An efficient approach for reducing the conservatism of LMI-based stability conditions for continuous-time T-S fuzzy systems

被引：108

作者：

Xie, Xiang-Peng ^{[1
,2
]}

Liu, Zhen-Wei ^{[3
]}

Zhu, Xun-Lin ^{[4
]}

机构：

[1] Nanjing Univ Posts & Telecommun, Res Inst Adv Technol, Nanjing 210003, Jiangsu, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Peoples R China

[3] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Liaoning, Peoples R China

[4] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2015年 / 263卷

基金：

中国国家自然科学基金;

关键词：

Fuzzy systems; Slack variable technique; Stability analysis; Continuous-time Takagi-Sugeno (T-S) fuzzy model; NONQUADRATIC STABILIZATION CONDITIONS; LYAPUNOV FUNCTION; CONTROLLER SYNTHESIS; QUADRATIC STABILITY; NONLINEAR-SYSTEMS; DESIGN; MODELS;

D O I：

10.1016/j.fss.2014.05.020

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper deals with reducing the conservatism of stability conditions for continuous-time T-S fuzzy systems. Previous stability conditions are relaxed by further exploring the properties of the time derivatives of normalized fuzzy weighting functions and by introducing more slack matrix variables. By relying on analysis of the positive and negative characteristics of the time derivatives of normalized fuzzy weighting functions, some redundant terms are removed from the problem formulation. Furthermore, more slack matrix variables are introduced to enlarge the design space. Consequently, less conservative stability conditions are obtained. Finally, a well-known numerical example is provided to illustrate the effectiveness of the proposed result. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：71 / 81

页数：11

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