New relaxed stability and stabilization conditions for continuous-time T-S fuzzy models

被引：31

作者：

Chen, Jun ^{[1
]}

Xu, Shengyuan ^{[1
]}

Zhang, Baoyong ^{[1
]}

Chu, Yuming ^{[2
]}

Zou, Yun ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China

[2] Huzhou Teachers Coll, Sch Sci, Huzhou 313000, Peoples R China

来源：

INFORMATION SCIENCES | 2016年 / 329卷

关键词：

Stabilization; Membership functions; Continuous-time Takagi-Sugeno model; Linear matrix inequality; LYAPUNOV FUNCTION-APPROACH; TAKAGI-SUGENO MODEL; QUADRATIC STABILITY; SYSTEMS; PERFORMANCE; DESIGN;

D O I：

10.1016/j.ins.2015.09.036

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 deals with the problems of stability and stabilization for continuous-time Takagi-Sugeno (T-S) models. By employing the order relation information of the membership functions (MFs), the transformation matrix and the pseudo-MF vector are obtained. The conventional continuous-time T-S fuzzy model is then transformed to a new compact T-S model, based on which relaxed stability and stabilization conditions are derived in the form of linear matrix inequalities. An improved approach to constructing the transformation matrix is presented, which could take full advantage of the order relation information of the MFs and further reduce the conservatism. Numerical examples are provided to illustrate the effectiveness of the proposed approach. (C) 2015 Published by Elsevier Inc.

引用

页码：447 / 460

页数：14

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