Stability analysis of a continuous-time T-S fuzzy system

Author

Chung, H.Y. ; Chan, S.C.

Author_Institution

Dept. of Electr. Eng., Nat. Central Univ., Jhongli, Taiwan

fYear

2009

fDate

8-11 Dec. 2009

Firstpage

669

Lastpage

673

Abstract

This study proposes absolute stability conditions and an approximate range of robust stability for a continuous-time T-S fuzzy system. In this paper, the mixed transfer functions to synthesize a T-S fuzzy model in any mixed weighting cases for the stability are introduced. A well-known Extreme Value Theorem and Kharitonov´s Theorem are developed to analyze the stability robustness and to judge the stability conditions. Finally, two numerical examples are given to show the efficiency and the convenience of the method.

Keywords

continuous time systems; fuzzy control; fuzzy systems; nonlinear systems; stability; transfer functions; Kharitonov theorem; absolute stability condition; continuous time T-S fuzzy system; extreme value theorem; robust stability; stability analysis; transfer function; Asymptotic stability; Bismuth; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Nonlinear systems; Robust stability; Stability analysis; Transfer functions; T-S fuzzy model; Transfer function; robust stability; stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Engineering and Engineering Management, 2009. IEEM 2009. IEEE International Conference on

Conference_Location

Hong Kong

Print_ISBN

978-1-4244-4869-2

Electronic_ISBN

978-1-4244-4870-8

Type

conf

DOI

10.1109/IEEM.2009.5373243

Filename

5373243