Model Order Reduction Using Eigen Spectrum and Cauer 2nd Form

Abstract

The model order reduction technique used in the  research depends on the eigen spectrum as well as the Cauer second form.. The eigen spectrum is obtained by performing eigen value analysis of the original system matrix and the Cauer second form is used to reduce the order of the system. The Cauer form is derived from the eigen spectrum by performing an inverse z-transform. This technique is used to reduce the order of a system and design a controller with the help of MATLAB. The presented method's outcomes are contrasted to other existing methods to demonstrate the effectiveness of the suggested approach. The findings conclude that the suggested model order reduction approach using eigen spectrum and Cauer second form is effective in reducing the order of the system and designing a controller. The integral square error value calculated for the proposed approach is less than the other existing approaches which validates the proposed method.