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Mathematical Problems in Engineering
Volume 2015, Article ID 379390, 10 pages
http://dx.doi.org/10.1155/2015/379390
Research Article

Decentralized Control for Large-Scale Systems with Uncertain Missing Measurements Probabilities

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

Received 4 March 2015; Accepted 14 May 2015

Academic Editor: Xinggang Yan

Copyright © 2015 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

For large-scale systems which are modeled as interconnection of networked control systems with uncertain missing measurements probabilities, a decentralized state feedback controller design is considered in this paper. The occurrence of missing measurements is assumed to be a Bernoulli random binary switching sequence with an unknown conditional probability distribution in an interval. A state feedback controller is designed in terms of linear matrix inequalities to make closed-loop system exponentially mean square stable and a prescribed performance is guaranteed. Sufficient conditions are derived for the existence of such controller. A numerical example is also provided to demonstrate the validity of the proposed design approach.