Model Order Reduction Using Polynomial Derivative And Genetic Algorithm

The authors present a method for reducing the order of the large-scale linear dynamic single-input-single-output (SISO) systems. The denominator polynomial of the reduced model is determined by using polynomial derivative while the numerator coefficients are computed by minimizing the integral square error between step responses of the original system and reduced order model using Genetic Algorithm. The proposed method is conceptually simple, computer oriented and comparable in quality. This method also guarantees the stability of the reduced model if the original high-order system is stable. The viability of the proposed method is illustrated with the help of numerical examples from the literature.