LMI Conditions for Local Stability and Stabilization of Continuous-Time T-S Fuzzy Systems

被引：20
|
作者：
Lee, Dong Hwan [1 ]
Joo, Young Hoon [2 ]
Tak, Myung Hwan [2 ]
机构：
[1] Purdue Univ, Dept Elect & Comp Engn, W Lafayette, IN 47906 USA
[2] Kunsan Natl Univ, Dept Control & Robot Engn, Kunsan 573701, Chonbuk, South Korea
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2015年 / 13卷 / 04期
基金：
新加坡国家研究基金会;
关键词：
Domain of attraction; linear matrix inequality (LMI); Lyapunov function; nonlinear systems; Takagi-Sugeno (T-S) fuzzy systems; LYAPUNOV FUNCTION-APPROACH; NONQUADRATIC STABILIZATION; NONLINEAR-SYSTEMS; QUADRATIC STABILIZATION; PERFORMANCE; CONTROLLER; DESIGN;
D O I：
10.1007/s12555-014-0327-6
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 propose linear matrix inequality (LMI) formulations to analyze local stability and design controllers that locally stabilize continuous-time nonlinear systems represented by Takagi Sugeno (T-S) fuzzy systems. In order to estimate the domain of attraction (DA), the so-called fuzzy Lyapunov function is used to characterize the subsets of the DA as sublevel sets of the Lyapunov function. Quadratic bounds on the time-derivative of the membership functions are employed to derive the main results. Finally, examples are given to illustrate the proposed methods.
引用
收藏
页码：986 / 994
页数：9
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