-synthesized linear parameter-varying controllers , 1997, Autom..