Robust static output feedback H∞ control for uncertain fuzzy systems

被引：149

作者：

Chang, Xiao-Heng ^{[1
]}

Zhang, Liang ^{[1
]}

Park, Ju H. ^{[2
]}

机构：

[1] Bohai Univ, Coll Engn, Jinzhou 121003, Liaoning, Peoples R China

[2] Yeungnam Univ, Dept Elect Engn, Kyongsan 712749, South Korea

来源：

FUZZY SETS AND SYSTEMS | 2015年 / 273卷

基金：

新加坡国家研究基金会; 中国国家自然科学基金;

关键词：

Uncertain Takagi-Sugeno (T-S) fuzzy systems; Static output feedback (SOF) H-infinity controllers; Non-common; Uncertainties; STABILIZATION; STABILITY; MODEL; DESIGN;

D O I：

10.1016/j.fss.2014.10.023

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper will focus on robust static output feedback (SOF) H-infinity control for discrete-time Takagi-Sugeno (T-S) fuzzy systems with time-varying norm bounded uncertainties. First, a new H-infinity performance analysis criterion is proposed for the fuzzy systems. Then, sufficient conditions for designing fuzzy SOF H-infinity controllers are given in terms of solutions to a set of linear matrix inequalities (LMIs). In contrast to the existing methods for designing the SOF H-infinity controllers, the output matrices of the considered fuzzy system are allowed to be non-common and to have uncertainties. Moreover, theoretical proof is given to show that the proposed design conditions include some existing results as special cases. Simulation examples are provided to show the effectiveness of the proposed design method. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：87 / 104

页数：18

共 30 条

[1] Relaxed LMI conditions for closed-loop fuzzy systems with tensor-product structure [J].

Arino, Carlos ;

Sala, Antonio .

ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2007, 20 (08) :1036-1046

[2]

Boyd Stephen, 1994, LINEAR MATRIX INEQUA

[3] Robust H∞ disturbance attenuation for a class of uncertain discrete-time fuzzy systems [J].

Cao, YY ;

Frank, PM .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2000, 8 (04) :406-415

[4] LMI Solution for Robust Static Output Feedback Control of Discrete Takagi-Sugeno Fuzzy Models [J].

Chadli, M. ;

Guerra, T. M. .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2012, 20 (06) :1160-1165

[5]

Chadli M, 2002, IEEE DECIS CONTR P, P311, DOI 10.1109/CDC.2002.1184510

[6] A descriptor representation approach to observer-based H∞ control synthesis for discrete-time fuzzy systems [J].

Chang, Xiao-Heng ;

Yang, Guang-Hong .

FUZZY SETS AND SYSTEMS, 2011, 185 (01) :38-51

[7] Relaxed stabilization conditions for continuous-time Takagi-Sugeno fuzzy control systems [J].

Chang, Xiao-Heng ;

Yang, Guang-Hong .

INFORMATION SCIENCES, 2010, 180 (17) :3273-3287

[8]

Chang XH, 2009, INT J CONTROL AUTOM, V7, P139, DOI [10.1007/s12555-009-0117-8, 10.1007/S12555-009-0117-8]

[9] Stabilization of Takagi-Sugeno Model via Nonparallel Distributed Compensation Law [J].

Ding, Baocang .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2010, 18 (01) :188-194

[10] Quadratic boundedness via dynamic output feedback for constrained nonlinear systems in Takagi-Sugeno's form [J].

Ding, Baocang .

AUTOMATICA, 2009, 45 (09) :2093-2098

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