The analysis of the convergence speed for an iterative learning scheme

This paper presents an iterative learning scheme for a linear time-invariance (LTI) system. Based on the scheme, the influence of learning structure, learning laws and learning parameters on the convergence speed of iterative learning control (ILC) is discussed. Furthermore, the theoretical proof and simulation conclusions are provided, which is the theoretical instruction and designing guideline for practical applications of ILC.

[1]  Suguru Arimoto.  Robustness of learning control for robot manipulators , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[2]  Fumio Miyazaki,et al.  Robust leaning control , 1989, Proceedings of the 28th IEEE Conference on Decision and Control,.

[3]  Hak-Sung Lee,et al.  Study on robustness of iterative learning control with non-zero initial error , 1996 .

[4]  Dong-Hwan Hwang,et al.  A Study on the Robustness of a Pid-type Iterative Learning Controller against Initial State Error , 1999, Int. J. Syst. Sci..

[5]  Jianxin Xu,et al.  On the convergence speed of a class of higher-order ILC schemes , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[6]  X Ren.  LEARNING CONTROL WITH AN ARBITRARY INITIAL STATE , 1994 .

[7]  Jian-Xin Xu,et al.  Analysis of continuous iterative learning control systems using current cycle feedback , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[8]  Wei Yanding.  Research on Convergent Speed of Iterative Learning Control , 2001 .