Title:

On the asymptotic accuracy of reduced-order models

Subtitle:

Raport Badawczy = Research Report ; RB/28/2015

Creator:

Casagrande, Daniele ; Krajewski, Wiesław (informatyka) ; Viaro, Umberto

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2015

Description:

6 pages ; 21 cm ; Bibliography p. 4-6

Subject and Keywords:

Model reduction ; Redukcja modelu ; Steady–state response ; Reakcja stanu ustalonego ; Transient response ; Odpowiedź przejściowa ; Hankel norm ; Balanced truncation ; Zrównoważone obcięcie

Abstract:

The work deals with popular model reduction methods that can be easily adapted to retain the asymptotic response to inputs with rational transform. To this purpose, the forced response of the high order system is decomposed into a transient and a steady-state component. Then, the reduced-order model is obtained by combining the unaltered steady-state component with an approximation of the transient component. Examples show that forcing the reduced-order model to retain the steady-state component does not compromise the transient accuracy.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2015-28

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open