Title :
Compactness of a set of fuzzy membership functions and existence of optimal solution in fuzzy-output feedback
Author :
Yang, Yuguaiig ; Shidama, Yasunari ; Ohkubo, Keiji ; Yamaura, Hiroo
Author_Institution :
Dept. of Inf. Eng., Shinshu Univ., Nagano, Japan
Abstract :
This paper presents a framework for studying the existence of optimal control based on fuzzy rules. The framework consists of two propositions: 1) a set of fuzzy membership functions with bounded gradients is a uniformly bounded, equi-continuous closed set, and so the set of fuzzy membership functions is sequentially compact by the Ascoli-Arzela theorem; and 2) the defuzzification function is continuous on the set of fuzzy membership functions with bounded gradients. The existence of fuzzy optimal control is proved
Keywords :
control system analysis; feedback; fuzzy control; fuzzy set theory; optimal control; Ascoli-Arzela theorem; bounded gradients; defuzzification function; fuzzy control; fuzzy set theory; membership functions; optimal control; output feedback; Arithmetic; Fuzzy control; Fuzzy logic; Fuzzy sets; Marine vehicles; Mathematical model; Optimal control; Output feedback; Parameter estimation; Topology;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.611984
