On the absolute stability of the single-input fuzzy logic controller

Abstract

Much research has been introduced to decrease the number of parameters representing the antecedent part of the fuzzy control rule. We briefly explain a single-input fuzzy logic controller (SFLC) which uses only a single input variable. We analyze whether it is absolutely stable based on the sector bounded condition. We also show the feasibility of the proposed stability analysis through a numerical example of a mass-damper-spring system.