Robust Fuzzy Control for Uncertain Markovian Jump Nonlinear Singular Systems

被引：0

作者：

Zhang, Aiqing ^{[1
]}

Fang, Huajing ^{[2
]}

机构：

[1] Jianghan Univ, Coll Math & Comp Sci, Wuhan 430056, Hubei, Peoples R China

[2] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China

来源：

ICIA: 2009 INTERNATIONAL CONFERENCE ON INFORMATION AND AUTOMATION, VOLS 1-3 | 2009年

关键词：

H-INFINITY-CONTROL; STOCHASTIC-SYSTEMS; LINEAR-SYSTEMS; STABILITY; STABILIZABILITY; STABILIZATION;

D O I：

暂无

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 problem of robust stochastic stabilization for Markovian jump nonlinear singular systems with Wiener process via a fuzzy-control approach. The Takagi-Sugeno (T-S) fuzzy model is employed to represent a nonlinear singular system with norm-bounded parameter uncertainties and Markovian jump parameters. The purpose of the robust stochastic stabilization problem is to design a state feedback fuzzy controller such that the closed-loop fuzzy system is robustly stochastically stable for all admissible uncertainties. Linear matrix inequality (LMI) sufficient conditions are developed to solve the above problem. The expression of desired state feedback fuzzy controller is given. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed method.

引用

页码：248 / +

页数：3

共 16 条

[1] Robust H∞ fuzzy control approach for a class of Markovian jump nonlinear systems [J].

Arrifano, Natache S. D. ;

Oliveira, Vilma A. .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2006, 14 (06) :738-754

[2] On stabilizability of stochastic fuzzy systems [J].

Boukas, E. K. ;

El-Hajjaji, A. .

2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2006, 1-12 :4362-4366

[3] Stabilization of stochastic singular nonlinear hybrid systems [J].

Boukas, EK .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (02) :217-228

[4] On stability and stabilizability of singular stochastic systems with delays [J].

Boukas, EK ;

Xu, S ;

Lam, J .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2005, 127 (02) :249-262

[5] Delay-dependent robust stability and H∞ control of jump linear systems with time-delay [J].

Boukas, EK ;

Liu, ZK ;

Liu, GX .

INTERNATIONAL JOURNAL OF CONTROL, 2001, 74 (04) :329-340

[6] Robust stability and stabilizability of Markov jump linear uncertain systems with mode-dependent time delays [J].

Boukas, EK ;

Liu, ZK .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2001, 109 (03) :587-600

[7]

Cao YY, 2000, IEEE T AUTOMAT CONTR, V45, P77, DOI 10.1109/9.827358

[8] STOCHASTIC STABILITY PROPERTIES OF JUMP LINEAR-SYSTEMS [J].

FENG, XB ;

LOPARO, KA ;

JI, YD ;

CHIZECK, HJ .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (01) :38-53

[9] CONTROLLABILITY, STABILIZABILITY, AND CONTINUOUS-TIME MARKOVIAN JUMP LINEAR QUADRATIC CONTROL [J].

JI, YD ;

CHIZECK, HJ .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (07) :777-788

[10]

Raouf J, 2004, P AMER CONTR CONF, P3170

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