Table of Contents
ISRN Applied Mathematics
Volume 2014, Article ID 705609, 11 pages
http://dx.doi.org/10.1155/2014/705609
Research Article

New Approach on Robust and Reliable Decentralized Tracking Control for Fuzzy Interconnected Systems with Time-Varying Delay

School of Information Science and Engineering, Northeastern University, Shenyang 110819, China

Received 22 August 2013; Accepted 20 October 2013; Published 5 February 2014

Academic Editors: L. Guo, A. C. Lee, and C. Lu

Copyright © 2014 Xinrui Liu 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 robust and reliable decentralized tracking control issue for the fuzzy large-scale interconnected systems with time-varying delay, which are composed of a number of T-S fuzzy subsystems with interconnections. Firstly, the ordinary fuzzy interconnected systems are equivalently transformed to the fuzzy descriptor systems; then, according to the Lyapunov direct method and the decentralized control theory of large-scale interconnected systems, the new linear matrix inequalities- (LMIs-) based conditions with some free variables are derived to guarantee the tracking performance not only when all control components are operating well, but also in the presence of some possible actuator failures. Moreover, there is no need for the precise failure parameters of the actuators, rather than the lower and upper bound. Finally, two simulation examples are provided to illustrate the effectiveness of the proposed method.