Frequency weighted identification and model reduction via extended impulse response Gramian

Author

Diab, M. ; Sreeram, V. ; Liu, W.Q.

Author_Institution

Dept. of Electr. & Electron. Eng., Western Australia Univ., Nedlands, WA, Australia

Volume

4

fYear

1997

fDate

10-12 Dec 1997

Firstpage

3292

Abstract

A method is presented for identification and model reduction of frequency weighted linear discrete time invariant systems. The method is an extension of the method developed by Aug et al. (1995), and is based on the extended impulse response Gramian (EIRG). A weighting matrix formed from the impulse response of the frequency weighting is used to weight the EIRG of the original system. The identified/reduced order models are obtained via singular value decomposition of the frequency weighted EIRG and are shown to converge to frequency weighted balanced realization under certain conditions

Keywords

controllability; discrete time systems; identification; linear systems; observability; reduced order systems; singular value decomposition; transient response; controllability; discrete time systems; extended impulse response Gramian; frequency weighted identification; linear systems; model reduction; observability; reduced order models; singular value decomposition; weighting matrix; Control system synthesis; Control systems; Controllability; Convergence; Discrete time systems; Frequency; Observability; Reduced order systems; Singular value decomposition; System identification;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.652353

Filename

652353