LMI conditions for local stability and stabilization of continuous-time T-S fuzzy systems

被引：0
|
作者：
Dong Hwan Lee
Young Hoon Joo
Myung Hwan Tak
机构：
[1] Purdue University,Department of Electrical and Computer Engineering
[2] Kunsan National University,Department of Control and Robotics Engineering
来源：
International Journal of Control, Automation and Systems | 2015年 / 13卷
关键词：
Domain of attraction; linear matrix inequality (LMI); Lyapunov function; nonlinear systems; Takagi-Sugeno (T-S) fuzzy systems;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：986 / 994
页数：8
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