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Journal of Applied Mathematics
Volume 2013, Article ID 245372, 9 pages
http://dx.doi.org/10.1155/2013/245372
Research Article

On Iterative Learning Control for Remote Control Systems with Packet Losses

1State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou 310027, China
2Department of Electric and Information Engineering, Shaoxing College of Arts and Sciences, Shaoxing 31200, China
3Department of Electrical and Computer Engineering, National University of Singapore, Singapore 117576

Received 16 May 2013; Accepted 8 October 2013

Academic Editor: Neal N. Xiong

Copyright © 2013 Chunping Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The problem of iterative learning control (ILC) is considered for a class of time-varying systems with random packet dropouts. It is assumed that an ILC scheme is implemented via a remote control system and that packet dropout occurs during the packet transmission between the ILC controller and the actuator of remote plant. The packet dropout is viewed as a binary switching sequence which is subject to the Bernoulli distribution. In order to eliminate the effect of packet dropouts on the convergence property of output error, the hold-input scheme is adopted to compensate the packet dropout at the actuator. It is shown that the hold-input scheme with average ILC can achieve asymptotical convergence along the iteration axis for discrete time-varying linear system. Numerical examples are provided to show the effectiveness of the proposed method.