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Mathematical Problems in Engineering
Volume 2013, Article ID 945705, 7 pages
http://dx.doi.org/10.1155/2013/945705
Research Article

Filter Design for Large-Scale Systems with Missing Measurements

1College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China
2School of Information and Control Engineering, Nanjing University of Information Science & Technology, Nanjing 210044, China

Received 29 May 2013; Accepted 22 July 2013

Academic Editor: Bochao Zheng

Copyright © 2013 Ying Zhou 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 is concerned with filter design problem for large-scale systems with missing measurements. The occurrence of missing measurements is assumed to be a Bernoulli distributed sequence with known probability. The new full-dimensional filter is designed to make the filter error system exponentially mean-square stable and achieve a prescribed performance. Sufficient conditions are derived in terms of linear matrix inequality (LMI) for the existence of the filter, and the parameters of filter are obtained by solving the LMI. Finally, the numerical simulation results illustrate the effectiveness of the proposed scheme.