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Main Title: Model reduction techniques for linear constant coefficient port-Hamiltonian differential-algebraic systems
Author(s): Hauschild, Sarah-Alexa
Marheineke, Nicole
Mehrmann, Volker
Type: Research Paper
Abstract: Port-based network modeling of multi-physics problems leads naturally to a formulation as port-Hamiltonian differential-algebraic system. In this way, the physical properties are directly encoded in the structure of the model. Since the state space dimension of such systems may be very large, in particular when the model is a space-discretized partial differential-algebraic system, in optimization and control there is a need for model reduction methods that preserve the port-Hamiltonian structure while keeping the (explicit and implicit) algebraic constraints unchanged. To combine model reduction for differential-algebraic equations with port-Hamiltonian structure preservation, we adapt two classes of techniques (reduction of the Dirac structure and moment matching) to handle port-Hamiltonian differential-algebraic equations. The performance of the methods is investigated for benchmark examples originating from semi-discretized flow problems and mechanical multibody systems.
Subject(s): structure-preserving model reduction
index reduction
port-Hamiltonian differential-algebraic system
moment matching
effort constraint method
flow constraint method
Issue Date: 30-Jan-2019
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: control problems
approximation by rational functions
structure-preserving model reduction
index reduction
port-Hamiltonian differential-algebraic system
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2019, 02
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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