Continuity of Defuzzification on L2 Space for Optimization of Fuzzy Control

Autor:	Yasunari Shidama, Takashi Mitsuishi, Kiyoshi Sawada, Takanori Terashima, Toshimichi Homma, Nami Shimada
Rok vydání:	2012
Předmět:	Mathematical optimization Fuzzy classification Computer science Fuzzy mathematics Fuzzy set operations Fuzzy number Fuzzy associative matrix Type-2 fuzzy sets and systems Defuzzification Membership function
Zdroj:	Active Media Technology ISBN: 9783642352355 AMT
Popis:	The purpose of this study is to consider the fuzzy optimal control based on the functional analysis. We used a mathematical approach to compute optimal solutions. The feedback of fuzzy control is evaluated through approximate reasoning using the center of sums defuzzification method or the height method on IF-THEN fuzzy rules. The framework consists of two propositions: To guarantee the convergence of optimal solution, a set of fuzzy membership functions (admissible fuzzy controller) which are selected out of continuous function space is compact metrizable. And assuming approximate reasoning to be a functional on the set of membership functions, its continuity is proved. Then, we show the existence of a fuzzy controller which minimizes (maximizes) the integral performance function of the nonlinear feedback fuzzy system.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::84210600cbba183f0bb93b49b89776b5 https://doi.org/10.1007/978-3-642-35236-2_8 Zobrazit plný text záznamu