Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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Optimal Tuning of Biaxial Servomechanisms Using a Cross-coupled Controller

상호결합제어기를 이용한 2축 서보메커니즘의 최적튜닝

  • 배호규 (한양대학교 대학원 기계설계학과) ;
  • 정성종 (한양대학교 기계공학부)
  • Published : 2006.10.01
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Abstract

Precision servomechanisms are widely used in machine tool, semiconductor and flat panel display industries. It is important to improve contouring accuracy in high-precision servomechanisms. In order to improve the contouring accuracy, cross-coupled control systems have been proposed. However, it is very difficult to select the controller parameters because cross-coupled control systems are multivariable, nonlinear and time-varying systems. In this paper, in order to improve contouring accuracy of a biaxial servomechanism, a cross-coupled controller is adopted and an optimal tuning procedure based on an integrated design concept is proposed. Strict mathematical modeling and identification process of a servomechanism are performed. An optimal tuning problem is formulated as a nonlinear constrained optimization problem including the relevant controller parameters of the servomechanism. The objective of the optimal tuning procedure is to minimize both the contour error and the settling time while satisfying constraints such as the relative stability and maximum overshoot conditions, etc. The effectiveness of the proposed optimal tuning procedure is verified through experiments.

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References

  1. Koren, Y., 1980, 'Cross-Coupled Biaxial Computer Control for Manufacturing Systems,' ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 102, No.4, pp. 265-272 https://doi.org/10.1115/1.3149612
  2. Srinivasan, K. and Kulkarni, P. K., 1990, 'CrossCoupled Control of Biaxial Feed Drive Servomechanisms,' ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 112, No.4, pp. 225-232 https://doi.org/10.1115/1.2896129
  3. Koren, Y. and Lo, C. C., 1991, 'Variable-Gain Cross-Coupling Controller for Contouring,' Annals of the CIRP, Vol. 40, No.1, pp. 371-374 https://doi.org/10.1016/S0007-8506(07)62009-5
  4. Ziegler, J. G. and Nichols, N. B., 1942, 'Optimum Setting for Automatic Controllers,' ASME Transaction, Vol. 64, pp. 759-768
  5. Tamg, Y. S., Chuang, H. Y. and Hsu, W. T., 1997, 'An Optimisation Approach to the Contour Error Control of CNC Machine Tools Using Genetic Algorithms,' International Journal of Advanced Manufacturing Technology, Vol. 13, pp. 359-366 https://doi.org/10.1007/BF01178256
  6. Kim, M. S. and Chung, S. C., 2005, 'A Systematic Approach to Design High-Performance Feed Drive Systems,' International Journal of Machine Tools and Manufacture, Vol. 45, pp. 1421-1435 https://doi.org/10.1016/j.ijmachtools.2005.01.032
  7. Kim, M. S., and Chung, S. C., 2003, 'Integrated Design of High-speed Feed Drive Systems,' Trans. of KSME(A), Vol. 27, No. 12, pp. 2028-2038 (in Korean) https://doi.org/10.3795/KSME-A.2003.27.12.2028
  8. Kim, M. S., and Chung, S. C., 2004, 'Integrated Design of Feed Drive Systems using Discrete 2-D.O.F. Controllers (I),' Trans. of KSME(A), Vol. 28, No.7, pp. 1029-1037 (in Korean) https://doi.org/10.3795/KSME-A.2004.28.7.1029
  9. Kim, M. S., and Chung, S. C., 2004, 'Integrated Design of Feed Drive Systems using Discrete 2-D.O.F. Controllers (II),' Trans. of KSME(A), Vol. 28, No.7, pp. 1038-1046 (in Korean) https://doi.org/10.3795/KSME-A.2004.28.7.1038
  10. Kim, M. S., and Chung, S. C., 2005, 'Integrated Design of servomechanisms using a Disturbance Observer,' Trans. of KSME(A), Vol. 29, No.4, pp. 591-599 (in Korean) https://doi.org/10.3795/KSME-A.2005.29.4.591
  11. Kim, M. S. and Chung, S. C., 2003, 'Identification of Nonlinear Characteristics for Precision Servomechanism,' Proceedings of the ASPE 2003 AnnuaIMeeting,pp.191-194
  12. Ljung, L., 1999, System Identification-Theory for the User, Prentice Hall PTR, New Jersey, pp. 79-246
  13. MATLAB System Identification Toolbox User Guide, 2000, Mathworks, Inc
  14. Ackermann, J., Bartlett, A., Kaesbauer, D., Sienel, W. and Steinhauser, R., 1993, Robust Control: Systems with Uncertain Physical Parameters, Springer-Verlag, English, pp. 124-134
  15. Arora, J. S., 1989, Introduction to Optimum Design, McGraw-Hill, Inc., Singapore
  16. MATLAB Optimization Toolbox User Guide, 2000, Mathworks, Inc
  17. MATLAB Simulink User Guide, 2000, Mathworks, Inc

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