Explicit Port-Hamiltonian Formulation of Bond Graphs with Dependent Storages
Authors
Martin Pfeifer, Sven Caspart, Charles Muller, Silja Pfeiffer, Stefan Krebs, Sören Hohmann
Abstract
Explicit port-Hamiltonian systems (PHSs) are the starting point for many powerful controller and observer design methods. It is well-known that explicit PHSs can be formulated on the basis of bond graphs. Indeed, the port-Hamiltonian formulation of bond graphs without dependent storages has been well investigated. However, little effort has been made towards bond graphs with dependent storages. This is a problem as dependent storages frequently occur in models from many engineering fields. In this paper, we address the explicit port-Hamiltonian formulation of bond graphs with dependent storages. Our idea is to express the port-Hamiltonian dynamics and output as functions of only the system inputs and independent storages. The main result is a rigorous and constructive method to formulate bond graphs containing dependent storages as explicit PHSs. An acadamic example illustrates and verifies our method.
Keywords
Port-Hamiltonian systems; bond graphs; dependent storages; state-space models; model generation
Citation
- Journal: IFAC-PapersOnLine
- Year: 2020
- Volume: 53
- Issue: 2
- Pages: 5579–5585
- Publisher: Elsevier BV
- DOI: 10.1016/j.ifacol.2020.12.1570
- Note: 21st IFAC World Congress- Berlin, Germany, 11–17 July 2020
BibTeX
@article{Pfeifer_2020,
title={{Explicit Port-Hamiltonian Formulation of Bond Graphs with Dependent Storages}},
volume={53},
ISSN={2405-8963},
DOI={10.1016/j.ifacol.2020.12.1570},
number={2},
journal={IFAC-PapersOnLine},
publisher={Elsevier BV},
author={Pfeifer, Martin and Caspart, Sven and Muller, Charles and Pfeiffer, Silja and Krebs, Stefan and Hohmann, Sören},
year={2020},
pages={5579--5585}
}
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