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Mathematical Problems in Engineering
Volume 2013, Article ID 836314, 9 pages
http://dx.doi.org/10.1155/2013/836314
Research Article

Control of Network-Based Systems with Packet Disordering and Packet Loss Compensation

1Lab of Operation and Control, Shenyang, University of Chemical Technology, Liaoning 110142, China
2Lab of Industrial Control Networks and Systems, Shenyang Institute of Automation, Chinese Academy of Sciences, Liaoning 110016, China
3College of Information Engineering, Shenyang University of Chemical Technology, Liaoning 110142, China
4Institute of Systems Science, Northeastern University, Shenyang, Liaoning 110004, China

Received 3 April 2013; Accepted 14 May 2013

Academic Editor: Guanghui Wen

Copyright © 2013 Jinna 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

Compensation scheme-based control is investigated for networked control systems with packet disordering and packet loss. Since the existence of packet disordering and packet loss inevitably degrades the control performance of networked control systems, it is worth studying a control scheme to compensate for them, such that the control performance can be improved. Thus, a compensation control strategy is first proposed following this direction. Next, a mathematical model of networked control systems with Markovian property is constructed due to the signals executed by the plant subject to Markovian chain. Based on it, a sufficient condition for stochastic stability of networked control systems with uncertain parameters as well as compensation strategy is presented, and an adaptive controller is designed based on linear matrix inequality (LMI) technique. Finally, a numerical example and simulations are given to illustrate the effectiveness of the proposed method.