Title :
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
fDate :
6/23/1905 12:00:00 AM
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;
Conference_Titel :
Fuzzy Systems, 2001. The 10th IEEE International Conference on
Conference_Location :
Melbourne, Vic.
Print_ISBN :
0-7803-7293-X
DOI :
10.1109/FUZZ.2001.1007330
