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Abstract and Applied Analysis
Volume 2014, Article ID 860438, 14 pages
http://dx.doi.org/10.1155/2014/860438
Research Article

Discrete-Time Event-Triggered Control of Nonlinear Wireless Networked Control Systems

1College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
2Institute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing 210023, China

Received 10 April 2014; Accepted 4 May 2014; Published 20 May 2014

Academic Editor: Bo Shen

Copyright © 2014 Songlin Hu 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 investigates the problem of stabilization of nonlinear discrete-time networked control systems (NCSs) with event-triggering communication scheme in the presence of signal transmission delay. A Takagi-Sugeno (T-S) fuzzy model and parallel-distributed compensation (PDC) scheme are first employed to design a nonlinear fuzzy event-triggered controller for the stabilization of nonlinear discrete-time NCSs. The idea of the event-triggering communication scheme (i.e., a soft computation algorithm) under consideration is that the current sensor data is transmitted only when the current sensor data and the previously transmitted one satisfy a certain state-dependent trigger condition. By taking the signal transmission delay into consideration and using delay system approach, a T-S fuzzy delay system model is established to describe the nonlinear discrete-time NCSs with event-triggering communication scheme. Attention is focused on the design of fuzzy event-triggered controller which ensures asymptotic stability of the closed-loop fuzzy systems. Linear matrix inequality- (LMI-) based conditions are formulated for the existence of admissible fuzzy event-triggered controller. If these conditions are feasible, a desired fuzzy event-triggered controller can be readily constructed. A nonlinear mass-spring-damper mechanical system is presented to demonstrate the effectiveness of the proposed method.