Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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2nd-order PD-type Learning Control Algorithm

  • Kim, Yong-Tae (Department of Information ＆ Control Engineering, Hankyong National University) ;
  • Zeungnam Bien (Department of Electrical Engineering and Computer Science, KAIST)
  • Published : 2004.04.01
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Abstract

In this paper are proposed 2nd-order PD-type iterative learning control algorithms for linear continuous-time system and linear discrete-time system. In contrast to conventional methods, the proposed learning algorithms are constructed based on both time-domain performance and iteration-domain performance. The convergence of the proposed learning algorithms is proved. Also, it is shown that the proposed method has robustness in the presence of external disturbances and the convergence accuracy can be improved. A numerical example is provided to show the effectiveness of the proposed algorithms.

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References

  1. S. Arimoto, S. Kawamura and F. Miyazaki, "Bettering Operation of Robots by Learning", Journal Robotic System, Vol. 1, pp. 123-140, 1984. https://doi.org/10.1002/rob.4620010203
  2. S. Arimoto, "Mathematical Theory of Learning with Applications to Robot Control", in Adaptive and Learning Systems, edited by K. S. Narendra, New York: Plenum Press, 1986.
  3. J. E. Hauser, "Learning Control for a Class of Nonlinear Systems", Proc. 26th IEEE Conf. Decision and Control, pp. 859-860, 1987.
  4. M. Kawato, Y. Uno, M. Isobe and R. Suzuki, "A Hierarchical Neural Network Model for Voluntary Movement with Application to Robotics", IEEE Control Systems Magazine, Vol. 8, pp. 8-16, 1988. https://doi.org/10.1109/37.1867
  5. P. Bondi, G. Casalina and L. Gambardella, "On the Iterative Learning Control Theory for Robotic Manipulators", IEEE J. of Robotics Automation, Vol. 4, pp. 14-21, 1988.
  6. S. R. Oh, Z. Bien and I. H. Suh, "An Iterative Learning Control Method With Application For The Robot Manipulator", IEEE J. Robotics Automation, Vol. 4, pp. 508-514, 1988. https://doi.org/10.1109/56.20435
  7. Z. Bien and K. M. Huh, "Higher-Order Iterative Learning Control Algorithm", IEE Proc. Part. D, Vol. 136, pp. 105-112, 1989. https://doi.org/10.1049/ip-d.1989.0016
  8. Z. Bien, D. H. Hwang and S.R. Oh, "A Nonlinear Iterative Learning Method for Robot Path Control", Robotica, Vol. 9, pp. 387-392, 1991. https://doi.org/10.1017/S0263574700000564
  9. D. H. Hwang, Z. Bien and S. R. Oh, "Iterative Learning Control Method For Discrete-time Dynamic Systems", IEE Proc. Part. D, Vol. 138, pp. 139-144, 1991. https://doi.org/10.1049/ip-d.1991.0018
  10. K. H. Lee and Z. Bien, "Initial Condition Problem of Learning Control", IEE Proc. Part. D, Vol. 138, pp. 525-528, 1991. https://doi.org/10.1049/ip-d.1991.0073
  11. G. Heinzinger, D. Fenwick, B. Paden and F. Miyazaki, "Stability of Learning Control with Disturbances and Uncertain Initial Conditions", IEEE Tr. on Automatic Control, Vol. 37, pp. 110-114, 1992. https://doi.org/10.1109/9.109644
  12. J. W. Lee, H. S. Lee and Z. Bien, "Iterative Learning Control with Feedback Using Fourier Series with Application to Robot Trajectory Tracking", Robotica, Vol. 11, pp. 291-298, 1993. https://doi.org/10.1017/S0263574700016544
  13. S. S. Saab, "On the P-type Learning Control", IEEE Tr. on Automatic Control, Vol. 39, pp. 2298-2302, 1994. https://doi.org/10.1109/9.333780
  14. S. K. Tso and L. X. Y. Ma, "A Self-Contained Iterative Learning Controller for Feedback Control of Linear Systems", Proc. of the Asian Control Conference, Vol. 1, pp. 545-548, 1994.
  15. S. S. Saab, "A Discrete-Time Learning Control Algorithm for a Class of Linear Time-Invariant Systems", IEEE Tr. on Automatic Control, Vol. 40, pp. 1138-1142, 1995. https://doi.org/10.1109/9.388702
  16. H. S. Lee and Z. Bien, "Study on Robustness of Iterative Learning Control with Non-zero Initial Error", Int. Journal of Control, Vol. 63, pp. 345-359, 1996.
  17. A. W. Naylor and G. R. Sell, Linear Operator Theory in Engineering and Science, Holt, Rinehart and Winston, Inc., 1971.