Low-bias control of AMB subject to voltage saturation: State-feedback and observer designs

IEEE Transactions on Control Systems Technology

Volumn 13, Issue 2, 2005, Pages 262-273

  Tsiotras, Panagiotis ^a   Arcak, Murat ^b  

^a Georgia Institute of Technology   (United States)

^b RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

Magnetic field measurement; Magnetic levitation; Nonlinear systems; Observers; Passivation

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; CONSTRAINT THEORY; ELECTRIC POTENTIAL; MAGNETIC BEARINGS; MAGNETIC FIELD MEASUREMENT; MAGNETIC LEVITATION; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS; OBSERVABILITY; STATE FEEDBACK;

ACTIVE MAGNETIC BEARING; LOW BIAS CONTROL; OBSERVERS;

CONTROL SYSTEM SYNTHESIS;

EID: 15044347948     PISSN: 10636536     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCST.2004.839562     Document Type: Article

References (31)

1. P. Allaire, M. Kasarda, and L. K. Fujita, "Rotor power losses in planar radial magnetic bearings - Effects of number of stator poles, air gap thickness, and magnetic flux density," in Proc. Int. Gas Turbine and Aeroengine Congress and Exhibition, Stockholm, Sweden, 1998.
2. M. Arcak and P. Kokotović, "Nonlinear observers: A circle criterion design and robustness analysis," Automatica, vol. 37, no. 12, pp. 1923-1930, 2001.
3. M. D. Anderson and S. C. Dodd, "Battery energy storage technologies," Int. J. Control, vol. 81, no. 3, pp. 475-479, 1993.
4. "Economic and technical feasibility study for energy storage flywheels," Tech. Rep. ERDA-76-65, 1983.
5. J. C. Anselmo, "Technology leaps shape satellites of tomorrow," Aviation Week and Space Technol., pp. 56-58, Jan. 1999.
6. M. Baloh, G. Tao, and P. Allaire, "Modeling and control of a magnetic bearing actuated beam," in Proc. Amer. Control Conf., Chicago, IL, 2000, pp. 1602-1606.
7. A. Charara, J. D. Miras, and B. Caron, "Nonlinear control of a magnetic levitation system without premagetization," IEEE Trans. Contr. Syst. Technol., vol. 4, no. 5, pp. 513-523, Sep. 1996.
8. J. M. Coron, L. Praly, and A. Teel, "Feedback stabilization of nonlinear systems: Sufficient conditions and Lyapunov and input-output techniques," in Trends in Control: A European Perspective, A. Isidori, Ed. New York: Springer-Verlag, 1995, pp. 293-348.
9. C. D. Hall, "High-speed flywheels for integrated energy storage and attitude control," in Proc. Amer. Control Conf., Albuquerque, NM, 1997, pp. 1894-1898.
10. D. Johnson, G. V. Brown, and D. J. Inman, "Adaptive variable bias magnetic bearing control," in Proc. Amer. Control Conf., Philadelphia, PA, 1998, pp. 2217-2223.
11. F. Keith, "Implicit flux feedback control for magnetic bearings," Ph.D. dissertation, Univ. Virginia, Charlottesville, VA, 1993.
12. C. Knospe and C. Yang, "Gain-scheduled control of a magnetic bearing with low bias flux," in Proc. 36th Conf. Decision and Control, San Diego, CA, 1997, pp. 418-423.
13. C. Knospe, "The nonlinear control benchmark experiment," in Proc. Amer. Control Conf., Chicago, IL, 2000, pp. 2134-2138.
14. M. Krstić, I. Kanellakopoulos, and P. Kokotović, Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
15. L. Li, "Linearizing magnetic bearing actuators by constant current sum, constant voltage sum, and constant flux sum," IEEE Trans. Magn., vol. 35, no. 1, pp. 528-535, Jan. 1999.
16. Z. Lin and C. Knospe, "A saturated high gain control for a benchmark experiment," in Proc. Amer. Control Conf., Chicago, IL, 2000, pp. 2644-2648.
17. J. D. Lindlau and C. Knospe, "Feedback linearization of an active magnetic bearing with voltage control," IEEE Trans. Contr. Syst. Technol., vol. 10, no. 1, pp. 21-31, Jan. 2002.
18. W. Liu, Y. Chitour, and E. Sontag, "On finite-gain stabilizability of linear systems subject to input saturation," SIAM J. Control Optim. vol. 34, no. 4, pp. 1190-1219, 1996.
19. E. Maslen, P. Hermann, and M. Scott, "Practical limits to the performance of magnetic bearings: Peak force, slew rate and displacement sensitivity," SME J. Tribol., vol. 111, pp. 331-336, 1989.
20. E. Maslen, "Magnetic bearings," in Graduate Seminar Notes. Charlottsville, VA: Dept. Mechanical Aerospace Engineering, Univ. Virginia, 2000.
21. P. Proctor, "Flywheels show promise for High-Pulse satellites," Aviation Week and Space Technol., p. 67, Jan. 1999.
22. N. N. Rao, Elements of Engineering Electromagnetics, 4th ed. Englewood Cliffs, NJ: Prentice-Hall, 1994.
23. G. E. Rodriguez, P. A. Studer, and D. A. Baer, "Assessment of flywheel energy storage for spacecraft power systems," Tech. Rep. TM-85 061, 1983.
24. R. Sepulchre, M. Janković and P. V. Kokotović Constructive Nonlinear Control. New York: Springer-Verlag, 1997.
25. E. D. Sontag and Y. Wang, "On characterizations of the input-to-state stability property," Syst. Control Lett., vol. 24, pp. 351-359, 1995.
26. J. R. Stuart and J. G. Stuart, "Revolutionary next generation satellite communications architectures and systems," in Proc. IEEE Aerospace Conf., Aspen, CO, 1997, pp. 535-545.
27. H. Sussmann, E. D. Sontag, and Y. Yang, "A general result on the stabilization of linear systems using bounded controls," IEEE Trans. Autom. Control, vol. 39, no. 12, pp. 2411-2425, Dec. 1994.
28. A. Teel, "Using saturation to stabilize a class of single-input partially linear composite systems," in Proc. 2nd IFAC Nonlinear Control Systems Design Symp., Bordeaux, France, 1992, pp. 224-229.
29. A. Teel, "A nonlinear small gain theorem for the analysis of control systems with saturation," IEEE Trans. Autom. Control, vol. 41, no. 9, pp. 1256-1270, Sep. 1996.
30. P. Tsiotras, B. Wilson, and R. Bartlett, "Control of a zero-bias magnetic bearing using control Lyapunov functions," in Proc. 39th IEEE Conf. Decision and Control, Sydney, Australia, 2000, pp. 4048-4053.
31. P. Tsiotras and B. Wilson, "Zero- and low-bias control designs for active magnetic bearings," IEEE Trans. Contr. Syst. Technol., vol. 11, no. 6, pp. 889-904, Nov. 2003.