On positive normalization of fractional order continuous disturbance singular system

Abstract

Recently, the fractional order continuous singular system becomes research field that much discussed by various researchers. The normalization constitutes a variant of discussing for fractional order singular system. The procedure to normalize positively of the fractional order continuous disturbance singular system is discussed in this paper. Some sufficient condition that guarantees the existence of a fractional derivative output feedback such that the closed loop system constitutes a fractional order usual linear system and positive, is established. The considered problem is solved by transforming it into a usual fractional order linear system, and afterwards it is analyzed using algebraic principle. The final result of this paper is a sufficient condition that guarantees the existence of a fractional derivative feedback such that the closed loop system constitutes a fractional order usual linear system and positive.