A less conservative LMI condition for stability analysis of continuous-time Takagi-Sugeno fuzzy systems via a new fuzzy Lyapunov function

Author

Lee, Dong Hwan ; Park, Jin Bae ; Joo, Young Hoon ; Jeong, Hyun Suk

Author_Institution

Dept. of Electr. & Electron. Eng., Yonsei Univ., Seoul, South Korea

fYear

2010

fDate

18-23 July 2010

Firstpage

1

Lastpage

6

Abstract

In this paper, stability of continuous-time Takagi-Sugeno (T-S) fuzzy systems is investigated by means of a new fuzzy Lyapunov function which depends on the first-order time-derivative of the fuzzy weighting functions (TDFWF). As a result, both the first and second-order TDFWF appear in the Lyapunov inequality and the stability condition. The additional dependence on the second-order TDFWF makes it possible to reduce the conservativeness of the previous result. The stability condition is formulated in terms of linear matrix inequalities (LMIs). The effectiveness of the proposed analysis approach is demonstrated by numerical examples.

Keywords

Lyapunov methods; continuous time systems; fuzzy systems; linear matrix inequalities; stability; LMI condition; Lyapunov inequality; continuous time Takagi Sugeno fuzzy systems; first order time derivative; fuzzy Lyapunov function; fuzzy weighting functions; stability analysis; Fuzzy systems; Lyapunov method; Numerical stability; Solids; Stability analysis; Trajectory; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems (FUZZ), 2010 IEEE International Conference on

Conference_Location

Barcelona

ISSN

1098-7584

Print_ISBN

978-1-4244-6919-2

Type

conf

DOI

10.1109/FUZZY.2010.5584596

Filename

5584596