English

On the port-Hamiltonian representation of systems described by partial differential equations

Optimization and Control 2013-08-07 v2 Differential Geometry Dynamical Systems

Abstract

We consider infinite dimensional port-Hamiltonian systems. Based on a power balance relation we introduce the port-Hamiltonian system representation where we pay attention to two different scenarios, namely the non-differential operator case and the differential operator case regarding the structural mapping, the dissipation mapping and the in/output mapping. In contrast to the well-known representation on the basis of the underlying Stokes-Dirac structure our approach is not necessarily based on using energy-variables which leads to a different port-Hamiltonian representation of the analyzed partial differential equations.

Keywords

Cite

@article{arxiv.1207.4732,
  title  = {On the port-Hamiltonian representation of systems described by partial differential equations},
  author = {Markus Schöberl and Andreas Siuka},
  journal= {arXiv preprint arXiv:1207.4732},
  year   = {2013}
}

Comments

A definitive version has been published in ifac-papersonline.net