Robust magnetic bearing control via eigenstructure assignment dynamical compensation

IEEE Transactions on Control Systems Technology

Volumn 11, Issue 2, 2003, Pages 204-215

  Duan, Guang Ren ^a   Howe, David ^b  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

Active magnetic bearings; Disturbance attenuation; Dynamical compensators; Eigenstructure assignment; Eigenvalue sensitivities; Energy storage flywheel; Minimum control effort; Robust stability

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; MAGNETIC BEARINGS; SYSTEM STABILITY;

EIGENSTRUCTURE ASSIGNMENT;

ROBUSTNESS (CONTROL SYSTEMS);

EID: 0037353009     PISSN: 10636536     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCST.2003.809253     Document Type: Article

References (31)

1. M. Dussaux, "The industrial applications of active magnetic bearing technology," in Proc. 2nd Int. Symp. Magnetic Bearings, July 12-14, 1990, pp. 33-38.
2. Y. Zhuravlyov, "Linear-quadratic optimal control of active magnetic bearings for high speed rotor," in Proc. 6th Int. Symp. Magnetic Bearings. Cambridge, MA: Mass. Inst. Technol., Aug. 5-7, 1998, pp. 587-598.
3. Y. N. Zhuravlyov, "On LQ-control of magnetic bearing," IEEE Trans. Contr. Syst. Technol., vol. 8, pp. 344-350, Mar. 2000.
4. F. Betschon and R. Schob, "On-line-adapted vibration control," in Proc. 6th Int. Symp. Magnetic Bearings. Cambridge, MA: Mass. Inst. Technol., Aug. 5-7, 1998, pp. 362-371.
5. S. J. Fedigan, C. R. Knospe, and R. D. Williams, "Gain-scheduled control for substructure properties in AMBs," in Proc. 6th Int. Symp. Magnetic Bearings Cambridge, MA, Aug. 5-7, 1998, pp. 309-320.
6. L. Li, "On-line tuning of AMB Controllers using genetic algorithms," in Proc. 6th Int. Symp. Magnetic Bearings Cambridge, MA, Aug. 5-7, 1998, pp. 372-382.
7. P. Schroder, B. Green, and P. J. Fleming, "On-line evolution of robust control systems: An industrial active magnetic bearing application," Contr. Eng. Practice, vol. 9, no. 1, pp. 37-49, 2001.
8. F. Losch, C. Gahler, and R. Herzog, "μ-synthesis controller design for a 3 MW pump running in AMBs," in Proc. 6th Int. Symp. Magnetic Bearings Cambridge, MA, August 5-7, 1998, pp. 415-428.
9. J. D. Lindlau and C. R. Knospe, "Feedback linearization of an active magnetic bearing with voltage control," IEEE Trans. Contr. Syst. Technol., vol. 10, pp. 21-31, Jan. 2002.
10. K. Youcef-Toumi and O. Ito, "Controller design for systems with unknown dynamics," ASME J. Dyn. Syst., Meas.,Contr., vol. 112, no. 1, pp. 133-142, 1990.
11. K. Youcef-Toumi and S. Reddy, "Dynamic analysis and control of high speed and high precision active magnetic bearings," ASME J. Dyn. Syst., Meas., Contr., vol. 114, pp. 623-633, 1992.
12. J. Levine, J. Lotton, and J. C. Ponsart, "A nonlinear approach to the control of magnetic bearings," IEEE Trans. Contr. Syst. Technol, vol. 4, pp. 524-544, Sept. 1996.
13. Z. Y. Wu, P. H. Mellor, P. E. Mason, and D. Howe, "Non-linear control of magnetic bearings for high-speed flywheels," in Proc. 6th Int. Symp. Magnetic Bearings Cambridge, MA, Aug. 5-7, 1998, pp. 599-608.
14. M. Hirata, K. Nonami, and T. Ohno, "Robust control of a magnetic bearing system using constantly scaled H-infinity control," in Proc. 6th Int. Symp. Magnetic Bearings. Cambridge, MA: Mass. Inst. Technol., Aug. 5-7, 1998, pp. 713-722.
