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Structure-Preserving Model Order Reduction for Index One Port-Hamiltonian Descriptor Systems
by
Mehrmann, Volker
, Moser, Tim
, Voigt, Matthias
, Schwerdtner, Paul
in
Algorithms
/ Mathematical models
/ Model reduction
/ Optimization
/ Reduced order models
2022
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Structure-Preserving Model Order Reduction for Index One Port-Hamiltonian Descriptor Systems
by
Mehrmann, Volker
, Moser, Tim
, Voigt, Matthias
, Schwerdtner, Paul
in
Algorithms
/ Mathematical models
/ Model reduction
/ Optimization
/ Reduced order models
2022
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Structure-Preserving Model Order Reduction for Index One Port-Hamiltonian Descriptor Systems
Paper
Structure-Preserving Model Order Reduction for Index One Port-Hamiltonian Descriptor Systems
2022
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Overview
We develop optimization-based structure-preserving model order reduction (MOR) methods for port-Hamiltonian (pH) descriptor systems of differentiation index one. Descriptor systems in pH form permit energy-based modeling and intuitive coupling of physical systems across different physical domains, scales, and accuracies. This makes pH models well-suited building-blocks for component-wise modeling of large system networks. In this context, it is often necessary to preserve the pH structure during MOR. We discuss current projection-based and structure-preserving MOR algorithms for pH systems and present a new optimization-based framework for that task. The benefits of our method include a simplified treatment of algebraic constraints and often a higher accuracy of the resulting reduced-order model, which is demonstrated by several numerical examples.
Publisher
Cornell University Library, arXiv.org
Subject
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