Continuity of approximate reasoning with Łukasiewicz logic for optimization of fuzzy logic control
Takashi Mitsuishi, Takanori Terashima, Koji Saigusa, Yasunari Shidama · 2013
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.