Authors

N.M. Trang VU, L. LEFÈVRE, R. NOUAILLETAS

Abstract

An IDA-PBC-like control synthesis for infinite dimensional port Hamiltonian systems is investigated. As for the finite dimensional case, a feedback control transforms the original model into a closed loop target Hamiltonian model. Both distributed control and boundary control are used. The finite rank distributed control is determined to solve an average IDA-PBC matching equation. A backstepping boundary control is used to stabilize the matching error. The control model chosen to illustrate the approach is the so-called resistive diffusion equation for the radial diffusion of the poloidal magnetic flux.

Keywords

distributed parameters systems; port-Hamiltonian systems; IDA-PBC control; back- stepping control; plasma control

Citation

  • Journal: IFAC-PapersOnLine
  • Year: 2015
  • Volume: 48
  • Issue: 1
  • Pages: 482–487
  • Publisher: Elsevier BV
  • DOI: 10.1016/j.ifacol.2015.05.034
  • Note: 8th Vienna International Conferenceon Mathematical Modelling- MATHMOD 2015

BibTeX

@article{Trang_VU_2015,
  title={{Distributed and backstepping boundary controls to achieve IDA-PBC design}},
  volume={48},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2015.05.034},
  number={1},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Trang VU, N.M. and LEFÈVRE, L. and NOUAILLETAS, R.},
  year={2015},
  pages={482--487}
}

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References