Fuzzy control based on fuzzy relation equations

Abstract

The paper discusses fuzzy controllers based on fuzzy relation equations in the case when fuzzy controller inputs are exact. The Godelian implication and minimum function as t-norm are considered. The fuzzy relation equation with sup-t composition results in plausible control and the adjoint equation leads to simple fuzzy control (min-max inference method). The computation of fuzzy relations is not necessary. The relation between fuzzy plausible control and simple fuzzy control is discussed. Control algorithms are compared on a simulation example.