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Abstract and Applied Analysis
Volume 2014, Article ID 303840, 8 pages
Research Article

State Estimation for Wireless Network Control System with Stochastic Uncertainty and Time Delay Based on Sliding Mode Observer

1School of Automaton, Nanjing University of Science & Technology, Nanjing 210094, China
2Department of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, Norway
3Department of Mathematics, Yangzhou University, Yangzhou 225002, China
4Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia
5Information Overall Department, North Information Control Group Co., Ltd., Nanjing 211153, China

Received 31 January 2014; Revised 17 April 2014; Accepted 22 April 2014; Published 7 May 2014

Academic Editor: Shuping He

Copyright © 2014 Pengfei Guo 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.


State estimation problem is considered for a kind of wireless network control system with stochastic uncertainty and time delay. A sliding mode observer is designed for the system under the situation that no missing measurement occurs and system uncertainty happens in a stochastic way. The observer designed for the system can guarantee the system states will be driven onto the sliding surface under control law, and the sliding motion of system states on sliding surface will be stable. By constructing proper Lyapunov-Krasovskii functional, sufficient conditions are acquired via linear matrix inequality. Finally, simulation result is employed to show the effectiveness of the proposed method.