Analysis and comparison of port-Hamiltonian formulations for field theories - demonstrated by means of the Mindlin plate
Authors
Markus Schoberl, Andreas Siuka
Abstract
This paper focuses on the port-Hamiltonian formulation of systems described by partial differential equations. Based on a variational principle we derive the equations of motion as well as the boundary conditions in the well-known Lagrangian framework. Then it is of interest to reformulate the equations of motion in a port-Hamiltonian setting, where we compare the approach based on Stokes-Dirac structures to a Hamiltonian setting that makes use of the involved bundle structure similar to the one on which the variational approach is based. We will use the Mindlin plate, a distributed parameter system with spatial domain of dimension two, as a running example.
Citation
- Journal: 2013 European Control Conference (ECC)
- Year: 2013
- Volume:
- Issue:
- Pages: 548–553
- Publisher: IEEE
- DOI: 10.23919/ecc.2013.6669137
BibTeX
@inproceedings{Schoberl_2013,
title={{Analysis and comparison of port-Hamiltonian formulations for field theories - demonstrated by means of the Mindlin plate}},
DOI={10.23919/ecc.2013.6669137},
booktitle={{2013 European Control Conference (ECC)}},
publisher={IEEE},
author={Schoberl, Markus and Siuka, Andreas},
year={2013},
pages={548--553}
}