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Mathematical Problems in Engineering
Volume 2013, Article ID 134935, 12 pages
http://dx.doi.org/10.1155/2013/134935
Research Article

Observer-Based Decentralized Control for Uncertain Interconnected Systems of Neutral Type

1Key Laboratory of Manufacturing Industrial Integrated Automation, Shenyang University, Shenyang 110044, China
2Department of Fundamental Teaching, Shenyang Institute of Engineering, Shenyang 110136, China
3Institute of Systems Science, Northeastern University, Shenyang, Liaoning 110004, China

Received 4 April 2013; Accepted 8 June 2013

Academic Editor: Rongni Yang

Copyright © 2013 Heli Hu 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.

Abstract

The observer-based decentralized control problem is investigated for a class of uncertain interconnected systems of neutral type. Using the singular value decomposition approach, a full-order observer is designed to guarantee the asymptotic stability of the error dynamic system. A novel mathematical technique is developed to solve this design problem. Sufficient condition for uncertain interconnected systems of neutral type to be asymptotic stable is established based on the singular value decomposition method. Furthermore, the desired gains of observer and controller are obtained by the explicit expressions in terms of some free parameters. Finally, an illustrative example is used to demonstrate the proposed approach, and the corresponding simulation results are given to elucidate the effectiveness.