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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 708252, 14 pages
http://dx.doi.org/10.1155/2014/708252
Research Article

Distributed Wireless Networked Control for a Class of Lurie-Type Nonlinear Systems

College of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, China

Received 27 December 2013; Accepted 28 March 2014; Published 5 May 2014

Academic Editor: Ge Guo

Copyright © 2014 Wen Ren and Bugong Xu. 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

A new approach to solving the distributed control problem for a class of discrete-time nonlinear systems via a wireless neural control network (WNCN) is presented in this paper. A unified Lurie-type model termed delayed standard neural network model (DSNNM) is used to describe these nonlinear systems. We assume that all neuron nodes in WNCN which have limited energy, storage space, and computing ability can be regarded as a subcontroller, then the whole WNCN is characterized by a mesh-like structure with partially connected neurons distributed over a wide geographical area, which can be considered as a fully distributed nonlinear output feedback dynamic controller. The unreliable wireless communication links within WNCN are modeled by fading channels. Based on the Lyapunov functional and the S-procedure, the WNCN is solved and configured for the DSNNM to absolutely stabilize the whole closed-loop system in the sense of mean square with a disturbance attenuation index using LMI approach. A numerical example shows the effectiveness of the proposed design approaches.