Comparative Analysis of Reduced Commensurate Fractional-Order Interval System Based on Artificial Bee Colony Method

Abstract

Large dimensional systems are complicated and very tough to control. The effective solution is to reduce the large dimension of the systems to a lower dimension. This paper aims to reduce the dimension of a higher-order fractional commensurate interval system to a low-order fractional commensurate interval system by using evolutionary techniques. Kharitonov’s theorem and artificial bee colony optimization technique are used to determine the interval numerator and denominator polynomials for the simplified models. The algorithm is very modest and generates a stable reduced dimensional commensurate fractional interval model preserving the properties of the original system. The efficiency of the suggested strategy is illustrated with a numerical example.

Keywords

• artificial bee colony (ABC) method
• fractional-order interval system (FOIS)
• Kharitonov’s theorem
• model order reduction
• commensurate system