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Mathematical Problems in Engineering
Volume 2013, Article ID 815329, 12 pages
Research Article

Fault Detection for Nonlinear Impulsive Switched Systems

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

Received 3 April 2013; Revised 12 May 2013; Accepted 12 May 2013

Academic Editor: Xiaojie Su

Copyright © 2013 Jian Li 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 the fault detection problem for nonlinear impulsive switched systems. Fault detection filters are designed such that the augmented systems are stable, and the residual signal generated by the filters achieves the -gain for disturbances and guarantees the performance for faults. Sufficient conditions for the solvability of this problem are formulated in terms of linear matrix inequalities; furthermore, the filter gains are characterized by a convex optimization problem. A simulation on a continuous stirred tank reactor control system is given to demonstrate the effectiveness of the proposed methods.