A new fuzzy Lyapunov function approach for a Takagi-Sugeno fuzzy control system design

被引：386

作者：

Rhee, BJ ^{[1
]}

Won, S ^{[1
]}

机构：

[1] Pohang Univ Sci & Technol, Dept Elect & Elect Engn, Pohang 790784, Gyungbuk, South Korea

来源：

FUZZY SETS AND SYSTEMS | 2006年 / 157卷 / 09期

关键词：

fuzzy Lyapunov function; Takagi-Sugeno fuzzy control system; stability analysis; fuzzy controller design;

D O I：

10.1016/j.fss.2005.12.020

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, a new fuzzy Lyapunov function approach is presented for a class of continuous-time Takagi-Sugeno fuzzy control system. The proposed fuzzy Lyapunov function is formulated as a line-integral of a fuzzy vector which is a function of the state, and it can be regarded as the work done from the origin to the current state in the fuzzy vector field. Unlike the approaches using a fuzzy blending of multiple quadratic Lyapunov functions, the time-derivatives of membership functions do not appear in the proposed approach. The effectiveness of the proposed approach is shown through numerical examples. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：1211 / 1228

页数：18

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