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Discrete Dynamics in Nature and Society
Volume 2015 (2015), Article ID 867206, 13 pages
http://dx.doi.org/10.1155/2015/867206
Research Article

Fault Detection for Linear Discrete Time-Varying Descriptor Systems with Missing Measurements

Clean Energy Research and Technology Promotion Center, Dezhou University, Dezhou 253023, China

Received 18 October 2014; Accepted 19 November 2014

Academic Editor: Zidong Wang

Copyright © 2015 Guangfu Deng and Huihong Zhao. 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

This paper deals with the problem of fault detection for a class of linear discrete time-varying descriptor systems with missing measurements, and the missing measurements are described by a Bernoulli random binary switching sequence. We first translate the fault detection problem into an indefinite quadratic form problem. Then, a sufficient and necessary condition on the existence of the minimum is derived. Finally, an observer-based fault detection filter is obtained such that the minimum is positive and its parameter matrices are calculated recursively by solving a matrix differential equation. A numerical example is given to demonstrate the efficiency of the proposed method.