On the relative and multiplicative model reductions

Author

Chen, Xiang ; Zhou, Kemin

Author_Institution

Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA

fYear

1995

fDate

12-14 Mar 1995

Firstpage

57

Lastpage

60

Abstract

A new relative error model reduction method is proposed using frequency weighted balanced realization and inner-outer factorizations. Explicit L_∞ norm error bounds are also derived for the relative error and multiplicative error. A computer example is also given in the paper showing that the improved error bounds by Wang and Safonov (1990, 1992) are in fact wrong. We consider the problem of reducing the order of a linear multivariable dynamical system

Keywords

error analysis; multivariable control systems; reduced order systems; error bounds; frequency weighted balanced realization; inner-outer factorizations; linear multivariable dynamical system; multiplicative error; multiplicative model reductions; norm error bounds; relative error model reduction method; relative model reductions; Approximation error; Approximation methods; Computer errors; Counting circuits; Frequency; Postal services; Reduced order systems; Riccati equations; State-space methods; Stochastic processes;

fLanguage

English

Publisher

ieee

Conference_Titel

System Theory, 1995., Proceedings of the Twenty-Seventh Southeastern Symposium on

Conference_Location

Starkville, MS

ISSN

0094-2898

Print_ISBN

0-8186-6985-3

Type

conf

DOI

10.1109/SSST.1995.390617

Filename

390617