Efficient LMI Conditions for Enhanced Stabilization of Discrete-Time Takagi-Sugeno Models via Delayed Nonquadratic Lyapunov Functions

被引：38

作者：

Coutinho, Pedro Henrique S. ^{[1
]}

Lauber, Jimmy ^{[2
]}

Bernal, Miguel ^{[3
]}

Palhares, Reinaldo M. ^{[4
]}

机构：

[1] Univ Fed Minas Gerais, Grad Program Elect Engn, BR-31270901 Belo Horizonte, MG, Brazil

[2] Univ Polytech Hauts de France, CNRS, UMR 8201, LAMIH, F-59313 Valenciennes, France

[3] Sonora Inst Technol, Dept Elect & Elect Engn, Obregon 85000, Mexico

[4] Univ Fed Minas Gerais, Dept Elect Engn, BR-31270901 Belo Horizonte, MG, Brazil

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2019年 / 27卷 / 09期

关键词：

Delayed controller; discrete-time Takagi-Sugeno (T-S) fuzzy models; linear matrix inequalities (LMIs); nonquadratic Lyapunov functions; stabilization; NONLINEAR-SYSTEMS; FUZZY CONTROL; CONTROLLER-DESIGN; SUFFICIENT CONDITIONS; STABILITY CONDITIONS;

D O I：

10.1109/TFUZZ.2019.2892341

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 is concerned with the reduction of conservatism on stabilization conditions of discrete-time Takagi-Sugeno fuzzy models via delayed nonquadratic Lyapunov functions. A fruitful approach recently appeared in the literature, which, despite its benefits, dramatically increases the number of linear matrix inequalities needed to synthesize a controller. The two sets of sufficient conditions hereby proposed tackle this numerical problem while reducing conservatism and increasing the stabilization domain of existing conditions in literature, as illustrated in several examples.

引用

页码：1833 / 1843

页数：11

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