Dynamic System Simplification using Rectified Logarithmic Pole Clustering Technique

The author suggested a rectified logarithmic pole clustering technique for simplification of the large-scale linear dynamic time-invariant systems. The denominator polynomial is determined by new pole clustering technique unlike logarithmic clustering technique already suggested by the authors^[1]. The numerator of the reduced model is computed by matching few time-moments of the original system. The proposed method is easy to understand, efficient and capable to retain stability in the reduced models, if the original high order system is stable in nature. The viability of the proposed method is illustrated with the help of few examples taken from the literature.