Distributed and backstepping boundary controls to achieve IDA-PBC design
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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