MORpH: Model reduction of linear port-Hamiltonian systems in MATLAB

Tim Moser; Julius Durmann; Maximilian Bonauer; Boris Lohmann

doi:10.1515/auto-2022-0119

MORpH: Model reduction of linear port-Hamiltonian systems in MATLAB

Translated title of the contribution: MORpH: Model reduction of linear port-Hamiltonian systems in MATLAB

Tim Moser, Julius Durmann, Maximilian Bonauer, Boris Lohmann

Chair of Automatic Control

Technical University of Munich

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We present a novel software toolbox MORpH for the efficient storage, analysis, interconnection and structure-preserving model order reduction (MOR) of linear port-Hamiltonian differential-algebraic equation systems (pH-DAEs). The model class of pH-DAEs enables energy-based modeling and a flexible coupling of models across different physical domains. This makes them particularly suited for the simulation and control of complex technical systems. To promote the use of recent theoretical findings in engineering practice, efficient software solutions are required. In this work, we illustrate how possibly large-scale pH-DAEs can be efficiently stored and interconnected in MATLAB in an object-oriented way. We discuss three structure-preserving MOR strategies that are supported by MORpH and demonstrate the application and performance of selected MOR algorithms by means of two benchmark examples.

Translated title of the contribution	MORpH: Model reduction of linear port-Hamiltonian systems in MATLAB
Original language	English
Pages (from-to)	476-489
Number of pages	14
Journal	At-Automatisierungstechnik
Volume	71
Issue number	6
DOIs	https://doi.org/10.1515/auto-2022-0119
State	Published - 1 Jun 2023

Keywords

descriptor systems
passivity
port-Hamiltonian systems
structure-preserving model reduction

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abstract = "We present a novel software toolbox MORpH for the efficient storage, analysis, interconnection and structure-preserving model order reduction (MOR) of linear port-Hamiltonian differential-algebraic equation systems (pH-DAEs). The model class of pH-DAEs enables energy-based modeling and a flexible coupling of models across different physical domains. This makes them particularly suited for the simulation and control of complex technical systems. To promote the use of recent theoretical findings in engineering practice, efficient software solutions are required. In this work, we illustrate how possibly large-scale pH-DAEs can be efficiently stored and interconnected in MATLAB in an object-oriented way. We discuss three structure-preserving MOR strategies that are supported by MORpH and demonstrate the application and performance of selected MOR algorithms by means of two benchmark examples.",

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AB - We present a novel software toolbox MORpH for the efficient storage, analysis, interconnection and structure-preserving model order reduction (MOR) of linear port-Hamiltonian differential-algebraic equation systems (pH-DAEs). The model class of pH-DAEs enables energy-based modeling and a flexible coupling of models across different physical domains. This makes them particularly suited for the simulation and control of complex technical systems. To promote the use of recent theoretical findings in engineering practice, efficient software solutions are required. In this work, we illustrate how possibly large-scale pH-DAEs can be efficiently stored and interconnected in MATLAB in an object-oriented way. We discuss three structure-preserving MOR strategies that are supported by MORpH and demonstrate the application and performance of selected MOR algorithms by means of two benchmark examples.

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KW - passivity

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KW - structure-preserving model reduction

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MORpH: Model reduction of linear port-Hamiltonian systems in MATLAB

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