Boundary energy-shaping control of an isothermal tubular reactor

Authors

Alessandro Macchelli, Yann Le Gorrec, Héctor Ramírez

Abstract

This paper illustrates a general synthesis methodology of asymptotic stabilizing, energy-based, boundary control laws that are applicable to a large class of distributed port-Hamiltonian systems. The methodological results are applied on a simplified model of an isothermal tubular reactor. Due to the presence of diffusion and convection, such example, even if relatively easy from a computational point of view, is not trivial. The idea here is to design a state feedback law able to perform the energy-shaping task, i.e. able to render the closed-loop system a port-Hamiltonian system with the same structure, but characterized by a new Hamiltonian with a unique and isolated minimum at the equilibrium. Asymptotic stability is then obtained via damping injection on the boundary and is a consequence of the LaSalle’s Invariance Principle in infinite dimensions.

Citation

• Journal: Mathematical and Computer Modelling of Dynamical Systems
• Year: 2017
• Volume: 23
• Issue: 1
• Pages: 77–88
• Publisher: Informa UK Limited
• DOI: 10.1080/13873954.2016.1232282

BibTeX

@article{Macchelli_2016,
  title={{Boundary energy-shaping control of an isothermal tubular reactor}},
  volume={23},
  ISSN={1744-5051},
  DOI={10.1080/13873954.2016.1232282},
  number={1},
  journal={Mathematical and Computer Modelling of Dynamical Systems},
  publisher={Informa UK Limited},
  author={Macchelli, Alessandro and Le Gorrec, Yann and Ramírez, Héctor},
  year={2016},
  pages={77--88}
}

Download the bib file

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