Title :
Mamdani fuzzy controller on NBV space
Author :
Ohkubo, K. ; Shidama, Yasunari
Author_Institution :
Dept. of Electr. & Electron. Eng., Shinshu Univ., Nagano
Abstract :
By regarding the set of fuzzy membership functions as a subset of normal bounded variation (NBV) space, we show it´s compactness in weak topology. We prove also that the Mamdani controller is a continuous functional on the set in the same topology. The results are an extension of Yang et al. (1997), and makes it possible to consider pathological membership functions such as characteristic function. As an application, we discuss the existence of optimal solution in a fuzzy control
Keywords :
fuzzy control; fuzzy set theory; optimal control; topology; Mamdani fuzzy controller; characteristic function; compactness; continuous functional; fuzzy membership functions; normal bounded variation space; pathological membership functions; weak topology; Control systems; Feedback; Functional analysis; Fuzzy control; Fuzzy sets; Fuzzy systems; Optimal control; Pathology; Topology;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.786168
