A CON: EVO Reduction Technique for Uncertain Interval Systems Using Differential Evolution Algorithm

devender kumar saini; Rajendra Prasad

doi:10.37591/joci.v1i1-2-3.3066

Abstract

In this paper advantage of evolutionary technique is used in combination with a reliable conventionaltechnique to reduce the dimension of high order uncertain linear interval systems into low order intervalsystems. The proposed technique is depicted by a name CON: EVO, which stands for combination ofconventional & evolutionary technique. In evolutionary method recently proposed Differential Evolution(DE) optimization technique is used with and without powerful conventional Routh approximation techniqueto minimize the integral square error (ISE) between transient responses of original higher order model andreduced order model pertaining to a unit step input. The algorithm is simple, rugged and computer oriented.It is shown that the algorithm has several advantages, e.g. the reduced order models retain the steady-statevalue and stability of the original system. The proposed method is illustrated through a numerical exampleand the results of proposed algorithms are compared with already presented Genetic algorithm method andavailable Routh approximation conventional technique for interval system proposed byBandyopadhyay.Keywords: Uncertain interval systems, Differential evolution, Reduced order modeling, Integral squareerror.