Discrete port Hamiltonian systems

V. Talasila, J. Clemente-Gallardo, J.J. Clemente Gallardo, Arjan van der Schaft

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

2 Citations (Scopus)

Abstract

Either from a control theoretic viewpoint or from an analysis viewpoint it is necessary to convert smooth systems to discrete systems, which can then be implemented on computers for numerical simulations. Discrete models can be obtained either by discretizing a smooth model, or by directly modeling at the discrete level itself. One of the goals of this paper is to model port-Hamiltonian systems at the discrete level. We also show that the dynamics of the discrete models we obtain exactly correspond to the dynamics obtained via a usual discretization procedure. In this sense we offer an alternative to the usual procedure of modeling (at the smooth level) and discretization.
Original languageUndefined
Title of host publicationProceedings of the 16th IFAC World Congress
EditorsP Horacek, M Simandl, P Zitek
Place of PublicationPrague
PublisherInternational Federation of Automatic Control
Pages495-500
Number of pages9
ISBN (Print)978-0-08-045108-4
Publication statusPublished - 2005
Event16th IFAC World Congress 2005 - Prague, Czech Republic
Duration: 3 Jul 20058 Jul 2005
Conference number: 16
http://www.utia.cas.cz/news/608

Publication series

Name
PublisherElsevier
Volume16

Conference

Conference16th IFAC World Congress 2005
CountryCzech Republic
CityPrague
Period3/07/058/07/05
Internet address

Keywords

  • METIS-225132
  • Port Hamiltonian Systems
  • Discrete mechanics
  • EWI-16870
  • IR-69170

Cite this

Talasila, V., Clemente-Gallardo, J., Clemente Gallardo, J. J., & van der Schaft, A. (2005). Discrete port Hamiltonian systems. In P. Horacek, M. Simandl, & P. Zitek (Eds.), Proceedings of the 16th IFAC World Congress (pp. 495-500). Prague: International Federation of Automatic Control.
Talasila, V. ; Clemente-Gallardo, J. ; Clemente Gallardo, J.J. ; van der Schaft, Arjan. / Discrete port Hamiltonian systems. Proceedings of the 16th IFAC World Congress. editor / P Horacek ; M Simandl ; P Zitek. Prague : International Federation of Automatic Control, 2005. pp. 495-500
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Talasila, V, Clemente-Gallardo, J, Clemente Gallardo, JJ & van der Schaft, A 2005, Discrete port Hamiltonian systems. in P Horacek, M Simandl & P Zitek (eds), Proceedings of the 16th IFAC World Congress. International Federation of Automatic Control, Prague, pp. 495-500, 16th IFAC World Congress 2005, Prague, Czech Republic, 3/07/05.

Discrete port Hamiltonian systems. / Talasila, V.; Clemente-Gallardo, J.; Clemente Gallardo, J.J.; van der Schaft, Arjan.

Proceedings of the 16th IFAC World Congress. ed. / P Horacek; M Simandl; P Zitek. Prague : International Federation of Automatic Control, 2005. p. 495-500.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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AU - Talasila, V.

AU - Clemente-Gallardo, J.

AU - Clemente Gallardo, J.J.

AU - van der Schaft, Arjan

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N2 - Either from a control theoretic viewpoint or from an analysis viewpoint it is necessary to convert smooth systems to discrete systems, which can then be implemented on computers for numerical simulations. Discrete models can be obtained either by discretizing a smooth model, or by directly modeling at the discrete level itself. One of the goals of this paper is to model port-Hamiltonian systems at the discrete level. We also show that the dynamics of the discrete models we obtain exactly correspond to the dynamics obtained via a usual discretization procedure. In this sense we offer an alternative to the usual procedure of modeling (at the smooth level) and discretization.

AB - Either from a control theoretic viewpoint or from an analysis viewpoint it is necessary to convert smooth systems to discrete systems, which can then be implemented on computers for numerical simulations. Discrete models can be obtained either by discretizing a smooth model, or by directly modeling at the discrete level itself. One of the goals of this paper is to model port-Hamiltonian systems at the discrete level. We also show that the dynamics of the discrete models we obtain exactly correspond to the dynamics obtained via a usual discretization procedure. In this sense we offer an alternative to the usual procedure of modeling (at the smooth level) and discretization.

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KW - EWI-16870

KW - IR-69170

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Talasila V, Clemente-Gallardo J, Clemente Gallardo JJ, van der Schaft A. Discrete port Hamiltonian systems. In Horacek P, Simandl M, Zitek P, editors, Proceedings of the 16th IFAC World Congress. Prague: International Federation of Automatic Control. 2005. p. 495-500