Title :
Membership functions in L2 space and its applications to fuzzy optimal control
Author :
Mitsuishi, Takashi ; Kawabe, Jun ; Wasaki, Katsumi ; Kawamoto, Pauline ; Shidama, Yasunari
Author_Institution :
Fac. of Eng., Shinshu Univ., Nagano, Japan
fDate :
6/21/1905 12:00:00 AM
Abstract :
The fuzzy control discussed here is nonlinear feedback control in which the feedback laws are determined by if-then type fuzzy rules through the product-sum-gravity method. Then the integral cost (benefit) function of the fuzzy control can be considered as a continuous functional on an appropriate set of membership functions. We study the continuity of the product-sum-gravity method defined on some fuzzy membership function space, and show the existence of a membership function which minimizes (maximizes) the integral cost (benefit) function
Keywords :
feedback; fuzzy control; fuzzy set theory; nonlinear control systems; optimal control; optimisation; topology; L2 space; continuity; fuzzy optimal control; if-then type fuzzy rules; integral benefit function; integral cost function; membership functions; nonlinear feedback control; product-sum-gravity method; Fuzzy control; Gravity; Hilbert space; Humans; Lattices; Nonlinear equations; Optimal control; Topology;
Conference_Titel :
Systems, Man, and Cybernetics, 1999. IEEE SMC '99 Conference Proceedings. 1999 IEEE International Conference on
Conference_Location :
Tokyo
Print_ISBN :
0-7803-5731-0
DOI :
10.1109/ICSMC.1999.823153
