Optimal Model Order Reduction Based On H2-Norm With Krylov Subspace Algorithm For SISO System

Document Type : Primary Research paper

Authors

1 Department of EIE, Bannari Amman Institute of Technology, Sathyamangalam, Erode, Tamilnadu, India

2 Department of ECE, KPR Institute of Engineering and Technology, Arasur, Coimbatore, Tamilnadu, India.

3 No Affiliation Available

Abstract

This article presents a H2-norm optimal model technique for creating a reduced
order model (ROM) / model order reduction (MOR) for the linear time-invariant (LTI)
SISO stable system. The computational shortcut that results in models with lower-order
frequency and time responses which are less similar to the original, The H2-norm optimum
model order decrease of the SISO model created which is based on the Gramian matrices
and Krylov subspace algorithm. The Grampian matrix, which is derived from the
controllability and observability matrices, the effectiveness of the projected algorithm is
established by the benchmark SISO system. The efficiency is depends upon the
preservation of dynamic characteristics of the original system and it is evaluated through
the Root Mean Square Error (RMSE), frequency and time domain specifications.

Keywords