DOI QR코드

DOI QR Code

Nonlinear Adaptive Control for Linear Motor through the Estimation of Friction Forces and Force Ripples

마찰력 및 리플력 추정을 통한 리니어 모터의 비선형 적응제어

  • 김홍빈 (한양대학교 대학원 자동차공학과) ;
  • 이병휘 (한양대학교 대학원 자동차공학과) ;
  • 한상오 (한양대학교 대학원 자동차공학과) ;
  • 허건수 (한양대학교 공학부)
  • Published : 2007.01.01

Abstract

Linear motor is easily affected by load disturbance, force ripple, friction, and parameter variations because there is no mechanical transmission to reduce the effects of model uncertainties and external disturbance. These nonlinear effects have been reduced for high-speed/high-accuracy position control either through the better motor design or via the better control algorithm that can compensate the nonlinear effects. In this paper, a nonlinear adaptive control algorithm is designed and applied for the position control of permanent magnet linear synchronous motor. In order to estimate and compensate the nonlinear effects such as friction and force ripple, the estimation and the nonlinear adaptive control laws are derived based on the virtual control input and a suitable Lyapunov function. The proposed controller is evaluated through the computer simulations. The control algorithm is also implemented to a DSP board and interfaced to the PMLSM for verifying the realtime control performance.

Keywords

References

  1. Otten, G., Theo, J. A., Amerongen, J. A., Rankers, A. M. and Gaal, E. W., 1997, 'Linear Motor Motion Control Using a Learning Feedforward Controller,' IEEE/ASME Transactions on Mechatronics, Vol. 2, No. 3, pp. 179-187 https://doi.org/10.1109/3516.622970
  2. Tan, K. K., Huang, S. N. and Lee, T. H., 2002, 'Robust Adaptive Numerical Compensation for Friction and Force Ripple in Permanent-Magnet Linear Motor,' IEEE Transactions on Magnetics, Vol. 38, No.1, pp. 221-228 https://doi.org/10.1109/20.990111
  3. Yao, B. and Xu, L., 2002, 'Adaptive Robust Motion Control of Linear Motors for Precision Manufacturing,' Mechatronics, Vol. 12, pp. 595-616 https://doi.org/10.1016/S0957-4158(01)00008-3
  4. Egami, T. and Tsuchiya, T., 1995, 'Disturbance Suppression Control with Preview Action of Linear DC Brushless Motor,' IEEE Transactions on Industrial Electronics, Vol. 42, No. 5, pp. 494-500 https://doi.org/10.1109/41.464612
  5. Famouri, P., 1992, 'Control of a Linear Permanent Magnet Brushless DC Motor via Exact Linearization Methods,' IEEE Transactions on Energy Conversion, Vol. 7, No. 3, pp. 544-551 https://doi.org/10.1109/60.148577
  6. Alter, D. M. and Tsao, T. C., 1996, 'Control of Linear Motors for Machine Tool Feed Drives: Design and Implementation of H$\infty$ Optimal Feedback Control,' ASME Journal of Dynamics Systems, Measurement, and Control, Vol. 118, pp. 649-658 https://doi.org/10.1115/1.2802339
  7. Lin, F. J., Wai, R.L. and Hong, C. M., 2001, 'Hybrid Supervisory Control using Recurrent Fuzzy Neural Network for Tracking Periodic Inputs,' IEEE Transactions on Neural Networks, Vol. 12, No. 1, pp. 68-90 https://doi.org/10.1109/72.896797
  8. Tan, K. K., Dou, H., Chen, Y. and Lee, T. H., 2001, 'High Precision Linear Motor Control via Relaytuning and Iterative Learning Based on Zero-Phase Filtering,' IEEE Transactions on Control Systems Technology, Vol. 9, No. 2, pp. 244-253 https://doi.org/10.1109/87.911376
  9. Shieh, N. C. and Tung, P. C., 2001, 'Robust Output Tracking Control of a Linear DC Motor for Transportation in Manufacturing System,' IEE Proceedings –Electric Power Applications, Vol. 148, No. 2, pp. 119-124 https://doi.org/10.1049/ip-epa:20010289
  10. Yao, B. and Xu, L., 2002, 'Adaptive Robust Motion Control of Linear Motors with Negligible Electrical Dynamics,' IEEE/ASME Transactions on Mechatronics, Vol. 6, No. 4, pp. 444-452 https://doi.org/10.1109/3516.974858
  11. Tan, Y., Chang, J. and Tan, H., 2003, 'Adaptive Backstepping Control and Friction Compensation for AC Servo with Inertia and Load Uncertainties,' IEEE Transactions on Industrial Electronics, Vol. 50, No. 5, pp. 944-952 https://doi.org/10.1109/TIE.2003.817574
  12. Pillay, P. and Krishnan, R., 1989, 'Modeling Simulation, and Analysis of Permanent Magnet Motor
  13. Ong, C., 1998, Dynamic Simulation of Electric Machinery using MATLAB/SIMULINK, Prentice Hall
  14. Canudas, C., Olsson, H., Astrom, K. J. and Lischinsky, P., 1995, 'A New Model for Control of Systems with Friction,' IEEE Transactions on Automatic Control, Vol. 40, No. 3, pp. 419-425 https://doi.org/10.1109/9.376053
  15. Astrom, K. J. and Wittenmark, B., 1995, Adaptive Control, Addison-Wesley, 2nd Ed
  16. Kanellakopoulos, I. and Krein, P. T., 1995, 'Integral-Action Nonlinear Control of Induction Motors,' Proceedings of the 12th IFAC World Congress, pp. 251-254
  17. Kim, J. H., 2003, Linear Motor Control Using DSP, Dong-il Press

Cited by

  1. Automatic Velocity Ripple Compensation Algorithm by Feedforward Control vol.30, pp.9, 2013, https://doi.org/10.7736/KSPE.2013.30.9.951