Hankel approximation of commensurate input delay systems

Author

Ohta, Yoshito ; Hwang, I. Cheol

Author_Institution

Dept. of Mech. Eng. for Comput.-Controlled Machinery, Osaka Univ., Japan

Volume

3

fYear

1996

fDate

11-13 Dec 1996

Firstpage

3167

Abstract

This paper studies the problem of approximating commensurate input delay systems by finite dimensional systems based on the Hankel singular values. It is shown that the Hankel singular values are solutions to a transcendental equation and the Hankel singular vectors are obtained from the kernel of the matrix. The computation is carried out in state-space framework. Once singular values and vectors are calculated, finite dimensional approximated systems are constructed using standard linear system computational tools. An example is included

Keywords

Hankel matrices; approximation theory; delay systems; reduced order systems; state-space methods; Hankel approximation; Hankel singular values; Hankel singular vectors; commensurate input delay systems; finite dimensional approximated systems; finite dimensional systems; linear system computational tools; matrix kernel; state-space framework; transcendental equation; Delay systems; Equations; Kernel; Linear systems; Machinery; Mechanical engineering; Process design; Reduced order systems; Transfer functions; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.573618

Filename

573618