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Mathematical Problems in Engineering
Volume 2014, Article ID 679234, 7 pages
Research Article

Discrete-Time Preview Control Problem in Finite Horizon

1School of Information Engineering, Zhejiang University of Technology, Liuhe Road, Hangzhou 310023, China
2School of Control Science and Engineering, Shandong University, Jingshi Road 17923, Jinan 250061, China
3School of Electronic and Electrical Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798

Received 28 February 2014; Revised 12 April 2014; Accepted 12 April 2014; Published 5 May 2014

Academic Editor: Josep M. Rossell

Copyright © 2014 Hongxia Wang 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.


This paper considers the preview control problem for discrete-time systems. It investigates the problem via game theory and dynamic programming. Different from the existing results, on one hand, the proposed approach is suitable for dealing with the corresponding multiple preview channels problem; on the other hand, the approach provides a possibility in explaining how the preview controller improves the performance and why the performance will be saturated.