Relaxed stability conditions for the Takagi-Sugeno fuzzy system using a polynomial non-quadratic Lyapunov function

被引：7

作者：

Kim, Han Sol ^{[1
]}

Park, Jin Bae ^{[1
]}

Joo, Young Hoon ^{[2
]}

机构：

[1] Yonsei Univ, Sch Elect & Elect Engn, 50 Yonsei Ro, Seoul 03722, South Korea

[2] Kunsan Natl Univ, Dept Control Robot & Syst Engn, 558 Daehak Ro, Gunsan Si 54150, Jeollabuk Do, South Korea

来源：

IET CONTROL THEORY AND APPLICATIONS | 2016年 / 10卷 / 13期

基金：

新加坡国家研究基金会;

关键词：

stability; fuzzy systems; polynomials; Lyapunov methods; continuous time systems; sum-of-squares-based relaxed stability conditions; continuous-time Takagi-Sugeno fuzzy system; polynomial nonquadratic Lyapunov function; SOS-based relaxed stability conditions; continuous-time T-S fuzzy system; PNQLF; fuzzy weighting functions; NONLINEAR-SYSTEMS; STABILIZATION CONDITIONS; LOCAL STABILITY; DESIGN;

D O I：

10.1049/iet-cta.2015.1273

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 study, sum-of-squares (SOS)-based relaxed stability conditions for the continuous-time Takagi-Sugeno (T-S) fuzzy system are derived using a polynomial non-quadratic Lyapunov function (PNQLF). The proposed methods consist of two approaches. Like the previous studies, the first uses the upper bounds on a time derivative of the fuzzy weighting function (TDFWF), and the other directly uses the TDFWF in order to obtain relaxed results and enlarge the domain of attraction. Moreover, unlike the conventional non-quadratic Lyapunov function, the newly proposed PNQLF uses different fuzzy weighting functions from those of the system in order to solve the existing problems. Finally, the effectiveness of the proposed methods is demonstrated by some numerical examples.

引用

页码：1590 / 1599

页数：10

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