About simple fuzzy control and fuzzy control based on fuzzy relational equations

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