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
收藏
页码：29 / 38
页数：10
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