<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The fully adaptive rational global Arnoldi method (AIRGA) for the modelorder reduction of second-order multi-input multi-output systems with proportional damping is revisited. The method automatically generates a reduced system approximating the transfer function. It is based on a moment-matching approach. The expansion points are determined iteratively. The reduced order and the number of moments matched per expansion point are determined adaptively using a heuristic based on an error estimation. A revised moment error expression is presented as well as some related findings.</p></abstract>

The fully adaptive rational global Arnoldi method (AIRGA) for the modelorder reduction of second-order multi-input multi-output systems with proportional damping is revisited. The method automatically generates a reduced system approximating the transfer function. It is based on a moment-matching approach. The expansion points are determined iteratively. The reduced order and the number of moments matched per expansion point are determined adaptively using a heuristic based on an error estimation. A revised moment error expression is presented as well as some related findings.

A revised moment error expression for the AIRGA algorithm

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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{"article-title":"A revised moment error expression for the AIRGA algorithm"}

The fully adaptive rational global Arnoldi method (AIRGA) for the modelorder reduction of second-order multi-input multi-output systems with proportional...

A revised moment error expression for the AIRGA algorithm

Online veröffentlicht: 22. Nov. 2018

Seitenbereich: 87 - 104

Eingereicht: 01. März 2017

Akzeptiert: 01. Aug. 2017

DOI: https://doi.org/10.2478/auom-2018-0020

Schlüsselwörter
Model Order Reduction, Krylov Subspace, Global Arnoldi Algorithm, Moment Matching, Second Order, Proportional Damping

© 2018 Heike Faßbender, Julius Mayer, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

A revised moment error expression for the AIRGA algorithm

Online veröffentlicht: 22. Nov. 2018

Seitenbereich: 87 - 104

Eingereicht: 01. März 2017

Akzeptiert: 01. Aug. 2017

DOI: https://doi.org/10.2478/auom-2018-0020

SchlüsselwörterModel Order Reduction, Krylov Subspace, Global Arnoldi Algorithm, Moment Matching, Second Order, Proportional Damping

© 2018 Heike Faßbender, Julius Mayer, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Schlüsselwörter
Model Order Reduction, Krylov Subspace, Global Arnoldi Algorithm, Moment Matching, Second Order, Proportional Damping