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Mathematical Problems in Engineering
Volume 2014, Article ID 358601, 10 pages
http://dx.doi.org/10.1155/2014/358601
Research Article

On Fault Estimator Design for Linear Discrete Time-Varying Systems under Unreliable Communication Link

1School of Electrical Engineering, University of Jinan, Jinan 250022, China
2School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798
3School of Control Science and Engineering, Shandong University, Jinan 250061, China

Received 24 April 2014; Revised 3 July 2014; Accepted 6 July 2014; Published 17 July 2014

Academic Editor: Weihai Zhang

Copyright © 2014 Yueyang 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.

Abstract

This paper investigates the fixed-lag fault estimator design for linear discrete time-varying (LDTV) systems with intermittent measurements, which is described by a Bernoulli distributed random variable. Through constructing a novel partially equivalent dynamic system, the fault estimator design is converted into a deterministic quadratic minimization problem. By applying the innovation reorganization technique and the projection formula in Krein space, a necessary and sufficient condition is obtained for the existence of the estimator. The parameter matrices of the estimator are derived by recursively solving two standard Riccati equations. An illustrative example is provided to show the effectiveness and applicability of the proposed algorithm.