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On the Interconnection Structures of Irreversible Physical Systems

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Book cover Lagrangian and Hamiltonian Methods for Nonlinear Control 2006

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 366))

Abstract

An energy balance equation with respect to a control contact system provides port outputs which are conjugated to inputs. These conjugate variables are used to define the composition of port contact systems in the framework of contact geometry. We then propose a power-conserving interconnection structure, which generalizes the interconnection by Dirac structures in the Hamiltonian formalism. Furthermore, the composed system is again a port contact system, as illustrated on the example of a gas-piston system undergoing some irreversible transformation.

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Author information

Authors and Affiliations

  1. Institute for Mathematics and Computer Science, University of Groningen, the Netherlands

    Damien Eberard & Arjan J. van der Schaft

  2. Laboratoire d’Automatique et de Génie des Procédés UMR CNRS 5007, Université Lyon 1, France

    Bernhard Maschke

Authors
  1. Damien Eberard
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  2. Bernhard Maschke
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  3. Arjan J. van der Schaft
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Editor information

Editors and Affiliations

  1. Mechanical Engineering Department, University of California at Santa Barbara, 2338 Engineering Bldg II, Santa Barbara, CA, 93106-5070, USA

    Francesco Bullo

  2. Department of Mechanical Science and Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603, Japan

    Kenji Fujimoto

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© 2007 Springer-Verlag Berlin Heidelberg

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Eberard, D., Maschke, B., van der Schaft, A.J. (2007). On the Interconnection Structures of Irreversible Physical Systems. In: Allgüwer, F., et al. Lagrangian and Hamiltonian Methods for Nonlinear Control 2006. Lecture Notes in Control and Information Sciences, vol 366. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73890-9_16

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  • DOI: https://doi.org/10.1007/978-3-540-73890-9_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73889-3

  • Online ISBN: 978-3-540-73890-9

  • eBook Packages: EngineeringEngineering (R0)

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