Local Stability and Local Stabilization of Discrete-time T-S Fuzzy Systems with Time-delay

被引：21

作者：

Lee, Donghwan ^{[1
]}

Joo, Young Hoon ^{[2
]}

Ra, In-Ho ^{[3
]}

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

[3] Kunsan Natl Univ, Sch Comp Informat & Commun Engn, Kunsan 573701, Chonbuk, South Korea

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2016年 / 14卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Domain of attraction; Lyapunov function; nonlinear systems; Takagi-Sugeno (T-S) fuzzy systems; time-delay; INTELLIGENT DIGITAL REDESIGN; LYAPUNOV FUNCTION-APPROACH; H-INFINITY CONTROL; NONLINEAR-SYSTEMS; NONQUADRATIC STABILIZATION; QUADRATIC STABILIZATION; CONTROLLER SYNTHESIS; PERFORMANCE; DESIGN;

D O I：

10.1007/s12555-015-2006-7

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The goal of this paper is to propose linear matrix inequality (LMI) formulations to analyze the local stability and local stabilization of discrete-time nonlinear systems represented by Takagi-Sugeno (T-S) fuzzy systems with time-delay. In order to estimate the domain of attraction (DA) of the time-delay systems, the so-called fuzzy Lyapunov-Krasovskii functionals are used to characterize the subsets of the DA as sublevel sets of the Lyapunov-Krasovskii functionals. We use the information of the variation rates of the membership functions to obtain less conservative results. Finally, examples are given to illustrate the proposed methods.

引用

页码：29 / 38

页数：10

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