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Mathematical Problems in Engineering
Volume 2013, Article ID 856914, 12 pages
http://dx.doi.org/10.1155/2013/856914
Research Article

Fault Detection for a Class of Uncertain Linear Systems

School of Automation Engineering, Northeast Dianli University, Jilin 132012, China

Received 3 July 2013; Accepted 15 August 2013

Academic Editor: Bochao Zheng

Copyright © 2013 Qingyu Su and Jian Li. 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

Design problem of the fault detection filter for a class of uncertain feedback systems is discussed in this paper. The system under consideration is the model with the nonstandard parameter uncertain regions. The fault detection filter design problem is reduced to an optimized filter design problem, which maximizes the sensitivity of the fault in the fault cases and meets the disturbance attenuation performance in both fault-free cases and fault cases, simultaneously. A numerical example is used to demonstrate the effectiveness of the proposed design method.