DocumentCode
343222
Title
Mamdani fuzzy controller on NBV space
Author
Ohkubo, K. ; Shidama, Yasunari
Author_Institution
Dept. of Electr. & Electron. Eng., Shinshu Univ., Nagano
Volume
3
fYear
1999
fDate
1999
Firstpage
1842
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;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 1999. Proceedings of the 1999
Conference_Location
San Diego, CA
ISSN
0743-1619
Print_ISBN
0-7803-4990-3
Type
conf
DOI
10.1109/ACC.1999.786168
Filename
786168
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