Explicit second-order accurate method for the passive guaranteed simulation of port-Hamiltonian systems

Authors

N. Lopes, T. Hélie, A. Falaize

Abstract

This paper presents a method for the passive guaranteed simulation of a class of finite-dimensional nonlinear port-Hamiltonian systems. This method combines two processes to reach both the second order accuracy and explicit computations. First, we design a one-step two- stage implicit numerical method for Port-Hamiltonian systems that preserves passivity. Second, a change of state is proposed to yield an explicit computation. It requires assumptions on the Hamiltonian variations. The complete method is illustrated on two basic examples for which these assumptions are fulfilled.

Keywords

energy storage; port-Hamiltonian systems; nonlinear model; nonlinear model; partial differential equations; passive simulation; consistency

Citation

• Journal: IFAC-PapersOnLine
• Year: 2015
• Volume: 48
• Issue: 13
• Pages: 223–228
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2015.10.243
• Note: 5th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2015- Lyon, France, 4–7 July 2015

BibTeX

@article{Lopes_2015,
  title={{Explicit second-order accurate method for the passive guaranteed simulation of port-Hamiltonian systems}},
  volume={48},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2015.10.243},
  number={13},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Lopes, N. and Hélie, T. and Falaize, A.},
  year={2015},
  pages={223--228}
}

Download the bib file

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