Relaxed stability and performance conditions for Takagi-Sugeno fuzzy systems with knowledge on membership function overlap

被引：135
|
作者：
Sala, Antonio [1 ]
Arino, Carlos [1 ]
机构：
[1] Univ Politecn Valencia, Dept Syst Engn & Control, Valencia 46022, Spain
来源：
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS | 2007年 / 37卷 / 03期
关键词：
linear matrix inequality (LMI); nonlinear control; parallel distributed compensation (PDC); quadratic stability; relaxed condition; Takagi-Sugeno (TS) fuzzy control;
D O I：
10.1109/TSMCB.2006.887949
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This correspondence presents a relaxation of some earlier linear matrix inequality (LMI) conditions, which allow setting up less conservative stability or performance conditions for Takagi-Sugeno fuzzy models. Unlike the previous literature, this correspondence takes into account the knowledge of the membership functions' shape by considering bounds on them and their cross products (interpreted as an overlap measure), introducing auxiliary LMI variables. Numerical examples illustrate the achieved improvements.
引用
收藏
页码：727 / 732
页数：6
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