Passivity Based Control method for the diffusion process

Authors

Saida Zenfari, Mohamed Laabissi, Mohammed Elarbi Achhab

Abstract

A passivity based control method is presented for the diffusion process by the use of the concept of available storage and irreversible thermodynamics. A convex extension using the internal energy as generating function will be employed to define a Lyapunov functional for the distributed irreversible port Hamiltonian system (the diffusion process). The latter functional, will be used to suggest a Lyapunov stability condition by applying the so called La Salle’s Invariance principle for infinite dimensional systems on the heat and mass diffusion process.

Keywords

distributed irreversible port hamiltonian systems; diffusion process; Availability energy; La Salle’s invariance principle; passivity based control

Citation

• Journal: IFAC-PapersOnLine
• Year: 2019
• Volume: 52
• Issue: 7
• Pages: 80–84
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2019.07.014
• Note: 3rd IFAC Workshop on Thermodynamic Foundations for a Mathematical Systems Theory TFMST 2019- Louvain-la-Neuve, Belgium, 3–5 July 2019

BibTeX

@article{Zenfari_2019,
  title={{Passivity Based Control method for the diffusion process}},
  volume={52},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2019.07.014},
  number={7},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Zenfari, Saida and Laabissi, Mohamed and Achhab, Mohammed Elarbi},
  year={2019},
  pages={80--84}
}

Download the bib file

References

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