Practical Ultraprecision Positioning of a Ball Screw Mechanism

  • Sato, Kaiji (Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology) ;
  • Maeda, Guilherme Jorge (Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology)
  • 발행 : 2008.04.01

초록

This paper describes the problem of ultraprecision positioning with a ball screw mechanism in the microdynamic range, along with its solution. We compared the characteristics of two ball screw mechanisms with different table masses. The experimental results showed that the vibration resulting from the low stiffness of the ball screw degraded the positioning performance in the microdynamic range for the heavyweight mechanism. The proposed nominal characteristic trajectory following (NCTF) controller was designed for ultra precision positioning of the ball screw mechanism. The basic NCTF control system achieved ultra precision positioning performance with the lightweight mechanism, but not with the heavyweight mechanism. A conditional notch filter was added to the NCTF controller to overcome this problem. Despite the differences in payload and friction, both mechanisms then showed similar positioning performance, demonstrating the high robustness and effectiveness of the improved NCTF controller with the conditional notch filter. The experimental results demonstrated that the improved NCTF control system with the conditional notch filter achieved ultra precision positioning with a positioning accuracy of better than 10 nm, independent of the reference step input height.

키워드

참고문헌

  1. Oiwa, T. and Katsuki, M., "Survey of Questionnaire on Ultra-precision Positioning," J. of JSPE, Vol. 69, No. 8, pp. 1077-1082, 2003
  2. Gao, W., "Precision Nanometrology and its Applications to Precision Nanosystems," International Journal of Precision Engineering and Manufacturing Vol. 6, No.4, pp. 14-20, 2005
  3. Park, C. H., Oh, Y. J., Hwang, J. H. and Lee, D. W., "Development of an Ultra Precision Hydrostatic Guideway Driven by a Coreless Linear Motor," International Journal of Precision Engineering and Manufacturing, Vol. 6, No. 2, pp. 55-60, 2005
  4. Levine, W. S., "The Control Handbook," CRC Press, pp. 1369-1382, 1996
  5. Otsuka, J. and Masuda, T., "The Influence of Nonlinear Spring Behavior of Rolling Elements on Ultraprecision Positioning Control Systems," Nanotechnology, Vol. 9, No. 2, pp. 85-92, 1998 https://doi.org/10.1088/0957-4484/9/2/008
  6. Futami, S., Furutani, A. and Yoshida, S., "Nanometer Positioning and Its Micro-dynamics," Nanotechnology, Vol. 1, No. 1, pp. 31-37, 1990 https://doi.org/10.1088/0957-4484/1/1/006
  7. Okazaki, Y. and Kakuta, K., "Micro-dynamics of Slide Guideway Category," In: Proc. of 9th IPES, Vol. 2, pp. 421-424, 1997
  8. Tanaka1, T., Ikeda, K., Otsuka, J., Masuda, I. and Oiwa, T., "Influence of Rolling Friction in Linear Ball Guideways on Positioning Accuracy," International Journal of Precision Engineering and Manufacturing Vol. 8, No. 2, pp. 85-90, 2007
  9. Shimokohbe, A., Tachikawa, H., Sato, K. and Shinshi, T., "Dynamics and Control of Precision Positioning Systems Using Lead Screws," In Proc. of ICAMT, pp. 581-585, 1999
  10. Rao, G. S. and Ro, P. I., "Submicrometer Control of a Traction Drive Using State Feedback and Estimation," Prec. Eng., Vol. 17, No. 2, pp. 124-130, 1995 https://doi.org/10.1016/0141-6359(94)00013-P
  11. Fukada, S., "A Study on Microscopic Behavior of Preloaded Ball Screw for Ultra-precise Positioning," In: Proc. of the 1st Korea-Japan Conference on Positioning Technology, pp. 46-51, 2002
  12. Fukada, S., Naruse, S. and Matsumoto, T., "Studies on Microscopic Behavior of Ball Screw (1st Report)-Fundamental Experiments on Quasi-Static Characteristics," J. of JSPE, Vol. 66, No. 7, pp. 1070-1075, 2000
  13. Sato, K., "Trend of Precision Positioning Technology," In: Proc. of the COBEM2005, CD-ROM:COBEM2005-0542.pdf, 2005
  14. Chang, S. B., Wu, S. H. and Hu, Y. C., "Submicrometer Overshoot Control of Rapid and Precise Positioning," Prec. Eng., Vol. 20, No. 3, pp. 161-170, 1997 https://doi.org/10.1016/S0141-6359(97)00010-X
  15. Sato, K., Zheng, J., Tanaka, T. and Shimokohbe, A., "Micro/Macro Dynamic Characteristics of Mechanism with a Harmonic Speed Reducer and Precision Rotational Positioning Control Using Disturbance Observer," JSME Int. J. Series C, Vol. 43, No. 2, pp. 318-325, 2000 https://doi.org/10.1299/jsmec.43.318
  16. Altintas, Y., Erkorkmaz, K. and Zhu, W.-H., "Sliding Mode Controller Design for High Speed Feed Drives," Annals of CIRP, Vol. 49, No. 1, pp. 265-270, 2000 https://doi.org/10.1016/S0007-8506(07)62943-6
  17. Wahyudi, A., Sato, K. and Shimokohbe, A., "Characteristics of Practical Control for Point-to-Point (PTP) Positioning Systems Effect of Design Parameters and Actuator Saturation on Positioning Performance," Prec. Eng., Vol. 27, No. 2, pp. 157-169, 2003 https://doi.org/10.1016/S0141-6359(02)00226-X
  18. Sato, K., Nakamoto, K. and Shimokohbe, A., "Practical Control of Precision Positioning Mechanism with Friction," Prec. Eng., Vol. 28, No. 4, pp. 426-434, 2004 https://doi.org/10.1016/j.precisioneng.2004.01.003
  19. Nakagawa, S., Yamaguchi, T., Numasato, H., Hosokawa, H. and Hirai, H., "Improving the Disturbance Resistance of Magnetic Disk Drives by Using Anti-Windup and Model Following Controls with Initial Value Compensation," JSME Int. J. Series C, Vol. 43, No. 3, pp. 618-624, 2000 https://doi.org/10.1299/jsmec.43.618
  20. Sato, K., "Robust and Practical Control for PTP Positioning," In Proc. ICPT, pp. 394-395, 2004
  21. Sato, K. and Maeda, G. J., "Simple and Practical Control Method for Ultra-Precision Positioning-Application to a Ballscrew Mechanism," In Proc. of ASPE Annual Meeting, pp. 179-182, 2007
  22. Sato, K. and Maeda, G. J., "Vibration Problem of Ball Screw Mechanism in Ultra-Precision Positioning and Its Practical Solution,"In Proc. of JSPE Autumn Meeting, pp. 137-138, 2007