Stability analysis for switched nonlinear system via switching fuzzy Lyapunov function approach

Author

Rongqiang Xie ; Hongbin Zhang

Author_Institution

Sch. of Electron. Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu, China

fYear

2014

fDate

8-10 Aug. 2014

Firstpage

309

Lastpage

312

Abstract

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.

Keywords

Lyapunov methods; asymptotic stability; fuzzy control; linear matrix inequalities; nonlinear control systems; LMI; MDADT technique; Matlab; asymptotic stability; fuzzy rule structure information; linear matrix inequalities; mode-dependent average dwell time; stability analysis; sufficient condition; switched nonlinear system; switching fuzzy Lyapunov function approach; switching information; Asymptotic stability; Lyapunov methods; Nonlinear systems; Numerical stability; Stability analysis; Switched systems; Switches;

fLanguage

English

Publisher

ieee

Conference_Titel

Guidance, Navigation and Control Conference (CGNCC), 2014 IEEE Chinese

Conference_Location

Yantai

Print_ISBN

978-1-4799-4700-3

Type

conf

DOI

10.1109/CGNCC.2014.7007250

Filename

7007250