15. S. K. Hong and R. Langari, "Robust fuzzy control of a magnetic bearing system subject to harmonic disturbances," IEEE Trans. Contr. Syst. Technol., vol. 8, pp. 366-371, Mar. 2000.
16. J. Y. Hung, "Magnetic bearing control using fuzzy logic," IEEE Trans. Ind. Applicat., vol. 31, no. 6, pp. 1492-1497, Nov. 1995.
17. H. F. Steffani, W. Hofmann, and B. Cebulski, "A controller for a magnetic bearing using the dynamic programming method of Bellman," in Proc. 6th Int. Symp. Magnetic Bearings Cambridge, MA, Aug. 5-7, 1998, pp. 569-576.
18. F. Matsumara and T. Yoshimoto, "System modeling and control design of a horizontal-shaft magnetic bearing system," IEEE Trans. Magn., vol. MAG-22, pp. 196-203, May 1986.
19. A. M. Mohamed and I. Busch-Vishniac, "Imbalance compensation and automation balancing in magnetic bearing systems using the Q-parameterization theory," IEEE Trans. Contr. Syst. Technol, vol. 3, pp. 202-211, Mar. 1995.
20. P. E. Allaire and A. Sinha, "Robust sliding mode control of a planar rigid rotor system on magnetic bearings," in Proc. 6th Int. Symp. Magnetic Bearings Cambridge, MA, Aug. 5-7, 1998, pp. 577-586.
21. T. J. Yeh, Y. J. Chuang, and W. C. Wu, "Sliding control of magnetic bearing systems," J. Dyn. Syst. Meas., Contr., Trans. ASME, vol. 123, no. 3, pp. 353-362, 2001.
22. T. Mizuno, "Analysis on the fundamental properties of active magnetic bearing control systems by a transfer function approach," JSME Int. J. Series C. Mech. Syst. Mach. Elements Manufact., vol. 44, no. 2, pp. 367-373, 2001.
23. G. R. Duan, Z. Y. Wu, C. Bingham, and D. Howe, "Robust magnetic bearing control using stabilizing dynamical compensators," in Proc. 1999 Int. Elect. Machines Drives Conf., Seattle, WA, May 9-12, 1999, pp. 493-495.
24. _, "Magnetic bearing control using robust stabilising dynamical compensators," IEEE Trans. Ind. Applicat., vol. 36, pp. 1654-1660, Nov. 2000.
25. G. R. Duan, G. W. Irwin, and G. P. Liu, "Disturbance attenuation in linear systems via dynamical compensators - A parametric eigenstructure assignment approach," Proc. Inst. Elect. Eng., Contr. Theory Applicat., vol. 146, no. 2, pp. 129-136, 2000.
26. G. R. Duan, "Robust eigenstructure assignment via dynamical compensators," Automatica, vol. 29, no. 2, pp. 469-474, 1993.
27. J. Kautsky, N. K. Nichols, and P. Van Dooren, "Robust pole assignment in linear state feedback," Int. J. Contr., vol. 41, pp. 1129-1155,1985.
28. G. R. Duan, "Simple algorithm for robust eigenvalue assignment in linear output feedback," Proc. Inst. Elect. Eng., Contr. Theory Applicat., vol. 139, no. 5, pp. 465-469, 1992.
29. _, "Solutions to matrix equation AV + BW = VF and their application to eigenstructure assignment in linear systems," IEEE Trans. Automat. Contr., vol. 38, pp. 276-280, Feb. 1993.
30. _, "Eigenstructure assignment by decentralized output feedback - A complete parametric approach," IEEE Trans. Automat. Contr., vol. 39, pp. 1009-1014, May 1994.
31. _, "Eigenstructure assignment and response analysis in descriptor linear systems with state feedback control," Int. J. Contr., vol. 69, no. 5, pp. 663-694, 1998.