Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Phase Control Loop Design based on Second Order PLL Loop Filter for Solid Type High Q-factor Resonant Gyroscope

고체형 정밀 공진 자이로스코프를 위한 이차 PLL 루프필터 기반 위상제어루프 설계

  • 박상준 (건국대학교 항공우주정보시스템공학과) ;
  • 용기력 (한국항공우주연구소) ;
  • 이영재 (건국대학교) ;
  • 성상경 (건국대학교 항공우주정보시스템공학과)
  • Received : 2012.01.03
  • Accepted : 2012.05.14
  • Published : 2012.06.01
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Abstract

This paper suggests a design method of an improved phase control loop for tracking resonant frequency of solid type precision resonant gyroscope. In general, a low cost MEMS gyroscope adapts the automatic gain control loops by taking a velocity feedback configuration. This control technique for controlling the resonance amplitude shows a stable performance. But in terms of resonant frequency tracking, this technique shows an unreliable performance due to phase errors because the AGC method cannot provide an active phase control capability. For the resonance control loop design of a solid type precision resonant gyroscope, this paper presents a phase domain control loop based on linear PLL (Phase Locked Loop). In particular, phase control loop is exploited using a higher order PLL loop filter by extending the first order active PI (Proportion-Integral) filter. For the verification of the proposed loop design, a hemispherical resonant gyroscope is considered. Numerical simulation result demonstrates that the control loop shows a robust performance against initial resonant frequency gap between resonator and voltage control oscillator. Also it is verified that the designed loop achieves a stable oscillation even under the initial frequency gap condition of about 25 Hz, which amounts to about 1% of the natural frequency of a conventional resonant gyroscope.

Keywords

References

  1. B.-L. Lee, C. H. Oh, S. Lee, Y. S. Oh, and K. Chun, "A vacuum packaged differential resonant accelerometer using gap sensitive electrostatic stiffness changing effect," Proc. of IEEE National Conference on Aerospace and Electronics, Miyazaki, Japan, pp. 352-357, Jan. 2000.
  2. D. Joachim and L. Lin, "Selective polysilicon deposition for frequency tuning of MEMS resonators," Proc. of IEEE National Conference on Aerospace and Electronics, Las Vegas, Nevada, pp. 727-730, Aug. 2002.
  3. B. L. Norling, "Superflex: a synergistic combination of vibrating beam and quartz flexure accelerometer," Journal of the Institute of Navigation, vo1. 34, no. 4, pp. 337-354, Winter 1988.
  4. S. Sung, J. G. Lee, T. Kang, and J. Song, "Development of a tunable resonant accelerometer with self-sustained oscillation loop," IEEE Proc. of National Conference on Aerospace and Electronics, Dayton, Ohio, pp. 354-361, Oct. 2000.
  5. S. J. Park, S. C. Yun, H. Yoon, Y. J. Lee, and S. Sung, "Oscillation phase control loop design and simulation for space level resonant," Proc. of 2011 KSAS Conference, pp. 1656-1661, Yongpyong, Korea, Nov. 2011.
  6. B. S. Chang, "An oscillation loop design for vibratory gyroscopes using phase locked loop," Ph.D. Thesis, Seoul National University, Korea, 2011.
  7. J. A. Connally and S. B. Brown, "Micromechanical fatigue testing," Proc. of 1991 International Conference on Solid-State Sensors and Actuators, pp. 956-956, June 1991.
  8. D. Y. Abramovitch, "Lyapunov redesign of analog phase-lock loops," IEEE Transactions on Communication, vol. 38, no. 12, pp. 2197-2202, Dec. 1990. https://doi.org/10.1109/26.64662
  9. S. Wanchanna, T. Benjanarasuth, N. Komine, and J. Ngamwiwit, "PLL equivalent augmented system incorporated with state feedback designed by LQR," International Journal of Control, Automation, and Systems, vol. 5, no. 2, pp. 161-168, April 2007.
  10. Y. S. Chou, W. L. Mao, Y. C. Chen, and F. R. Chang, "A novel loop filter design for phase locked loops," Proc. of IEEE Conference on Systems, Man, and Cybernetics, Taipei, Taiwan, pp. 2935-2938, Oct. 2006.
  11. M. S. Kang, Controller Design for a Solid State Resonating Gyro, M.S. Thesis, Konkuk University, Korea, 2019.
  12. D. D. Lynch, "Vibratory gyro analysis by the method of averaging," Proc. of the 2nd St. Petersburg International Conference on Gyroscopic Technology and Navigation, St. Petersburg, Russia, pp. 26-34, 1995.
  13. H. S. Myung, H. C. Bang, J. S. Lee, and J. W. Lim, "Controller design of hemispherical resonator gyroscopes using feedback linearization," Proc. of 2008 KSAS Conference, Jeju, Korea, pp. 911-914, Nov. 2008.
  14. P. W. Loveday and C. A. Rogers, "The influence of control system design on the performance of vibratory gyroscopes," Journal of Sound and Vibration, vol. 255, no. 3, pp. 417-432, Aug. 2002. https://doi.org/10.1006/jsvi.2001.4163
  15. S. J. Park, J. W. Song, S. H. Yun, B. J. Lee, Y. J. Lee, and S. Sung, "Oscillation control loop design and circuit implementation with a sustained amplitude for frequency readout type resonant sensors," Proc. of 2010 KSAS Conference, Jeju, Korea , pp. 722-725, Nov. 2010.
  16. S. J. Park, J. W. Song, B. Lee, H. Yoon, Y. J. Lee, and S. Sung, "Autonomous oscillation control loop design for amplitude controlled, frequency read-out-type resonant sensors," IEEE/ ASME Transactions on Mechatronics, article in press, 2012.
  17. S. C. Yun, S. Sung, Y. J. Lee, and T. Kang, "Oscillation amplitude-controlled resonant accelerometer design using automatic gain control loop," Journal of the KSAS, vol. 36, no. 7, pp. 674-679, June 2008.
  18. Roland E. Best, Phase-locked loops: design, simulation, and applications, McGraw-Hill, New York, 1999.
  19. S. J. Goldman, Phase-Locked Loop Engineering Handbook for Integrated Circuits, Artech House, Boston, 2000.
  20. Paul V. Brennan, Phase-Locked Loops: Principles and Practices, McGraw-Hill, New York, 1996.
  21. A. Carlosena and A. Manuel-Lazaro, "General method for phase-locked loop filter analysis and design," Journal of Circuits, Devices & Systems, vol. 2, no. 2, pp. 249-256, April 2008. https://doi.org/10.1049/iet-cds:20070065
  22. H.-J. Kong, S. C. Lee, S. Park, and S. K. Hong, "Oscillation control for a electro-magnetic vibratory gyroscope," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 11, no. 3, pp. 187-192, Mar. 2005.
  23. S. S. Park, "Frequency and amplitude control of micro resonant sensors," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 15, no. 3, pp. 258-264, Mar. 2009. https://doi.org/10.5302/J.ICROS.2009.15.3.258

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