Robust Variable Structure Controllers for Axial Active Magnetic Bearing

Year 2016, , 178 - 183, 01.12.2016

Sinan Başaran , Selim Sivrioğlu

https://doi.org/10.18100/ijamec.270081

Abstract

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

References

• [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.