Model reduction of linear interval systems using Kharitonov´s polynomials

Author

Anand, N. Vijaya ; Kumar, M. Siva ; Rao, R. Srinivas

Author_Institution

Pvpsit. Vijayawada, Vijayawada, India

fYear

2011

fDate

28-30 Dec. 2011

Firstpage

1

Lastpage

6

Abstract

This paper describes a technique to obtain a stable lower order Interval model from its stable higher order interval plant. The reduced order interval numerator and denominator polynomials are determined by using Kharitonov´s theorem and Routh Approximation Method. The algorithm is simple, rugged and generates stable reduced order interval model for stable original high order interval plants. A numerical example illustrates the effectiveness of proposed algorithm.

Keywords

control system synthesis; polynomial approximation; reduced order systems; stability; Kharitonov polynomials; Routh approximation method; linear interval systems; model reduction; reduced order interval denominator polynomials; reduced order interval numerator polynomials; stable higher order interval plant; stable lower order Interval model; Approximation algorithms; Approximation methods; Mathematical model; Polynomials; Reduced order systems; Stability analysis; Upper bound; Interval plant; Kharitonov´s theorem; Model order reduction; Routh approximation;

fLanguage

English

Publisher

ieee

Conference_Titel

Energy, Automation, and Signal (ICEAS), 2011 International Conference on

Conference_Location

Bhubaneswar, Odisha

Print_ISBN

978-1-4673-0137-4

Type

conf

DOI

10.1109/ICEAS.2011.6147163

Filename

6147163