Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14690
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Main Title: Optimal robustness of port-Hamiltonian systems
Author(s): Mehrmann, Volker
Van Dooren, Paul
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15917
http://dx.doi.org/10.14279/depositonce-14690
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: We construct optimally robust port-Hamiltonian realizations of a given rational transfer function that represents a passive system. We show that the realization with a maximal passivity radius is a normalized port-Hamiltonian one. Its computation is linked to a particular solution of a linear matrix inequality that defines passivity of the transfer function, and we provide an algorithm to construct this optimal solution. We also consider the problem of finding the nearest passive system to a given non-passive one and provide a simple but suboptimal solution.
Subject(s): linear matrix inequality
port-Hamiltonian system
passivity
robustness
Issue Date: 27-Nov-2019
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 93D09 Robust stability
93C05 Linear systems
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2019, 07
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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