Model Order Reduction Using Laguerre Polynomials and Harmony Search

A new method for model reduction of linear systems is presented based on Laguerre Polynomials using Harmony Search (HS) algorithm. First، a full order system is expanded and then a set of parameters in a fixed structure are determined، whose values define the reduced order system. The values are obtained by minimizing the errors between the first coefficients of Laguerre Polynomials of full and reduced systems using HS algorithm. To satisfy the stability، Routh criterion is used as constraints in optimization problem. To present the ability of the proposed method، three test systems are reduced. The results obtained are compared with other existing techniques. The results obtained show the accuracy and efficiency of the proposed method.