Reduced order modeling of uncertain systems by pole clustering technique using genetic algorithm

Abstract

A mixed method is proposed for the order reduction of an interval system using pole clustering technique and simple mathematical manipulation process. kharitonov polynomial is employed in the interval system before the model order reduction technique is come into the approximation process. The pole clustering technique is used to obtain the reduced order denominator polynomial and the corresponding numerator polynomial is obtained through cross multiplication of transfer function polynomials. Genetic Algorithm is employed in the model order reduction process by which reduced order system parameters can be adjusted. The stability of the interval system is analyzed through the Routh-Hurwitz stability criterion.