Robust Control for Nonlinear Friction Servo System Using Fuzzy Neural Network and Robust Friction State Observer

퍼지신경망과 강인한 마찰 상태 관측기를 이용한 비선형 마찰 서보시스템에 대한 강인 제어

  • Han, Seong-Ik (Department of Electric Automation, Suncheon Fist Coll.)
  • 한성익 (순천제일대학 전기자동화과)
  • Published : 2008.12.01

Abstract

In this paper, the position tracking control problem of the servo system with nonlinear dynamic friction is issued. The nonlinear dynamic friction contains a directly immeasurable friction state variable and the uncertainty caused by incomplete parameter modeling and its variations. In order to provide the efficient solution to these control problems, we propose the composite control scheme, which consists of the robust friction state observer, the FNN approximator and the approximation error estimator with sliding mode control. In first, the sliding mode controller and the robust friction state observer is designed to estimate the unknown internal state of the LuGre friction model. Next, the FNN estimator is adopted to approximate the unknown lumped friction uncertainty. Finally, the adaptive approximation error estimator is designed to compensate the approximation error of the FNN estimator. Some simulations and experiments on the servo system assembled with ball-screw and DC servo motor are presented. Results show the remarkable performance of the proposed control scheme. The robust friction state observer can successfully identify immeasurable friction state and the FNN estimator and adaptive approximation error estimator give the robustness to the proposed control scheme against the uncertainty of the friction parameters.

Keywords

References

  1. Canudas de Wit, C., Olsson, H. and Astrom, K. J., 'A New Model for Control of Systems with Friction,' IEEE Trans. on Automatic Control, Vol. 40, No. 3, pp. 419-425, 1995 https://doi.org/10.1109/9.376053
  2. Dupong, P., Hayward, V., Armstrong, B. and Altpeter, J., 'Single State Elasto-Plastic Friction Models,' IEEE Trans. on Automatic Control, Vol. 47, No. 5, pp. 787-792, 2002 https://doi.org/10.1109/TAC.2002.1000274
  3. Swevers, J., Al-Bender, F., Ganseman, C. and Prajogo, T., 'An Integrated Friction Model Structure with Improved Structure with Improved Presliding Behavior for Accurate Friction Model Structure,' IEEE Trans. on Automatic Control, Vol. 45, No. 4, pp. 675-686, 2002
  4. Al-Bender, F., Lampaert, V. and Swever, J., 'The Generalized Maxwell-slip Model: A Novel Model for Friction Simulation and Compensation,' IEEE Trans. on Automatic Control, Vol. 50, No. 11, pp. 1883-1887, 2005 https://doi.org/10.1109/TAC.2005.858676
  5. Choi, J. J., Han, S. I. and Kim, J. S., 'Development of A Novel Dynamic Friction Model and Precise Tracking Control Using Adaptive Back-stepping Sliding Mode Controller,' Mechatronics, Vol. 16, Issue 2, pp. 97-104, 2006 https://doi.org/10.1016/j.mechatronics.2005.10.004
  6. Mayergoyz, I. D., 'Mathematical models of hysteresis,' Springer-verlag, 1991
  7. Lin, C. T. and Lee, C. S. G., 'Neural Systems: A Neuro-Fuzzy Synergism to Intelligent Systems,' Prenctice-Hall, 1996
  8. Han, S. I., 'The Position Tracking Control on the XY Ball-screw Drive System with the Nonlinear Dynamic Friction,' J. of KSPE, Vol. 19, No. 2, pp. 51-61, 2002
  9. Leu, Y. G., Lee, T. T. and Wang, W. Y., 'On-line Tuning of Fuzzy-neural Networks for Adaptive Control of Nonlinear Dynamic Systems,' Systems, Man, and Cybernetics, Part B, IEEE Transactions on, Vol. 27, No. 6, pp. 1034-1043, 1997 https://doi.org/10.1109/3477.650065
  10. Lin, F. J., Hwang, W. J. and Wai, R. J., 'A Supervisory Fuzzy Neural Network Control System for Tracking Periodic Inputs,' Fuzzy Systems, IEEE Transactions on, Vol. 7, No. 1, pp. 41-52, 1997
  11. Wai, R. J. and Lin, F. J., 'Fuzzy Neural Network Sliding-mode Position Controller for Induction Servo Motor Drive,' IEE proc. Electric power applications, Vol. 1146, No. 3, pp. 297-308, 1999 https://doi.org/10.1049/ip-epa:19990290
  12. Slotine, J. E. and Li, W., 'Applied Nonlinear Control,' Prentice-Hall, 1991