A fuzzy Lyapunov approach to fuzzy control system design

被引：0
|
作者：
Tanaka, K [1 ]
Hori, T [1 ]
Wang, HO [1 ]
机构：
[1] Univ Electrocommun, Dept Mech Engn & Intelligent Syst, Chofu, Tokyo 182, Japan
来源：
PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6 | 2001年
关键词：
D O I：
暂无
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 paper discusses the stability of Takagi-Sugeno, fuzzy models via the so-called fuzzy Lyapunov function which is a multiple Lyapunov function. The fuzzy Lyapunov function is defined by fuzzily blending quadratic Lyapunov functions. Based on a fuzzy Lyapunov approach, we gives stability conditions for open-loop fuzzy systems. All the conditions derived here are represented in terms of linear matrix inequalities (LMIs) and contain upper bounds of the time derivative of premise membersihp functions as LMI variables. Hence, the treatment of the upper bounds play an important and effective role in system analysis and design. In addition, relaxed stability conditions are also derived by considering the property of the time derivative of premise membership functions. Several analysis and design examples illustrate the utility of the fuzzy Lyapunov approach.
引用
收藏
页码：4790 / 4795
页数：6
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