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Explicit port-Hamiltonian formulation of bond graphs with dependent storages

Pfeifer, Martin; Caspart, Sven; Muller, Charles; Pfeiffer, Silja; Krebs, Stefan; Hohmann, Sören

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.

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Postprint §
DOI: 10.5445/IR/1000127857
Frei zugänglich ab 01.01.2022
Zugehörige Institution(en) am KIT Institut für Regelungs- und Steuerungssysteme (IRS)
Institut für Algebra und Geometrie (IAG)
Publikationstyp Proceedingsbeitrag
Publikationsdatum 31.12.2020
Sprache Englisch
Identifikator KITopen-ID: 1000127857
Erschienen in Proceedings of the 21st IFAC World Congress
Veranstaltung 21st World Congress of the International Federation of Automatic Control (IFAC-V 2020), Online, 11.07.2020 – 17.07.2020
Verlag International Federation of Automatic Control (IFAC)
Schlagwörter Port-Hamiltonian systems, bond graphs, dependent storages, state-space models, model generation
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