Asymptotically necessary and sufficient conditions for Takagi-Sugeno models using generalized non-quadratic parameter-dependent controller design

被引：34

作者：

Marquez, Raymundo ^{[1
,2
]}

Guerra, Thierry Marie ^{[1
]}

Bernal, Miguel ^{[2
]}

Kruszewski, Alexandre ^{[3
]}

机构：

[1] Univ Valenciennes & Hainaut Cambresis, F-59313 Le Mt Houy, Valenciennes, France

[2] Sonora Inst Technol, 5 Febrero 818 Sur, Obregon 85000, Mexico

[3] Ecole Cent Lille, CRIStAL UMR CNRS 9189, BP 48, F-59651 Lille, France

来源：

FUZZY SETS AND SYSTEMS | 2017年 / 306卷

关键词：

Takagi-Sugeno model; Non-quadratic Lyapunov function; Linear matrix inequality; Non -parallel distributed compensation; LYAPUNOV FUNCTION-APPROACH; FUZZY CONTROL; STABILITY CONDITIONS; QUADRATIC STABILITY; NONLINEAR-SYSTEMS; LOCAL STABILITY; LMI CONDITIONS; STABILIZATION; COMPENSATION; REDUCTION;

D O I：

10.1016/j.fss.2015.12.012

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Results in this paper generalize recent approaches on non-quadratic controller design for Takagi-Sugeno models based on a matrix transformation. Conditions thus obtained depend on a single parameter which allows an efficient search of feasible solutions via linear matrix inequalities; moreover, they include and outperform former advances, such as Polya's approaches on the same framework. Some examples are included to illustrate the proposed generalization. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：48 / 62

页数：15

共 34 条

[1] Improvements on local non-quadratic stability of Takagi-Sugeno models
Sala, Antonio
Bernal, Miguel
Jaadari, Abdelhafidh
Guerra, Thierry-Marie
2010 IEEE INTERNATIONAL SYMPOSIUM ON INTELLIGENT CONTROL, 2010, : 101 - 106
[2] NON-QUADRATIC PERFORMANCE DESIGN FOR TAKAGI-SUGENO FUZZY SYSTEMS
Bernal, Miguel
Husek, Petr
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2005, 15 (03) : 383 - 391
[3] Non-quadratic stabilization of Takagi-Sugeno models: a local point of view
Bernal, Miguel
Guerra, Thierry-Marie
Jaadari, Abdelhafidh
2010 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE 2010), 2010,
[4] Robust non-quadratic static output feedback controller design for Takagi-Sugeno systems using descriptor redundancy
Bouarar, Tahar
Guelton, Kevin
Manamanni, Noureddine
ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2013, 26 (02) : 739 - 756
[5] Fuzzy controller design for Takagi-Sugeno fuzzy models with multiplicative noises via relaxed non-quadratic stability analysis
Chang, W-J
Chang, C-H
Ku, C-C
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2010, 224 (I8) : 918 - 931
[6] On Non-quadratic Local Static Output Feedback Controller for Continuous-time Takagi-Sugeno models
Pan Juntao
Fei Shumin
Guerra, Thierry Marie
Xue Mingxiang
2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 2964 - 2969
[7] Non-quadratic local stabilization for continuous-time Takagi-Sugeno models
Guerra, Thierry Marie
Bernal, Miguel
Guelton, Kevin
Labiod, Salim
FUZZY SETS AND SYSTEMS, 2012, 201 : 40 - 54
[8] A new fuzzy Lyapunov approach to non-quadratic stabilization of Takagi-Sugeno fuzzy models
Abdelmalek, Ibtissem
Goliea, Noureddine
Hadjili, Mohamed Laid
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2007, 17 (01) : 39 - 51
[9] Improvements on Non-Quadratic Stabilization of Continuous-Time Takagi-Sugeno Descriptor Models
Estrada-Manzo, Victor
Guerra, Thierry Marie
Lendek, Zsofia
Bernal, Miguel
2013 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ - IEEE 2013), 2013,
[10] Relaxed stability conditions for the Takagi-Sugeno fuzzy system using a polynomial non-quadratic Lyapunov function
Kim, Han Sol
Park, Jin Bae
Joo, Young Hoon
IET CONTROL THEORY AND APPLICATIONS, 2016, 10 (13): : 1590 - 1599

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