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Mathematical Problems in Engineering
Volume 2012, Article ID 860489, 22 pages
Research Article

Fault Diagnosis Observer Design for Discrete-Time Delayed Complex Interconnected Networks with Linear Coupling

1School of Information Science and Engineering, Northeastern University, Liaoning, Shenyang 110004, China
2Department of Electrical Engineering, Shenyang Institute of Engineering, Shenyang 110136, China
3Department of Mathematics, Dalian Jiaotong University, Dalian 116028, China

Received 31 August 2012; Accepted 17 October 2012

Academic Editor: Bin Jiang

Copyright © 2012 Zhanshan Wang 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.


Fault diagnosis for a class of discrete-time delayed complex interconnected networks with linear coupling in the case of actuator fault is studied. For the case of unavailability of network state, a state observer is first designed. Then a fault diagnosis observer is designed to detect the actuator fault on the basis of online adaptive approximator, which can approximate the unmodeled dynamics of the complex networks. Lastly, by choosing a suitable threshold, the actuator fault can be detected. A numerical simulation is used to show the effectiveness of the proposed method.