IJPAM: Volume 52, No. 5 (2009)
WITH BOTH DISTRIBUTED DELAYS AND INPUT DELAYS





Nanjing University of Science and Technology
Jiangsu, Nanjing, 210094, P.R. CHINA

Huzhou Teachers College
Zhejiang, Huzhou, 313000, P.R. CHINA

Huzhou Teachers College
Zhejiang, Huzhou, 313000, P.R. CHINA

Abstract.This paper deals with the problems of robust control for uncertain Takagi-Sugeno (T-S) fuzzy systems with both distributed delays and input delays. The uncertainties are time-varying but norm-bounded. The purpose is to design state feedback fuzzy controllers such that the resulting closed-loop system is robustly stable. Sufficient conditions in the form of linear matrix inequality (LMI) for the solvability of the problem are obtained by utilizing a proper Lyapunov functional together with some matrix transformation techniques. These LMIs can easily be solved in Matlab Toolbox, and thus give an convenient way to construct the desired controller.
Received: July 24, 2008
AMS Subject Classification: 93D09
Key Words and Phrases: distributed delays, linear matrix inequality, robust control, Takagi-Sugeno (T-S) fuzzy systems
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 52
Issue: 5