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Research Article

Year : 2015 | Volume: 1 | Issue: 1 | Pages: 1-10

A New Model Order Reduction for Linear Continuous Time Interval Systems

M Siva Kumar1*, Gulshad Begum2

DOI: 10.18831/djeee.org/2015011001

Corresponding author

M Siva Kumar*

Department of Electrical and Electronics Engineering, Professor & Head of the Department, Gudlavalleru Engineering College, Gudlavalleru, AP, India

  • 1. Department of Electrical and Electronics Engineering, Professor & Head of the Department, Gudlavalleru Engineering College, Gudlavalleru, AP, India

Received on: 2015/08/28

Revised on: 2015/09/28

Accepted on: 2015/10/12

Published on: 2015/10/12

  • A New Model Order Reduction for Linear Continuous Time Interval Systems, M Siva Kumar, Gulshad Begum., 2015/10/12, Journal of Electrical Engineering and science, 1(1): 1-10, http://dx.doi.org/10.18831/djeee.org/12015011001.

    Published on: 2015/10/12

Abstract

This paper presents a new method for order reduction of linear continuous time interval systems. This method is based on Stability equation method, Pade approximation and Kharitonov’s theorem. The reduced order interval model is determined by using Kharitonov’s polynomials which makes use of Kharitonov’s theorem and general form of Stability equation method for denominator while Pade approximation is used for numerator coefficients. This method generates stable reduced order model if the original higher order system is stable. The proposed method is illustrated with the help of typical numerical example considered from the literature.

Keywords

Interval system, Model order reduction, Stability equation method, Pade approximation, Kharitonov’s theorem.