Stability Analysis for Switched Nonlinear System via Switching Fuzzy Lyapunov Function Approach

被引：0

作者：

Xie, Rongqiang ^{[1
]}

Zhang, Hongbin ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Elect Engn, Chengdu 611731, Peoples R China

来源：

2014 IEEE CHINESE GUIDANCE, NAVIGATION AND CONTROL CONFERENCE (CGNCC) | 2014年

关键词：

H-INFINITY CONTROL; DESIGN;

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The aim of this paper is to study the stability problem for a class of switched nonlinear systems via switching fuzzy Lyapunov function approach. The switching fuzzy Lyapunov function is proposed based on the switching information and the structure information of the fuzzy rule. Then, new sufficient condition on asymptotic stability is obtained by using switching fuzzy Lyapunov functions approach combined with the mode-dependent average dwell time (MDADT) technique. All the results are derived in the terms of linear matrix inequalities (LMI) that can be checked easily by the LMI Control Toolbox in MATLAB. Finally, the simulation examples are presented to show the effectiveness of results obtained in this paper.

引用

页码：309 / 312

页数：4

共 13 条

[1]

Chung-Shi T., 2001, IEEE T FUZZY CONTROL, V9

[2] Basic problems in stability and design of switched systems [J].

Liberzon, D ;

Morse, AS .

IEEE CONTROL SYSTEMS MAGAZINE, 1999, 19 (05) :59-70

[3]

Liberzon D., 2003, SYS CON FDN, P190, DOI 10.1007/978-1-4612-0017-8

[4] Fuzzy weighting-dependent approach to H∞ filter design for time-delay fuzzy systems [J].

Lin, Chong ;

Wang, Qing-Guo ;

Lee, Tong Heng ;

He, Yong .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2007, 55 (06) :2746-2751

[5] AN ALGEBRAIC APPROACH TO ROBUST H-INFINITY CONTROL VIA STATE FEEDBACK [J].

SHI, GJ ;

ZOU, Y ;

YANG, CW .

SYSTEMS & CONTROL LETTERS, 1992, 18 (05) :365-370

[6] Stabilization and optimization of switched linear systems [J].

Sun, ZD .

AUTOMATICA, 2006, 42 (05) :783-788

[7] FUZZY IDENTIFICATION OF SYSTEMS AND ITS APPLICATIONS TO MODELING AND CONTROL [J].

TAKAGI, T ;

SUGENO, M .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1985, 15 (01) :116-132

[8]

Tanaka K, 2001, P AMER CONTR CONF, P4790, DOI 10.1109/ACC.2001.945740

[9]

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

[10] H∞ fuzzy estimation for a class of nonlinear discrete-time dynamic systems [J].

Tseng, CS ;

Chen, BS .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2001, 49 (11) :2605-2619

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