Hamiltonian formulation of bond graphs


Golo, Goran and Schaft, Arjan van der and Breedveld, Peter C. and Maschke, Bernhard M. (2003) Hamiltonian formulation of bond graphs. In: R. Johansson & A. Rantzer (Eds.), Nonlinear and Hybrid Systems in Automotive Control. Springer, London, UK, pp. 351-372. ISBN 9781852336523

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Abstract:This paper deals with the mathematical formulation of bond graphs. It is proven that the power continuous part of bond graphs, the junction structure, can be associated with a Dirac structure and that the equations describing a bond graph model correspond to a port Hamiltonian system. The conditions for well-posedness of the modelled system are given, and representations suitable for numerical simulation are derived. The index of the representations is analyzed and sufficient conditions for computational eÆciency are given. The results are applied to some models arising in automotive applications
Item Type:Book Section
Copyright:© 2003 Springer
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/69095
Publisher URL:http://www.springer.com/engineering/book/978-1-85233-652-3
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