A pseudo-Port-Hamiltonian Representation and Control of a Continuous Bioreactor

Authors

Abstract

Port-Hamiltonian (PH) systems are energy-rooted representations of dynamical systems whichallow, through energy shaping, to design controller based on physical considerations. Since,bioreactions kinetics are based on data fitting, the obtention of a passive or a PH representationof a continuous bioreactor is not straightforward. Its is shown that an adequate change ofcoordinates and the use of appropriate energy functions allow for a pseudo-PH formulation ofthe dynamics of continuous fermenters. Different candidate energy functions are being testedand an adaptive controller is designed to cope with uncertainties on the specific growth rate.Simulations show the relevance of the approach.

Keywords

Adaptive control; fermentation; continuous bioreactor; Port-Hamiltonian; passivity

Citation

Journal: IFAC-PapersOnLine
Year: 2015
Volume: 48
Issue: 11
Pages: 186–191
Publisher: Elsevier BV
DOI: 10.1016/j.ifacol.2015.09.181
Note: 1st IFAC Conference onModelling, Identification andControl of Nonlinear SystemsMICNON 2015- Saint Petersburg, Russia, 24-26 June 2015

BibTeX

@article{Dieulot_2015,
  title={{A pseudo-Port-Hamiltonian Representation and Control of a Continuous Bioreactor}},
  volume={48},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2015.09.181},
  number={11},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Dieulot, Jean-Yves and Makkar, Mohit},
  year={2015},
  pages={186--191}
}

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