6자유도 정밀 스테이지의 추종제어를 위한 슬라이딩 모드 제어기 설계

Design of a Robust Position Tracking Controller with Sliding Mode for a 6-DOF Micropositioning Stage

  • 문준희 (대림대학 메카트로닉스과) ;
  • 이봉구 (대림대학 기계설계과)
  • 투고 : 2010.09.27
  • 심사 : 2011.11.23
  • 발행 : 2011.04.15

초록

As high precision industries such as semiconductor, TFT-LCD manufacturing and MEMS continue to grow, the demand for higher DOF precision stages has been increasing. In general, the stages should accommodate a prescribed range of payloads in order to position various precision manufacturing/inspection instruments. Therefore a nonlinear controller using sliding motion is developed, which bears mass perturbation and makes the upper plate of the stage move in 6 DOF. For the application of the nonlinear control, an observer is also developed based on expected noise covariance. To eliminate the steady state error of step response, integral terms are inserted into the state-space model. The linear term of the controller is designed using optimization scheme in which parameters can be weighted according to their physical significance, whereas the nonlinear term of the controller is designed using trial and error method. A comprehensive simulation study proves that the designed controller is robust against mass perturbation and completely eliminates steady state errors.

키워드

참고문헌

  1. Gordon, C. G., 1991, "Generic Criteria for Vibration- Sensitive Equipment," Proc. of International Society for Optical Engineering (SPIE), Vol. 1619, pp. 71-85.
  2. Shan, X., Kuo, S., Zhang, J., and Menq, C., 2002, "Ultra Precision Motion Control of a Multiple Degrees of Freedom Magnetic Suspension Stage," IEEE/ASME Transactions on Mechatronics, Vol. 7, No. 1, pp. 67-78. https://doi.org/10.1109/3516.990889
  3. Sugihara, K., Mori, I., Tojo, T., Ito, C., Tabata, M., and Shinozaki, T., 1989, "Piezoelectrically driven XY table for submicron lithography systems," Rev Scientific Instruments, Vol. 60, No. 9, pp. 3024-3029. https://doi.org/10.1063/1.1140598
  4. Smith, A. R., Gwo, S., and Shih, C. K., 1994, "A New High-Resolution Two-Dimensional Micropositioning Device for Scanning Probe Microscopy Applications," Rev. of Scientific Instruments, Vol. 65, No. 10, pp. 3216-3219. https://doi.org/10.1063/1.1144552
  5. Muthuswamy, J., Salas, D., and Okandan, M., 2002, "A Chronic Micropositioning System for Neurophysiology," Proc the Second Joint EMBS/BMES Conference, Houston, TX, USA, 23-26 October, pp. 2115-2116.
  6. Cho, B., and Seong, H., 2010, "The Design of Sliding Mode Controller for Precision Stage Using Genetic Algorithm," Journal of the Korean Society of Machine Tool Engineers, Vol. 19, No. 1, pp. 101-107.
  7. Yang, H. S., and Lee, G. B., 2006, "Sliding Mode Control of Manipulator Using Neural Network," Journal of the Korean Society of Machine Tool Engineers, Vol. 15, No. 5, pp. 114-122.
  8. Newport corporations webpage, Parallel kinematics HXP100-MECA, viewed 4 November 2010, .
  9. Piezomechanik GmbH webpage, Hexapods, viewed 4 November 2010, .
  10. Liaw, H. C., Shirinzadeh, B., and Smith, J., 2007, "Enhanced Sliding Mode Motion Tracking Control of Piezoelectric Actuators," Sensors and Actuators A: Physical, Vol. 138, No. 1, pp. 194-202. https://doi.org/10.1016/j.sna.2007.04.062
  11. Zuo, L., and Nayfeh, S. A., 2004, "An Integral Sliding Control for Robust Vibration Isolation and Its Implementation," Proceedings of SPIE, Vol. 5386, pp. 1-10.
  12. Tai, T. L., and Chen, J. S., 2005, "Discrete-Time Sliding-Mode Controller for Dual-Stage Systems - A Hierarchical Approach," Mechatronics, Vol. 15, No. 8, pp. 949-967. https://doi.org/10.1016/j.mechatronics.2005.03.004
  13. Park, M. K., Lee, M. C., and Go, S. J., 2002, "The Design of Sliding Mode Controller with Perturbation Observer for a 6-DOF Parallel Manipulator," ISIE 2001 IEEE International Symposium on Industrial Electronics, Vol. 3, pp. 1502-1507.
  14. Moon, J. H., Park, J. H., and Pahk, H. J., 2009, "Design and Modeling of a 6-DOF Stage for Ultra- Precision Positioning," Journal of the Korean Society for Precision Engineering, Vol. 26, No. 6, pp. 106-113.
  15. Utkin, V., 1977, "Variable Structure Systems with Sliding Modes," IEEE Transactions on Automatic control, Vol. 22, No. 2, pp. 212-222. https://doi.org/10.1109/TAC.1977.1101446
  16. Saaj, M. C., Bandyopadhyay, B., and Unbehauen, H., 2002, "A New Algorithm for Discrete-Time Sliding- Mode Control using Fast Output Sampling Feedback," IEEE Transactions on Industrial Electronics, Vol. 49, No. 3, pp. 518-523. https://doi.org/10.1109/TIE.2002.1005376
  17. Edwards, C., and Spurgeon, S. K., 1998, Sliding Mode Control: Theory and Applications, Taylor & Francis Ltd., UK.
  18. Skogestad, S., and Postlethwaite, I., 1996, Multivariable Feedback Control: Analysis and Design, Wiley, New York.