Stability analysis of the simplest Takagi-Sugeno fuzzy control system using circle criterion

被引：51
作者：
Ban, Xiaojun [1 ]
Gao, X. Z.
Huang, Xianfin
Vasilakos, A. V.
机构：
[1] Harbin Inst Technol, Dept Control Theory & Engn, Harbin 150006, Peoples R China
[2] Helsinki Univ Technol, Inst Intelligent Power Elect, FIN-02150 Espoo, Finland
[3] Univ Thessaly, Volos, Greece
来源：
INFORMATION SCIENCES | 2007年 / 177卷 / 20期
关键词：
takagi-sugeno fuzzy controller; circle criterion; stability analysis; proportional controller; frequency response methods;
D O I：
10.1016/j.ins.2007.03.014
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we present two sufficient conditions in the frequency domain for the global stability analysis of the simplest Takagi-Sugeno (T-S) fuzzy control system, based on the circle criterion and its graphical interpretation. These conditions are significant in graphically designing the simplest T-S fuzzy controller in the frequency domain. Four numerical examples are provided to demonstrate the efficiency of our two frequency domain-based conditions. Furthermore, this T-S fuzzy controller and the linear proportional controllers are also compared. It is concluded that the simplest T-S fuzzy controller can outperform the linear proportional controllers in a noisy environment with external disturbances. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：4387 / 4409
页数：23
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