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Mathematical Problems in Engineering
Volume 2015, Article ID 841031, 13 pages
Research Article

Simultaneous Fault Detection and Control for Discrete-Time Systems via a Switched Scheme

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

Received 11 April 2014; Accepted 13 July 2014

Academic Editor: Ke Zhang

Copyright © 2015 Jian Li and Xingze Dai. 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 problem of simultaneous fault detection and control for linear systems with a switched scheme. The switched detector/controller is designed simultaneously and generates two signals such that it provides fault tolerance, especially including “destabilizing failure” meanwhile, it generates the residual signal to alarm the fault. When the faults are detected, the detector/controller is switched to reduce the effect of the faults. When the faults are removed, the detector/controller is switched to the original detector/controller to guarantee the control objective. In addition, it has time delay in detection of the faults; then the time-driven switching strategy for asynchronous case is included. Thus a mixed switching strategy is proposed. A two-step procedure is adopted to obtain the solutions through satisfying a set of linear matrix inequalities. Finally, an example is provided to demonstrate the effectiveness of the proposed design method.