Disturbance Structure Decomposition for Distributed Parameter port-Hamiltonian Systems
Authors
Abstract
In this paper, a structure decomposition of disturbances for distributed parameter port-Hamiltonian systems is presented. The distributed parameter port-Hamiltonian system is defined by a Stokes-Dirac structure. The Stokes-Dirac structure has been extended to a structure of the distributed energy that is exchanged on the internal domain besides the supplied energy through the boundary. On the other hand, if the system exists on a contractible region: in other words, it has the same homotopy type as a one point, then the de Rham cohomology of contractible manifolds is trivial. Then any differential form on a contractible region can be decomposed into an exact form and a dual exact form. As a result, these forms correspond to the boundary energy structure and the distributed energy structure, respectively. First, we show that any disturbance can be decomposed into a boundary energy structure and a distributed energy structure. Next, the system representation is given through the decomposition. Finally, one physical example is presented.
Citation
- Journal: Transactions of the Society of Instrument and Control Engineers
- Year: 2005
- Volume: 41
- Issue: 10
- Pages: 821–828
- Publisher: The Society of Instrument and Control Engineers
- DOI: 10.9746/sicetr1965.41.821
BibTeX
@article{NISHIDA_2005,
title={{Disturbance Structure Decomposition for Distributed Parameter port-Hamiltonian Systems}},
volume={41},
ISSN={0453-4654},
DOI={10.9746/sicetr1965.41.821},
number={10},
journal={Transactions of the Society of Instrument and Control Engineers},
publisher={The Society of Instrument and Control Engineers},
author={NISHIDA, Gou and YAMAKITA, Masaki},
year={2005},
pages={821--828}
}