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Mathematical Problems in Engineering
Volume 2014, Article ID 690461, 9 pages
Research Article

Fault Detection for Network Control Systems with Multiple Communication Delays and Stochastic Missing Measurements

1School of Automation, Nanjing University of Science & Technology, Nanjing 210094, China
2Information Overall Department, North Information Control Group Co., Ltd., Nanjing 211153, China
3Department of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, Norway

Received 2 January 2014; Accepted 3 March 2014; Published 1 April 2014

Academic Editor: Xudong Zhao

Copyright © 2014 Jie 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 fault detection problem for a class of network control systems (NCSs) with multiple communication delays and stochastic missing measurements. The missing measurement phenomenon occurs in a random way and the occurrence probability for each measurement output is governed by an individual random variable. Besides, the multiple communication delay phenomenon reflects that networked control systems have different communication delays when the signals are transferred via different channels. We aim to design a fault detection filter so that the overall fault detection dynamics is exponentially stable in the mean square. By constructing proper Lyapunov-Krasovskii functional, we acquire sufficient conditions to guarantee the stability of the fault detection filter for the discrete systems, and the filter parameters are also derived by solving linear matrix inequality. Finally, an illustrative example is provided to show the usefulness and effectiveness of the proposed design method.