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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 569878, 10 pages
Research Article

Sampled-Data Control of Singular Systems with Time Delays

1Shanghai Jiao Tong University, Shanghai, China
2Jimei University, No. 1 Jiageng Road, Jimei, Xiamen, 361000 Fujian, China

Received 24 November 2013; Revised 26 January 2014; Accepted 13 February 2014; Published 3 April 2014

Academic Editor: Qun Lin

Copyright © 2014 Zheng Minjie 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 sampled-data controller design for singular systems with time delay. It is assumed that the sampling periods are arbitrarily varying but bounded. A time-dependent Lyapunov function is proposed, which is positive definite at sampling times but not necessarily positive definite inside the sampling intervals. Combining input delay approach with Lyapunov method, sufficient conditions are derived which guarante that the singular system is regular, impulse free, and exponentially stable. Then, the existence conditions of desired sampled-data controller can be obtained, which are formulated in terms of strict linear matrix inequality. Finally, numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.