Structure-preserving approximation of distributed-parameter second-order systems using Krylov subspaces

In this article, the approximation of linear second-order distributed-parameter systems (DPS) is considered using a Galerkin approach. The resulting finite-dimensional approximation model also has a second-order structure and preserves the stability as well as the passivity. Furthermore, by extendin...

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Bibliographic Details
Published inMathematical and computer modelling of dynamical systems Vol. 20; no. 4; pp. 395 - 413
Main Authors Deutscher, J., Harkort, Ch
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 04.07.2014
Taylor & Francis Ltd
Subjects
Approximation
Dynamical systems
Dynamics
Euler-Bernoulli beams
Galerkin approach
Galerkin methods
Krylov subspace methods
linear distributed-parameter systems
Mathematical analysis
Mathematical models
moment matching
Preserves
second-order systems
structure preservation
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Summary:In this article, the approximation of linear second-order distributed-parameter systems (DPS) is considered using a Galerkin approach. The resulting finite-dimensional approximation model also has a second-order structure and preserves the stability as well as the passivity. Furthermore, by extending the Krylov subspace methods for finite-dimensional systems of second order to DPS, the basis vectors of the Galerkin projection are determined such that the transfer behaviour of the DPS can be approximated by using moment matching. The structure-preserving approximation of an Euler-Bernoulli beam with Kelvin-Voigt damping demonstrates the results of the article.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1387-3954
1744-5051
DOI:10.1080/13873954.2013.833524