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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 189013, 8 pages
http://dx.doi.org/10.1155/2015/189013
Research Article

The Design of Robust Controller for Networked Control System with Time Delay

1College of Computer Science & Technology, Harbin University of Science & Technology, Harbin 150080, China
2School of Computer and Control Engineering, Qiqihar University, Qiqihar, Heilongjiang 161000, China

Received 13 August 2014; Revised 5 November 2014; Accepted 17 November 2014

Academic Editor: Jinhui Zhang

Copyright © 2015 Zhongda Lu 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 considers the stability and control problem of networked control systems with time delay. Taking into account the influence of network with delay, unknown input disturbance, and uncertainties of the system modeling, meanwhile we establish a precise, closed-loop model for networked control systems with time delay. By selecting a proper Lyapunov-Krasovskii function and using Lyapunov theorem, a sufficient condition for stability of the system in the form of LMI is demonstrated, corresponding controller parameters are acquired, and the convergence of the control algorithm is proved. The simulation example shows that the construction of the network robust control system with time delay indeed improves the stability performance of the system, which indicates the effectiveness of the design.