GENERALIZED STATE SPACE AVERAGING FOR PORT CONTROLLED HAMILTONIAN SYSTEMS

Authors

Carles Batlle, Enric Fossas, Robert Griñó, Sonia Martínez

Abstract

Generalized state space averaging (GSSA) is a powerful way to treat analysis and control problems for variable structure systems (VSS). On the other hand, port-controlled Hamiltonian systems (PCHS) describe, in a modular, network-like way, the interconnection of physical systems using the transfer of energy as the unifying concept. In this paper, a relationship between the PCHS structures of a system and its GSSA expansion is established for a class of Hamiltonians (which includes the quadratic ones), and this is used to design controls from a GSSA truncation which, under certain restrictions, can be used for the full original system.

Keywords

variable structure systems; generalized state space; phase space; converters

Citation

Journal: IFAC Proceedings Volumes
Year: 2005
Volume: 38
Issue: 1
Pages: 836–841
Publisher: Elsevier BV
DOI: 10.3182/20050703-6-cz-1902.00795
Note: 16th IFAC World Congress

BibTeX

@article{Batlle_2005,
  title={{GENERALIZED STATE SPACE AVERAGING FOR PORT CONTROLLED HAMILTONIAN SYSTEMS}},
  volume={38},
  ISSN={1474-6670},
  DOI={10.3182/20050703-6-cz-1902.00795},
  number={1},
  journal={IFAC Proceedings Volumes},
  publisher={Elsevier BV},
  author={Batlle, Carles and Fossas, Enric and Griñó, Robert and Martínez, Sonia},
  year={2005},
  pages={836--841}
}

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References

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