IJPAM: Volume 52, No. 5 (2009)

ROBUST CONTROL FOR UNCERTAIN FUZZY SYSTEMS
WITH BOTH DISTRIBUTED DELAYS AND INPUT DELAYS

Yongmin Li$^1$, Lingli Wu$^2$, Yuming Chu$^3$, Shengyuan Xu$^4$
$^{1,4}$School of Automation
Nanjing University of Science and Technology
Jiangsu, Nanjing, 210094, P.R. CHINA
$^2$School of Educational Science and Technology
Huzhou Teachers College
Zhejiang, Huzhou, 313000, P.R. CHINA
$^3$Department of Mathematics
Huzhou Teachers College
Zhejiang, Huzhou, 313000, P.R. CHINA
$^3$e-mail: chuyuming@hutc.zj.cn


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