Port-Hamiltonian observer design for plasma profile estimation in tokamaks

Authors

Benjamin Vincent, Nicolas Hudon, Laurent Lefèvre, Denis Dochain

Abstract

This paper considers the problem of estimating magnetic and temperature profiles in tokamaks using nonlinear port-Hamiltonian observers. Two classes of observers preserving the port-Hamiltonian structure are considered: a proportional observer; and a proportional observer with an integral action. It is shown that the proposed passive observers are stable with respect to the interconnection of the observed system and the observer. For both designs, the observation gains are chosen such that the error dynamics takes the form of a port-Hamiltonian system. Simulation results for plasma profiles estimation illustrate the proposed observers performance, including in cases where their key physical parameters are badly known.

Keywords

Port-Hamiltonian systems; Nonlinear passive observers; Tokamaks; Distributed parameter systems; Profile estimation

Citation

• Journal: IFAC-PapersOnLine
• Year: 2016
• Volume: 49
• Issue: 24
• Pages: 93–98
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2016.10.761
• Note: 2th IFAC Workshop on Thermodynamic Foundations for a Mathematical Systems Theory TFMST 2016- Vigo, Spain, 28—30 September 2016

BibTeX

@article{Vincent_2016,
  title={{Port-Hamiltonian observer design for plasma profile estimation in tokamaks}},
  volume={49},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2016.10.761},
  number={24},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Vincent, Benjamin and Hudon, Nicolas and Lefèvre, Laurent and Dochain, Denis},
  year={2016},
  pages={93--98}
}

Download the bib file

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