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Mathematical Problems in Engineering
Volume 2014, Article ID 513765, 14 pages
Research Article

Finite-Time Fault Detection for Large-Scale Networked Systems with Randomly Occurring Nonlinearity and Fault

1School of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan 430081, China
2School of Automation, Huazhong University of Science and Technology, Wuhan 430074, China

Received 14 January 2014; Accepted 15 March 2014; Published 27 April 2014

Academic Editor: Housheng Su

Copyright © 2014 Yong 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 finite-time fault detection problem is investigated for a class of nonlinear quantized large-scale networked systems with randomly occurring nonlinearities and faults. A nonlinear Markovian jump system model with partially unknown transition probabilities is employed to describe this Makov data assignment pattern. Based on obtained model, in finite-time stable framework, the desired mode-dependent fault detection filters are constructed such that the augmented error systems are finite-time stochastically stable with attenuation level. Especially, the sufficient conclusions provide quantitative relationship between network characteristic, quantization level, and finite-time system parameter with finite-time fault detection performance. The effectiveness of the proposed methods is demonstrated by simulation examples.