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Abstract and Applied Analysis
Volume 2013, Article ID 324741, 8 pages
Research Article

Dissipative Output Tracking Control of Linear Systems with Time Delay

1School of Science, Shenyang University of Technology, Shenyang, Liaoning 110870, China
2Institute of Systems Science, Northeastern University, Shenyang, Liaoning 110819, China
3Department of Mathematical and Statistical Sciences, University of Alberta, 116 Street and 85 Avenue, Edmonton, AB, Canada T6G 2G1
4College of Science, Shenyang JianZhu University, Shenyang, Liaoning 110168, China

Received 28 February 2013; Accepted 29 April 2013

Academic Editor: Guanglu Zhou

Copyright © 2013 Yi 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.


The problem of dissipative output tracking control of linear systems with time delay is investigated. Firstly, an augmented system is constructed to describe dissipative output tracking control error, and the concept of dissipative output tracking is defined. Based on this, some sufficient conditions are derived in terms of linear matrix inequalities (LMIs) technique, which ensure that the augmented system is dissipative and stable; then design methods of dissipative output tracking state-feedback controller are provided, and the desired controller gain can be expressed through the solutions of LMIs. Finally, a numerical simulation example is given to illustrate the validity of the proposed results.