Interpolation approach to Hankel-norm model reduction for rational multi-input multi-output systems

Author

Auba, Tatsushi ; Funahashi, Yasuyuki

Author_Institution

Dept. of Mech. Eng., Nagoya Inst. of Technol., Japan

Volume

43

Issue

12

fYear

1996

fDate

12/1/1996 12:00:00 AM

Firstpage

987

Lastpage

995

Abstract

Hankel-norm model degree reduction problem is studied by the interpolation approach. All-pass matrices that satisfy directional interpolation requirements are applied to this problem. Multi-input multi-output systems with rational transfer function are considered, for which a parametrization of all approximations is derived for a specified value of the Hankel norm of the modeling error. The parametrization is expressed by only the pole locations, their directions, and the relevant directions, which are all determined by a coprime factorization of the transfer function matrix of the original system

Keywords

Hankel matrices; MIMO systems; interpolation; reduced order systems; transfer function matrices; Hankel-norm model reduction; all-pass matrices; coprime factorization; interpolation approach; model degree reduction; modeling error; pole locations; rational multi-input multi-output systems; rational transfer function; transfer function matrix; Circuits; Equations; Interpolation; Mechanical engineering; Modal analysis; Reduced order systems; Signal generators; Spectral analysis; State-space methods; Transfer functions;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.545839

Filename

545839