Robust stabilization of Takagi-Sugeno fuzzy systems with parametric uncertainties using fuzzy region concept

Authors:
Zhicheng Ji;Yinghuan Zhou;Yanxia Shen
Affiliations:
Control Science and Engineering Research Center, Southern Yangtze University, Wuxi, Jiangsu, China;Control Science and Engineering Research Center, Southern Yangtze University, Wuxi, Jiangsu, China;Control Science and Engineering Research Center, Southern Yangtze University, Wuxi, Jiangsu, China
Venue:
ICIC'06 Proceedings of the 2006 international conference on Intelligent computing: Part II
Year:
2006

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Abstract

A robust controller design method based on the concept of fuzzy region is presented for Takagi-Sugeno (T-S) fuzzy systems with parametric uncertainties. The uncertain T-S fuzzy model is converted into uncertain T-S fuzzy region model. A relaxed sufficient condition is derived for robust stabilization by using Lyapunov function approach in the form of linear matrix inequalities (LMIs). Comparing with other similar conditions, the difficulty of solving LMIs is greatly reduced in this method. The efficiency of the method is illustrated through the simulation of a numerical uncertain fuzzy system.