Control Law Proposition for the Stabilization of Discrete Takagi-Sugeno Models

被引：98

作者：

Guerra, Thierry Marie ^{[1
]}

Kruszewski, Alexandre ^{[2
]}

Bernal, Miguel ^{[3
]}

机构：

[1] Univ Valenciennes Hainaut Cambresis, CNRS, UMR 8530, Lab Automat & Mecan Ind & Humaines, F-59313 Valenciennes, France

[2] Ecole Cent Lille, CNRS, UMR 8146, LAGIS, F-59651 Villeneuve Dascq, France

[3] Natl Res Syst, Mexico City 03940, DF, Mexico

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2009年 / 17卷 / 03期

关键词：

Linear matrix inequalities (LMI); Lyanupov functional; stabilization; Takagi-Sugeno discrete models; PIECEWISE LYAPUNOV FUNCTIONS; CONTROL-SYSTEM DESIGN; FUZZY-SYSTEMS; NONLINEAR-SYSTEMS; LMI; STABILITY; FORM; REDUCTION;

D O I：

10.1109/TFUZZ.2008.928602

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper deals with the stabilization of a class of discrete nonlinear models, namely those in the Takagi-Sugeno form; its main goal is to reduce conservatism of existing stabilization conditions using a special class of candidate Lyapunov functions and an enhanced control law. It is shown that the use of the aforementioned Lyapunov function leads to less-pessimistic solutions. The usefulness of the new control law is shown through several examples.

引用

页码：724 / 731

页数：8

共 20 条

[11] New approaches to H∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI [J].

Liu, XD ;

Zhang, QL .

AUTOMATICA, 2003, 39 (09) :1571-1582

[12]

Megretski A, 1996, IEEE DECIS CONTR P, P2389, DOI 10.1109/CDC.1996.573446

[13] A new fuzzy Lyapunov function approach for a Takagi-Sugeno fuzzy control system design [J].

Rhee, BJ ;

Won, S .

FUZZY SETS AND SYSTEMS, 2006, 157 (09) :1211-1228

[14] Perspectives of fuzzy systems and control [J].

Sala, A ;

Guerra, TM ;

Babuska, R .

FUZZY SETS AND SYSTEMS, 2005, 156 (03) :432-444

[15]

Skelton R. E., UNIFIED ALGEBRAIC AP

[16]

Tanaka K., 2001, FUZZY CONTROL SYSTEM, DOI [10.1002/0471224596, DOI 10.1002/0471224596]

[17] Model construction, rule reduction, and robust compensation for generalized form of Takagi-Sugeno fuzzy systems [J].

Taniguchi, T ;

Tanaka, K ;

Ohtake, H ;

Wang, HO .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2001, 9 (04) :525-538

[18] Parameterized linear matrix inequality techniques in fuzzy control system design [J].

Tuan, HD ;

Apkarian, P ;

Narikiyo, T ;

Yamamoto, Y .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2001, 9 (02) :324-332

[19] An approach to fuzzy control of nonlinear systems: Stability and design issues [J].

Wang, HO ;

Tanaka, K ;

Griffin, MF .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1996, 4 (01) :14-23

[20] Stability analysis and H∞ controller design of fuzzy large-scale systems based on piecewise Lyapunov functions [J].

Zhang, Hongbin ;

Li, Chunguang ;

Liao, Xiaofeng .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2006, 36 (03) :685-698

← 1 2 →