Title :
Fuzzy approximate reasoning using single input rule modules in L∞ space
Author :
Mitsuishi, Takashi ; Terashima, Takanori ; Homma, Toshimichi ; Shidama, Yasunari
Author_Institution :
Fac. of Inf. Sci. & Technol., Univ. of Marketing & Distrib. Sci., Kobe, Japan
Abstract :
The nonlinear feedback control whose feedback law is constructed by the SIRMs method is structured and presented mathematically. The set of SIRMs formed from the membership functions and important degrees is compact by considering it to be a family of them. And the continuity of fuzzy inference calculations is proved by considering it to be a composite functional on the family of the set of membership functions in meaning of functional analysis. Then, the existence of optimal solution of fuzzy feedback control using SIRMs method is derived from these facts.
Keywords :
feedback; fuzzy control; fuzzy set theory; nonlinear control systems; L∞ space; SIRM method; feedback law; fuzzy approximate reasoning; fuzzy feedback control; fuzzy inference calculation; membership function; nonlinear feedback control; single input rule module; Aerospace electronics; Cognition; Conferences; Equations; Feedback control; Optimal control; Topology;
Conference_Titel :
AFRICON, 2011
Conference_Location :
Livingstone
Print_ISBN :
978-1-61284-992-8
DOI :
10.1109/AFRCON.2011.6071999
