On Factorization, Interconnection and Reduction of Collocated Port-Hamiltonian Systems

Authors

Ricardo Lopezlena, Jacquelien M.A. Scherpen

Abstract

Based on a geometric interpretation of nonlinear balanced reduction some implications of this approach are analyzed in the case of collocated port-Hamiltonian systems which have a certain balance in its structure. Furthermore, additional examples of reduction for this class of systems are presented.

Keywords

Nonlinear systems; Hamiltonian systems; model approximation; model reduction; models

Citation

• Journal: IFAC Proceedings Volumes
• Year: 2004
• Volume: 37
• Issue: 21
• Pages: 499–504
• Publisher: Elsevier BV
• DOI: 10.1016/s1474-6670(17)30518-9
• Note: 2nd IFAC Symposium on System Structure and Control, Oaxaca, Mexico, December 8-10, 2004

BibTeX

@article{Lopezlena_2004,
  title={{On Factorization, Interconnection and Reduction of Collocated Port-Hamiltonian Systems}},
  volume={37},
  ISSN={1474-6670},
  DOI={10.1016/s1474-6670(17)30518-9},
  number={21},
  journal={IFAC Proceedings Volumes},
  publisher={Elsevier BV},
  author={Lopezlena, Ricardo and Scherpen, Jacquelien M.A.},
  year={2004},
  pages={499--504}
}

Download the bib file

References

• Lopezlena, A geometric viewpoint of nonlinear equilibrated reduction (2004)
• Lopezlena, Lumped approximation of a transmission line with an alternative geometric discretization (2004)
• Lopezlena, Energy-storage balanced reduction of port-hamiltonian systems. (2003)
• Moore, B. Principal component analysis in linear systems: Controllability, observability, and model reduction. IEEE Trans. Automat. Contr. 26, 17–32 (1981) – 10.1109/tac.1981.1102568
• Richards, G. G. & Tan, O. T. Simplified Models for Induction Machine Transients under Balanced and Unbalanced Conditions. IEEE Trans. on Ind. Applicat. IA-17, 15–21 (1981) – 10.1109/tia.1981.4503892
• van der Schaft, A. Controllability and observability for affine nonlinear Hamiltonian systems. IEEE Trans. Automat. Contr. 27, 490–492 (1982) – 10.1109/tac.1982.1102900
• van der Schaft, A. J. Implicit Hamiltonian systems with symmetry. Reports on Mathematical Physics 41, 203–221 (1998) – 10.1016/s0034-4877(98)80176-6
• van der Schaft, (2000)
• van der Schaft, Slow dynamics of hamil-tonian systems (2002)