A frequency domain analysis of a second order iterative learning control algorithm

A frequency domain analysis method of a second order iterative learning control (ILC) algorithm is considered. Using the notion of iterative systems bounds for stability are presented in the frequency domain for the second order term. The bounds are found using a geometrical approach based on the special structure of the transfer matrix in the iterative system. Two examples are included showing how the analysis method can be used in an application.

[1]  Roberto Horowitz,et al.  Learning Control of Robot Manipulators , 1993 .

[2]  W. Rudin Principles of mathematical analysis , 1964 .

[3]  Kevin L. Moore,et al.  Iterative Learning Control: An Expository Overview , 1999 .

[4]  P.M.J. Van den Hof,et al.  Selected topics in identification, modelling and control: Progress report on research activities in the Mechanical Enginnering Systems and Control Group. Vol. 2 , 1990 .

[5]  E. Rogers,et al.  2D systems theory applied to learning control systems , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[6]  D. de Roover,et al.  Synthesis of a robust iterative learning controller using an H/sub /spl infin// approach , 1996 .

[7]  Mikael Norrlöf,et al.  On Analysis and Implementation of Iterative Learning Control , 1998 .

[8]  David H. Owens,et al.  2D systems theory and applications-a maturing area , 1994 .

[9]  Yangquan Chen,et al.  Analysis of a high-order iterative learning control algorithm for uncertain nonlinear systems with state delays , 1998, Autom..

[10]  Suguru Arimoto,et al.  Bettering operation of Robots by learning , 1984, J. Field Robotics.

[11]  Tsutomu Mita,et al.  Iterative control and its application to motion control of robot arm - A direct approach to servo-problems , 1985, 1985 24th IEEE Conference on Decision and Control.

[12]  E. Rogers,et al.  ID representations and systems theory for a class of 2D linear systems , 1997, 1997 European Control Conference (ECC).

[13]  John J. Craig,et al.  Adaptive control of manipulators through repeated trials , 1984 .

[14]  Eric Rogers,et al.  Stability Analysis for Linear Repetitive Processes , 1992 .