Order reduction of linear systems with an improved pole clustering

A new model order reduction technique for the reduction of the linear time invariant system has been proposed in this paper. An improved clustering algorithm is employed in the proposed method to obtain the reduced order denominator polynomial. The reduced order numerator polynomial is obtained with a simple mathematical calculation as mentioned in the proposed scenario. The validity of the proposed method has been illustrated through some numerical examples. The improved clustering algorithm guaranteed the stability in the reduced model and also preserves the characteristics of the original system in the approximated one. The method is extended to the higher order multivariable system described by its matrix transfer function.