Browse > Article
http://dx.doi.org/10.5391/JKIIS.2004.14.2.247

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)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.14, no.2, 2004 , pp. 247-252 More about this Journal
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.
Keywords
Iterative Learning Control; Robustness; Convergence; Iteration-Domain Performance;
Citations & Related Records
연도 인용수 순위
  • Reference
1 K. H. Lee and Z. Bien, "Initial Condition Problem of Learning Control", IEE Proc. Part. D, Vol. 138, pp. 525-528, 1991.   DOI
2 S. Arimoto, S. Kawamura and F. Miyazaki, "Bettering Operation of Robots by Learning", Journal Robotic System, Vol. 1, pp. 123-140, 1984.   DOI
3 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.   DOI
4 J. E. Hauser, "Learning Control for a Class of Nonlinear Systems", Proc. 26th IEEE Conf. Decision and Control, pp. 859-860, 1987.
5 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.
6 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.
7 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.   DOI   ScienceOn
8 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.   DOI   ScienceOn
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.   DOI
10 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.
11 Z. Bien and K. M. Huh, "Higher-Order Iterative Learning Control Algorithm", IEE Proc. Part. D, Vol. 136, pp. 105-112, 1989.   DOI
12 A. W. Naylor and G. R. Sell, Linear Operator Theory in Engineering and Science, Holt, Rinehart and Winston, Inc., 1971.
13 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.   DOI   ScienceOn
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, "On the P-type Learning Control", IEEE Tr. on Automatic Control, Vol. 39, pp. 2298-2302, 1994.   DOI   ScienceOn
16 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.   DOI   ScienceOn
17 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.   DOI   ScienceOn