Existence of Single Input Rule Modules for Optimal Fuzzy Logic Control

摘要

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, important degrees and some parameters is compact by considering it to be a family of them. And by considering the fuzzy inference calculations as a composite functional on the family of the membership functions, its continuity is proved in functional analysis. Then, the existence of optimal solution of fuzzy feedback control using SIRMs method is derived from these facts.