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Dynamics and Control of an Active Magnetic Bearing-Rotor System with Time Delay

Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 238)

Abstract

Time delay in digital control loop, which is usually neglected in most of the research in electromechanical systems, may have great influence on the performance of high-speed active magnetic bearing (AMB) systems. In order to study time delay’s effect on system stability and dynamics, a 2-degree rigid rotor-magnetic bearing system was employed and the stability boundary of time delay on this system was discussed. Then a control law of compensation for time delay was presented and a state predictive module was introduced into closed-loop control system. Simulation results showed the control performance degraded owing to computing time delay, and the system became unstable when time delay exceeded the upper boundary. Then via the addition of time delay compensating module, the control performance is well improved. It is clearly indicated that it is necessary to take time delay into consideration when the dynamics and control problem of high-speed AMB system is studied. The control strategy presented in this paper can compensate the negative effect of delay effectively.

References

  1. 1.
    Kang H, Oh S-Y, Song O (2011) H control of a rotor-magnetic bearing system based on linear matrix inequalities. J Vib Control 17(2):291–300MathSciNetCrossRefGoogle Scholar
  2. 2.
    Lee DH et al (2010) Robust H control for uncertain nonlinear active magnetic bearing systems via Takagi-Sugeno fuzzy models. Int J Control Automat Syst 8(3):636–646CrossRefGoogle Scholar
  3. 3.
    Schlotter M, Keogh PS (2008) The vibration control of speed-dependent flexible rotor/magnetic bearing systems using linear matrix inequality gain-scheduled H design. In: Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering 222(2):97–107Google Scholar
  4. 4.
    Agarwal PK, Chand S (2011) Fuzzy logic control of three-pole active magnetic bearing system. Int J Model Ident Control 12(4):395–411CrossRefGoogle Scholar
  5. 5.
    Chen K-Y et al (2009) A self-tuning fuzzy PID-type controller design for unbalance compensation in an active magnetic bearing. Expert Syst Appl 36(4):8560–8570CrossRefGoogle Scholar
  6. 6.
    Du H et al (2010) Robust fuzzy control of an active magnetic bearing subject to voltage saturation. IEEE Trans Control Syst Technol 18(1):164–169CrossRefGoogle Scholar
  7. 7.
    Nagi FH, Inayat-Hussain JI, Ahmed SK (2009) Fuzzy bang-bang relay control of a single-axis active magnetic bearing system. Simul Model Pract Theory 17(10):1734–1747CrossRefGoogle Scholar
  8. 8.
    Xu C-G, Lu D-M, Hao J (2008) Design method for the magnetic bearing control system with fuzzy-PID approach. J Beijing Inst Technol (English Edition) 17(3):270–273Google Scholar
  9. 9.
    Chen S-L, Weng C-C (2010) Robust control of a voltage-controlled three-pole active magnetic bearing system. IEEE/ASME Trans Mechatron 15(3):381–388CrossRefGoogle Scholar
  10. 10.
    Chen S-Y, Lin F-J (2011) Robust nonsingular terminal sliding-mode control for nonlinear magnetic bearing system. IEEE Trans Control Syst Technol 19(3):636–643CrossRefGoogle Scholar
  11. 11.
    Kang MS, Lyou J, Lee JK (2010) Sliding mode control for an active magnetic bearing system subject to base motion. Mechatronics 20(1):171–178CrossRefGoogle Scholar
  12. 12.
    Lin FJ, Chen SY, Huang MS (2011) Intelligent double integral sliding-mode control for five-degree-of-freedom active magnetic bearing system. IET Control Theory Appl 5(11):1287–1303MathSciNetCrossRefGoogle Scholar
  13. 13.
    Lin F-J, Chen S-Y, Huang M-S (2011) Adaptive complementary sliding-mode control for thrust active magnetic bearing system. Control Eng Pract 19(7):711–722CrossRefGoogle Scholar
  14. 14.
    Yang J-H (2006) Robust adaptive control for a magnetically suspended bearing system. Int J Model Ident Control 1(3):239–243CrossRefGoogle Scholar
  15. 15.
    Liu H, Fang J, Liu G (2006) Implementation of active magnetic bearing digital controller. In: Sixth international symposium on instrumentation and control technology: sensors, automatic measurement, control and computer simulation. SPIE, BeijingGoogle Scholar
  16. 16.
    Ren S-Y, Bian C-Y, Liu J (2007) Digital control system of active magnetic bearing based on DSP. Dongbei Daxue Xuebao/J Northeastern Univ 28(7):1025–1028Google Scholar
  17. 17.
    Williams RD, Keith FJ, Allaire PE (1990) Digital control of active magnetic bearings. IEEE Trans Ind Electron 37(1):19–27CrossRefGoogle Scholar
  18. 18.
    Knospe CR et al (1997) Multitasking DSP implementation of adaptive magnetic bearing control. IEEE Trans Control Syst Technol 5(2):230–238CrossRefGoogle Scholar
  19. 19.
    Long ML, Carroll JJ, Mukundan R (1997) Computing time delay and its effects on real-time control systems. IEEE Trans Control Sys Technol 5(3):379Google Scholar
  20. 20.
    Ha C, Ly U-L, Vagners J (1993) Optimal digital control with computation time-delay: a W-synthesis method. In: Proceedings of the 1993 American control conference. IEEE, San Francisco, CAGoogle Scholar
  21. 21.
    Smith OJM (1959) A controller to overcome dead time. ISA J Instr Soc Am 6:28–33Google Scholar
  22. 22.
    Fuller AT (1968) Optimal nonlinear control of systems with pure delay. Int J Control 8(2):145–168MATHCrossRefGoogle Scholar
  23. 23.
    Watanabe K, Ito M (1981) Process-model control for linear systems with delay. IEEE Trans Automat Control AC-26(6):1261–1269Google Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Key Laboratory of Network and Information SecurityEngineering University of CAPFXi’anPeople’s Republic of China

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