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Mathematical Problems in Engineering
Volume 2013, Article ID 839108, 6 pages
Research Article

Control for Flexible Spacecraft with Time-Varying Input Delay

1School of Instrumentation Science and Opto-Electronics Engineering, Beihang University, Beijing 100191, China
2Department of Information and Communication, Nanjing University of Information Science and Technology, Nanjing, Jiangsu 210044, China

Received 1 February 2013; Accepted 15 March 2013

Academic Editor: Yang Yi

Copyright © 2013 Ran Zhang 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 is concerned with control problem for flexible spacecraft with disturbance and time-varying control input delay. By constructing an augmented Lyapunov functional with slack variables, a new delay-dependent state feedback controller is obtained in terms of linear inequality matrix. These slack variables can make the design more flexible, and the resultant design also can guarantee the asymptotic stability and attenuation level of closed-loop system. The effectiveness of the proposed design method is illustrated via a numerical example.