A dual design problem via multiple Lyapunov functions

Author

Tanaka, Kazuo ; Hori, Tsuyoshi ; Wang, Hua O.

Author_Institution

Dept. of Mech. Eng. & Intelligent Syst., Univ. of Electro-Commun., Tokyo, Japan

Volume

1

fYear

2001

fDate

6/23/1905 12:00:00 AM

Firstpage

388

Lastpage

391

Abstract

Presents a dual design problem via multiple Lyapunov functions. Based on a multiple Lyapunov approach, we introduce two important concepts. One is a dual design concept that minimizes/maximizes upper bounds of the time derivative of premise membership functions in a Takagi-Sugeno fuzzy system. The other is a stability margin concept for switching speed among if-then rules. It is related to avoiding conservatism of stability analysis and guaranteeing system response performance. A design example illustrates the utility of the dual design via the multiple Lyapunov function approach

Keywords

Lyapunov methods; control system synthesis; fuzzy systems; matrix algebra; stability; Takagi-Sugeno fuzzy system; dual design problem; if-then rules; multiple Lyapunov functions; premise membership functions; stability margin concept; switching speed; time derivative; upper bounds; Control systems; Fuzzy systems; Intelligent systems; Lyapunov method; Mechanical engineering; Stability analysis; Takagi-Sugeno model; Time factors; Time measurement; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 2001. The 10th IEEE International Conference on

Conference_Location

Melbourne, Vic.

Print_ISBN

0-7803-7293-X

Type

conf

DOI

10.1109/FUZZ.2001.1007330

Filename

1007330