Neural Robust Control for Perturbed Crane Systems

  • Cho Hyun-Cheol (Electrical Engineering Dept./260, University of Nevada-Reno) ;
  • Fadali M.Sami (Electrical Engineering Dept./260, University of Nevada-Reno) ;
  • Lee Young-Jin (Department of Electrical Instrument and Control, Korea Aviation Polytechnic College) ;
  • Lee Kwon-Soon (Department of Electrical Engineering, Dong-A University)
  • 발행 : 2006.05.01

초록

In this paper, we present a new control methodology for perturbed crane systems. Nonlinear crane systems are transformed to linear models by feedback linearization. An inverse dynamic equation is applied to compute the system PD control force. The PD control parameters are selected based on a nominal model and are therefore suboptimal for a perturbed system. To achieve the desired performance despite model perturbations, we construct a neural network auxiliary controller to compensate for modeling errors and disturbances. The overall control input is the sum of the nominal PD control and the neural auxiliary control. The neural network is iteratively trained with a perturbed system until acceptable performance is attained. We apply the proposed control scheme to 2- and 3-degree-of-freedom (D.O.F.) crane systems, with known bounds on the payload mass. The effectiveness of the control approach is numerically demonstrated through computer simulation experiments.

키워드

참고문헌

  1. Fang, Y., Zergeroglu, E., Dixon, W. E. and Dawson, D. M., 2001, 'Nonlinear Coupling Control Laws for an Overhead Crane System,' Proc. of IEEE Conference on Control Applications, pp. 639 - 644 https://doi.org/10.1109/CCA.2001.973939
  2. Fang, Y., Dixon, W. E., Dawson, D. M. and Zergeroglu, E., 2003, 'Nonlinear Coupling Control Laws for an Underactuated Overhead Crane System,' IEEE/ASME Trans. on Meachatronics, Vol. 8, No. 3, pp.418-423 https://doi.org/10.1109/TMECH.2003.816822
  3. Fantoni, I., Lozano, R. and Spong, M. W., 2000, 'Energy Based Control of the Pendubot,' IEEE Trans. on Automatic Control, Vol. 45, pp.725-729 https://doi.org/10.1109/9.847110
  4. Guez, A., Eilbert, J. L. and Kam, M., 1988, 'Neural Network Architecture for Control,' IEEE Control Systems Magazine, Vol. 8, No. 2, pp.22-25 https://doi.org/10.1109/37.1869
  5. Hunt, L. R. and Meyer, G., 1983, 'Global Transformations of Nonlinear Systems,' IEEE Trans. on Automatic Control, Vol. 28, No. 1, pp. 24-31 https://doi.org/10.1109/TAC.1983.1103137
  6. Khalil, H. K., 1996, Nonlinear Systems, Pren?tice Hall, New Jersey
  7. Lee, H., 1998, 'Modeling and Control of a Three-Dimensional Overhead Cranes,' Journal of Dynamic Systems, Measurement, and Control, Vol. 120, pp. 471-476 https://doi.org/10.1115/1.2801488
  8. Martindale, S. C., Dawson, D. M., Zhu, J. and Rahn, C., 1995, 'Approximate Nonlinear Control for a Two Degree of Freedom Overhead Crane : Theory and Experimentation,' Proc. of American Control Conference, pp. 301-305 https://doi.org/10.1109/ACC.1995.529257
  9. Moustafa, K. A. F. and Ebeid, A. M., 1988, 'Nonlinear Modeling and Control of Overhead Crane Load Sway,' Journal of Dynamic Systems, Measurement, and Control, Vol. 110, pp. 266-271 https://doi.org/10.1115/1.3152680
  10. Slotine, J. E. and Li, W., 1991, Applied nonlinear control, Prentice Hall, New Jersey
  11. Yoshida, K. and Kawabe, H., 1992, 'A Design of Saturating Control with a Guaranteed Cost and its Application to the Crane Control Systems,' IEEE Trans. on Automatic Control, Vol. 37, pp. 121-127 https://doi.org/10.1109/9.109646
  12. Yu, J., Lewis, F. L. and Huang, T., 1995, 'Nonlinear Feedback Control of a Gantry Crane,' Proc. of American Control Conference, pp. 4310-4315 https://doi.org/10.1109/ACC.1995.532748