Effort- and flow-constraint reduction methods for structure preserving model reduction of port-Hamiltonian systems

Authors

Rostyslav V. Polyuga, Arjan J. van der Schaft

Abstract

The geometric formulation of general port-Hamiltonian systems is used in order to obtain two structure preserving reduction methods. The main idea is to construct a reduced-order Dirac structure corresponding to zero power flow in some of the energy-storage ports. This can be performed in two canonical ways, called the effort- and the flow-constraint methods. We show how the effort-constraint method can be regarded as a projection-based model reduction method. Both the effort- and flow-constraint reduction methods preserve the stability and passivity properties of the original system, as a consequence of preserving the port-Hamiltonian structure.

Keywords

Port-Hamiltonian systems; Structure preserving model reduction; Dirac structure; Effort-constraint method; Flow-constraint method

Citation

• Journal: Systems & Control Letters
• Year: 2012
• Volume: 61
• Issue: 3
• Pages: 412–421
• Publisher: Elsevier BV
• DOI: 10.1016/j.sysconle.2011.12.008

BibTeX

@article{Polyuga_2012,
  title={{Effort- and flow-constraint reduction methods for structure preserving model reduction of port-Hamiltonian systems}},
  volume={61},
  ISSN={0167-6911},
  DOI={10.1016/j.sysconle.2011.12.008},
  number={3},
  journal={Systems & Control Letters},
  publisher={Elsevier BV},
  author={Polyuga, Rostyslav V. and van der Schaft, Arjan J.},
  year={2012},
  pages={412--421}
}

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