Reduction of large scale linear dynamic SISO and MIMO systems using differential evolution optimization algorithm

Abstract

In this paper, a computationally simple approach is proposed for order reduction of large scale system linear dynamic SISO and MIMO system using differential evolutionary (DE) optimization technique. The method is based on minimizing the integral square error (ISE) between the transient responses of original and reduced order models pertaining to step input. The reduction procedure is simple, efficient and computer oriented. Stability of the reduced order system is always assured in proposed method. The algorithm is illustrated with help of two numerical examples and results are compared with other well known reduction techniques to show its superiority.