Robust Variable Structure Controllers for Axial Active Magnetic Bearing

This work focuses on robust variable structure control of a rotor-axial active magnetic bearing system. The electromagnetic force generated by active magnetic bearing is highly nonlinear characteristics. On the other hand, the magnetic force coefficient is a calculated value and its real value is not truly identified, therefore, robustness is a great importance in the operation of the active magnetic bearings system. On this works Lyapunov based three different type of variable structure controllers are proposed and experimentally tested. Robustness of the controllers were tested experimentally by creating some parametric uncertainty in the control system using an external disk mass attached to the rotor. The results of the controllers are also compared with conventional and linear robust controllers.

Keywords:

Axial active magnetic bearings, sliding mode controller high gain robust controller, high frequency robust controller,

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[1] G. Schweitzer, “Active Magnetic Bearings-Chances and Limitations,” In. Proc. International IFToMM Conference on Rotor Dynamics, 2002, Sydney, Australia, October 2002, pp. 1-14.
[2] M. Murata, H. Tajima, T. Watanabe, and K. Seto, “New modeling and control methods for flexible rotors with magnetic bearings toward passing through critical speeds caused by elastic modes,” In. Int. Symp. on Magnetic Bearings, 2006, Martigny, Switzerland, pp. 1-6.
[3] ZC. Yu, D. Wen, HY. Zhang, “The Identification Model of Magnetic Bearing Supporting System,” In. Proc. International Conference on Computer Science and Software Engineering, 2008 vol.1, no., pp.70-73.
[4] DJ. Xuan, YB. Kim, JW. Kim and YD. Shen, “Magnetic Bearing Application by Time Delay Control,” Journal of Vibration and Control, 15: pp. 1307-1324, 2009.
[5] C. Akira, F. Tadashi, I. Osamu, O. Masahide, T. Masatsugu, and GD. David, Magnetic Bearings and Bearingless Drives, Elsevier, 2005.
[6] H. Sung-Kyung and R. Langari, “Robust fuzzy control of a magnetic bearing system subject to harmonic disturbances”, IEEE Transactions on Control Systems Technology, vol.8, no.2, pp.366-371, 2000.
[7] PY. Couzon and J. Der.Hagopian, “Neuro-fuzzy Active Control of Rotor Suspended on Active Magnetic Bearing”, Journal of Vibration and Control,13 pp. 365 -384, 2007.
[8] H. Tian, “Robust control of a spindle-magnetic bearing system using sliding-mode control and variable structure system disturbance observer”, Journal of Vibration and Control, 5, pp. 277 -298 1999.
[9] H. Kang, SY. Oh, and O. Song, “Control of a Rotor-magnetic Bearing System Based on Linear Matrix Inequalities”, Journal of Vibration and Control,17, pp. 291-300, 2011.
[10] M. Fujita, K. Hatake, F. Matsumura, “Loop shaping based robust control of a magnetic bearing”, IEEE Control Systems, vol.13, pp. 57-65, 1993.
[11] K. Nonami, T. Ito, “μ synthesis of flexible rotor-magnetic bearing systems,” IEEE Transactions on Control System Technology, vol.3, pp. 503-512, 1996.
[12] S. Sivrioglu, “Adaptive control of nonlinear zero-bias current magnetic bearing system,” Nonlinear Dynamics, vol:48, pp.175-184, 2007.
[13] DS. Russell and FW. William “Nonlinear Control of a Rigid Rotor Magnetic Bearing System: Modeling and Simulation with Full State Feedback,” IEEE Transactions on Magnetics, vol. 31, no. 2, pp. 973-980, 1995.
[14] J. Mimg-Jyi, C. Chieh-Le, T. Yi-Ming, “Sliding mode control for active magnetic bearing system with flexible rotor”, Journal of the Franklin Institute 342, pp. 401-418, 2005.
[15] S. Sivrioglu and K. Nonami, “Sliding mode control with time-varying hyperplane for AMB systems” IEEE/ASME Trans. Mech. 3 (1), pp. 51-59, 1998.
[16] S. Basaran, S. Sivrioglu, B. Okur, E. Zergeroglu, “Robust Control of Flexible Rotor Active Magnetic Bearing System” In. 6th International Advanced Technologies Symposium, Elazıg, Turkey, May 2011, pp.39-43.

International Journal of Applied Mathematics Electronics and Computers-Cover

ISSN: 2147-8228
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 2013
Yayıncı: Selçuk Üniversitesi

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