HIGH-ORDER ILC WITH INITIAL STATE LEARNING FOR DISCRETE-TIME DELAYED SYSTEMS

Abstract

This article addresses an iterative learning control (ILC) design for a class of linear discrete-time systems with multiple time delays. In order to improve the tracking performance, we introduce a P-type high-order iterative learning algorithm that makes use of information from several previous iterations. An initial state learning scheme is proposed to eliminate the effect of the initialization error on the final tracking error. Furthermore, we establish a sufficient condition to ensure asymptotic convergence. A simulation example is also provided to illustrate the effectiveness of the proposed result.

KEYWORDS:

• discrete-time system
• high-order
• initial state learning
• iterative learning control (ILC)
• multiple time delays

ACKNOWLEDGMENTS

The work described in this article was partially supported by the National Natural Science Foundation of China (Grant Nos. 60974020, 60972155) and the Program for New Century Excellent Talents in University NCET-06-0764.