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On the control of vibratory MEMS gyroscopes

  • Choura, S. (Micro-Electro-Thermal-Systems Research Unit, National Engineering School of Sfax, University of Sfax) ;
  • Aouni, N. (Department of Mechanical Engineering, University of Houston) ;
  • El-Borgi, S. (Applied Mechanics and Systems Research Laboratory, Tunisia Polytechnic School)
  • 투고 : 2007.03.04
  • 심사 : 2009.11.17
  • 발행 : 2010.09.25

초록

This paper addresses the control issue of vibratory MEMS-based gyroscopes. This study considers a gyroscope that can be modeled by an inner mass attached to an outer mass by four springs and four dampers. The outer mass itself is attached to the rotating frame by an equal number of springs and dampers. In order to measure the angular rate of the rotating frame, a driving force is applied to the inner mass and the Coriolis force is sensed along the y-direction associated with the outer mass. Due to micro-fabrication imperfections, including anisoelasticity and damping effects, both gyroscopes do not allow accurate measurements, and therefore, it becomes necessary to devise feedback controllers to reduce the effects of such imperfections. Given an ideal gyroscope that meets certain performance specifications, a feedback control strategy is synthesized to reduce the error dynamics between the actual and ideal gyroscopes. For a dual-mass gyroscope, it is demonstrated that the error dynamics are remarkably decreased with the application of four actuators applied to both masses in the x and y directions. It is also shown that it is possible to reduce the error dynamics with only two actuators applied to the outer mass only. Simulation results are presented to prove the efficiency of the proposed control design.

키워드

참고문헌

  1. Acar, C. (2004), Robust vibratory gyroscopes, PhD thesis, Department of aerospace and mechanical engineering, University of California at Irvine, USA.
  2. Acar, C., Schofield, A.R., Trusov, A.A., Costlow, L.E. and Shkel, A.M. (2009), "Environmentally robust MEMS vibratory gyroscopes for automotive applications", IEEE Sens. J., 9(12), 1895-1906. https://doi.org/10.1109/JSEN.2009.2026466
  3. Chang, S., Chia, M., Castillo-Borelley, P., Higdon, W., Jiang, Q., Johnson, J., Obedier, L., Putty, M., Shi, Q., Sparks, D. and Zarabadi, S. (1998), "An electroformed CMOS integrated angular rate sensor", Sensor. Actuat. A-Phys., 66(1-3), 138-143. https://doi.org/10.1016/S0924-4247(97)01761-5
  4. Dong, Y., Kraft, M., Hedenstierna, N. and Redman-White, W. (2008), "Microgyroscope control system using a high-order band-pass continuous-time sigma-delta modulator", Sensor. Actuat. A-Phys., 145-146, 299-305. https://doi.org/10.1016/j.sna.2007.10.057
  5. Gallacher, B.J., Hedley, J., Burdess, J.S., Harris, A.J., Rickard, A. and King, D.O. (2005), "Electrostatic correction of structural imperfections present in a microring gyroscope", J. Microelectromech. S., 14(2), 221-234. https://doi.org/10.1109/JMEMS.2004.839325
  6. Jiang, X., Seeger, J.I., Kraft, M. and Boser, B.E. (2000), "A monolithic surface micromachined z-axis gyroscope with digital output", Proceedings of the IEEE 2000 Symposium on VLSI Circuits, Digest of Technical Papers, Honolulu, HI, USA.
  7. Nasiri, S. (2004), A critical review of MEMS gyroscopes technology and commercialization status, Invensense.
  8. Painter, C.C. and Shkel, A.M. (2003), "Active structural error suppression in MEMS vibratory rate integrating gyroscopes", IEEE Sens. J., 3(5), 595-606. https://doi.org/10.1109/JSEN.2003.817165
  9. Painter, C.C. and Shkel, A.M. (2001), "Identification of anisoelasticity for electrostatic trimming of rate integrating gyroscope", Proceedings of the SPIE Annual International Symposium on Smart Structures and Materials, New Port Beach, CA., USA, March.
  10. Park, S. and Horowitz, R. (2004), "New adaptive mode of operation for MEMS gyroscopes", J. Dyn. Syst. Meas. Control, 126(4), 800-810. https://doi.org/10.1115/1.1849252
  11. Park, S. and Horowitz, R. (2005), "Discrete time adaptive control for a MEMS gyroscope", Int. J. Adapt. Control Signal Process., 19(6), 485-503. https://doi.org/10.1002/acs.868
  12. Park, S., Horowitz, R. and Tan, C.W. (2008), "Dynamics and control of a MEMS angle measuring gyroscope", Sensor. Actuat. A-Phys., 144, 56-63. https://doi.org/10.1016/j.sna.2007.12.033
  13. Piyabongkarn, D., Rajamani, R. and Greminger, M. (2005), "The development of a MEMS gyroscope for absolute angle measurement", IEEE T. Contr. Syst. T., 13(2), 185-195. https://doi.org/10.1109/TCST.2004.839568
  14. Shkel, A.M., Horowitz, R., Seshia, A.A., Park, S. and Howe, R.T. (1999a), "Dynamics and control of micromachined gyroscopes", Proceedings of the American Control Conference, San Diego, CA, USA, June.
  15. Shkel, A.M., Howe, R.T., Horowitz, R. (1999b), "Modeling and simulation of micromachined gyroscopes in the presence of imperfection", Proceedings of the International Conference on Modelling and Simulation of Microsystems, Puerto Rico, USA.
  16. Trusov, A.A., Schofield, A.R. and Shkel, A.M. (2009), "Performance characterization of a new temperaturerobust gain-bandwidth improved MEMS gyroscope operated in air", Sensor. Actuat. A-Phys., 155(1), 16-22. https://doi.org/10.1016/j.sna.2008.11.003
  17. Yazdi, N., Ayazi, F. and Najafi, K. (1998), "Micromachined inertial sensors", P. IEEE, 86(8), 1640-1659. https://doi.org/10.1109/5.704269
  18. Zhuravlev, V.F. (1993), "Theoretical foundation of solid state wave gyroscope", Mech. Solids, 28(3), 3-15.

피인용 문헌

  1. Adaptive Sliding Mode Control of MEMS AC Voltage Reference Source vol.2017, 2017, https://doi.org/10.1155/2017/9425190