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Journal of Control Science and Engineering
Volume 2015 (2015), Article ID 745137, 6 pages
Research Article

Novel Approach to Preview Control for a Class of Continuous-Time Systems

1School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China
2Department of Basic Course Teaching, Beijing Union University, Beijing 100101, China

Received 4 July 2014; Accepted 6 January 2015

Academic Editor: Petko Petkov

Copyright © 2015 Fucheng Liao 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 explicates a new method of designing a preview controller for a class of continuous-time systems. The augmented error system is constructed by the error system with the derivative of the tracking error signal, the state equation, and an identical equation of the derivative of the control input, which transforms a tracking problem into a regulation problem. Therefore, in the paper, the performance index contains the derivative of the control input. Based on the theory of optimal control, the regulator problem of the augmented error system is solved. Thus, the controller with preview compensation for the original system is deduced. The response speed of the closed-loop system is accelerated by the previewed demand output. A final numerical example is given to illustrate the validity of the proposed method.