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Mathematical Problems in Engineering
Volume 2013, Article ID 609236, 11 pages
Research Article

Modeling and Output Feedback Control of Networked Control Systems with Both Time Delays; and Packet Dropouts

1Shenzhen Key Laboratory of Urban Rail Transit, College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen 518060, China
2Key Laboratory of Autonomous Systems and Network Control, Ministry of Education, School of Control Science and Engineering, South China University of Technology, Guangzhou 510640, China

Received 12 January 2013; Accepted 13 March 2013

Academic Editor: Yang Tang

Copyright © 2013 Li Qiu 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.


This paper is concerned with the problem of modeling and output feedback controller design for a class of discrete-time networked control systems (NCSs) with time delays and packet dropouts. A Markovian jumping method is proposed to deal with random time delays and packet dropouts. Different from the previous studies on the issue, the characteristics of networked communication delays and packet dropouts can be truly reflected by the unified model; namely, both sensor-to-controller (S-C) and controller-to-actuator (C-A) time delays, and packet dropouts are modeled and their history behavior is described by multiple Markov chains. The resulting closed-loop system is described by a new Markovian jump linear system (MJLS) with Markov delays model. Based on Lyapunov stability theory and linear matrix inequality (LMI) method, sufficient conditions of the stochastic stability and output feedback controller design method for NCSs with random time delays and packet dropouts are presented. A numerical example is given to illustrate the effectiveness of the proposed method.