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Mathematical Problems in Engineering
Volume 2013, Article ID 218682, 7 pages
http://dx.doi.org/10.1155/2013/218682
Research Article

Observer-Based Feedback Stabilization of Networked Control Systems with Random Packet Dropouts

School of Computer Science and Technology, China University of Mining and Technology, Xuzhou 221116, China

Received 27 March 2013; Accepted 13 May 2013

Academic Editor: Tingwen Huang

Copyright © 2013 Pengpeng Chen and Shouwan Gao. 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 observer-based feedback stabilization of networked control systems (NCSs) with random packet dropouts. Both sensor-to-controller (S/C) and controller-to-actuator (C/A) packet dropouts are considered, and their behavior is assumed to obey the Bernoulli random binary distribution. The hold-input strategy is adopted, in which the previous packet is used if the packet is lost. An observer-based feedback controller is designed, and sufficient conditions for stochastic stability are derived in the form of linear matrix inequalities (LMIs). A numerical example illustrates the effectiveness of the results.