On The Shifted Passivity of Continuous Bioreactors

Authors

Jean-Yves Dieulot, Mohit Makkar

Abstract

This paper addresses the passivity of continuous bioreactors around their non-zero equilibrium point by representing the system into a port-Hamiltonian system. In case of continuous bioreactors, the steady-state values of substrate(s) and biomass are not zero, thus passivity at shifted equilibrium point becomes interesting. A general representation of bioreactors is written in a form that allows to derive very simple conditions to prove their shifted passivity, using a quadratic energy function. In addition to that, the case of enforcing shifted passivity using feedback proportional control for general representation of bioreactors is also considered. Practical conditions are given for general single microbial reactions, and an example of anaerobic digestion of volatile fatty acids illustrates the multiple microbial reactions case.

Citation

• Journal: 2024 10th International Conference on Control, Decision and Information Technologies (CoDIT)
• Year: 2024
• Volume:
• Issue:
• Pages: 1548–1552
• Publisher: IEEE
• DOI: 10.1109/codit62066.2024.10708194

BibTeX

@inproceedings{Dieulot_2024,
  title={{On The Shifted Passivity of Continuous Bioreactors}},
  DOI={10.1109/codit62066.2024.10708194},
  booktitle={{2024 10th International Conference on Control, Decision and Information Technologies (CoDIT)}},
  publisher={IEEE},
  author={Dieulot, Jean-Yves and Makkar, Mohit},
  year={2024},
  pages={1548--1552}
}

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