Alternative Passive Maps for Infinite-Dimensional Systems Using Mixed-Potential Functions

Authors

Krishna Chaitanya Kosaraju, Ramkrishna Pasumarthy, Dimitri Jeltsema

Abstract

This paper aims at developing a Brayton-Moser analogue of an infinite-dimensional system in the port-Hamiltonian framework, defined with respect to a Stokes-Dirac structure. It is shown that such a formulation leads to defining alternative passive maps, which differ from those in the port-Hamiltonian framework via a “power-like” function called the mixed-potential function. This mixed-potential function can also be used for stability analysis. We present our results for a general port-Hamiltonian system, with Maxwell’s equations and the transmission line, with nonzero boundary conditions, as examples.

Keywords

Distributed-parameter systems; infinite-dimensional systems; Brayton-Moser equations; gradient systems; passivity; port-Hamiltonian systems

Citation

• Journal: IFAC-PapersOnLine
• Year: 2015
• Volume: 48
• Issue: 13
• Pages: 1–6
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2015.10.205
• Note: 5th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2015- Lyon, France, 4–7 July 2015

BibTeX

@article{Chaitanya_Kosaraju_2015,
  title={{Alternative Passive Maps for Infinite-Dimensional Systems Using Mixed-Potential Functions}},
  volume={48},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2015.10.205},
  number={13},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Chaitanya Kosaraju, Krishna and Pasumarthy, Ramkrishna and Jeltsema, Dimitri},
  year={2015},
  pages={1--6}
}

Download the bib file

References

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