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

被引：30

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

共 35 条

[1] Generalized Nonquadratic Stability of Continuous-Time Takagi-Sugeno Models
Bernal, Miguel
Guerra, Thierry Marie
[J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2010, 18 (04) : 815 - 822
[2] A membership-function-dependent approach for stability analysis and controller synthesis of Takagi-Sugeno models
Bernal, Miguel
Guerra, Thierry Marie
Kruszewski, Alexandre
[J]. FUZZY SETS AND SYSTEMS, 2009, 160 (19) : 2776 - 2795
[3] Relaxed stabilization conditions for continuous-time Takagi-Sugeno fuzzy control systems
Chang, Xiao-Heng
Yang, Guang-Hong
[J]. INFORMATION SCIENCES, 2010, 180 (17) : 3273 - 3287
[4] Derakhshan SF, 2014, INT J INNOV COMPUT I, V10, P1567
[5] Stabilization of Takagi-Sugeno Model via Nonparallel Distributed Compensation Law
Ding, Baocang
[J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2010, 18 (01) : 188 - 194
[6] Stability analysis of discrete-time fuzzy dynamic systems based on piecewise Lyapunov functions
Feng, G
[J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2004, 12 (01) : 22 - 28
[7] Figueiredo K, 2014, INT J INNOV COMPUT I, V10, P1471
[8] Fuzzy control turns 50: 10 years later
Guerra, Thierry M.
Sala, Antonio
Tanaka, Kazuo
[J]. FUZZY SETS AND SYSTEMS, 2015, 281 : 168 - 182
[9] Non-quadratic local stabilization for continuous-time Takagi-Sugeno models
Guerra, Thierry Marie
Bernal, Miguel
Guelton, Kevin
Labiod, Salim
[J]. FUZZY SETS AND SYSTEMS, 2012, 201 : 40 - 54
[10] LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form
Guerra, TM
Vermeiren, L
[J]. AUTOMATICA, 2004, 40 (05) : 823 - 829

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