Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 781542, 17 pages
http://dx.doi.org/10.1155/2012/781542
Research Article

Observer-Based Stabilization of Stochastic Systems with Limited Communication

Junli Wu,1 Hamid Reza Karimi,2 and Peng Shi3,4

1Mechanical Engineering Institute, Huaqiao University, Xiamen 360000, China
2Department of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, Norway
3Faculty of Advanced Technology, University of Glamorgan, Pontypridd CF37 1DL, UK
4School of Engineering and Science, Victoria University, Melbourne, VIC 8001, Australia

Received 6 May 2012; Accepted 7 June 2012

Academic Editor: Zidong Wang

Copyright © 2012 Junli Wu 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 studies the problem of observer-based stabilization of stochastic nonlinear systems with limited communication. A communication channel exists between the output of the plant and the input of the dynamic controller, which is considered network-induced delays, data packet dropouts, and measurement quantization. A new stability criterion is derived for the stochastic nonlinear system by using the Lyapunov functional approach. Based on this, the design procedure of observer-based controller is presented, which ensures asymptotic stability in the meansquare of the closed-loop system. Finally, an illustrative example is given to illustrate the effectiveness of the proposed design techniques.