Relaxed stability for T-S fuzzy systems using line-integral fuzzy lyapunov function

被引：0
|
作者：
Jeung E.T. [1 ]
机构：
[1] Control and Instrumentation Engineering, Changwon National University
来源：
Journal of Institute of Control, Robotics and Systems | 2020年 / 26卷 / 03期
关键词：
Definite matrix; Line-integral fuzzy Lyapunov function; LMI; Multi-dimensional fuzzy summation; T-S fuzzy system;
D O I：
10.5302/J.ICROS.2020.20.0009
中图分类号：
学科分类号：
摘要：
This study addresses the problem of the stability analysis for continuous-time T-S (Takagi-Sugeno) fuzzy systems. The proposed stability condition is based on a line-integral fuzzy Lyapunov function and multi-dimensional fuzzy summations. The property of definite matrices and the nonnegativeness of the membership functions were used to obtain a relaxed stability condition. The stability conditions for the T–S fuzzy systems were represented in terms of LMIs (Linear Matrix Inequalities). As a result, the proposed sufficient stability conditions were less conservative than those in the previous results [11]. A numerical example was used to illustrate the achieved improvement. © ICROS 2020.
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页码：148 / 153
页数：5
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