Title :
Continuity of approximate reasoning with Łukasiewicz logic for optimization of fuzzy logic control
Author :
Mitsuishi, Takashi ; Terashima, Tomohide ; Saigusa, Koji ; Shidama, Yasunari
Author_Institution :
Fac. of Commerce, Univ. of Marketing & Distrib. Sci., Kobe, Japan
Abstract :
In this paper we analyze the existence of fuzzy controller as IF-THEN rules which minimize the performance functional of nonlinear feedback control. A bounded product (Łukasiewicz t-norm) and a bounded sum (Łukasiewicz t-conorm) are applied to the operations in the fuzzy reasoning for interpreting “AND” and “OR” respectively. In particular, the continuity of approximate reasoning is proved to show the optimal control.
Keywords :
approximation theory; feedback; fuzzy control; nonlinear control systems; optimal control; optimisation; Łukasiewicz logic; approximate reasoning continuity; bounded product; bounded sum; fuzzy controller; fuzzy logic control optimization; fuzzy reasoning; nonlinear feedback control; optimal control; Cognition; Feedback control; Fuzzy control; Fuzzy logic; Fuzzy sets; Optimal control; Optimization;
Conference_Titel :
Control and Fault-Tolerant Systems (SysTol), 2013 Conference on
Conference_Location :
Nice
DOI :
10.1109/SysTol.2013.6693831
