Interconnection and Damping Assignment - Passivity Based Control of Irreversible Port Hamiltonian Systems

Authors

Hector Ramirez, Yann Le Gorrec, Bernhard Maschke

Abstract

Irreversible port Hamiltonian systems are a class of pseudo Hamiltonian systems that expresses both the conservation of energy and the irreversible entropy production as a structural property. These systems encompass a large class of irreversible themordynamic systems, such as heat exchangers and chemical reactors, and also multi-energy systems such as coupled mechanic-thermodynamic systems. In recent work the irreversible port-Hamiltonian formulation has been used to derive a closed-loop stability condition using an energy based availability function, generated by the internal energy, as Lyapunov function. This paper presents an important extension of the previous results: the system theoretic interpretation of the stability condition in terms of conjugated inputs and outputs and the formulation of the control as an interconnection and damping assignment - passivity based control problem. A constructive method to derive the stabilizing control law is proposed and the formalism is illustrated on a general CSTR example.

Keywords

Irreversible port Hamiltonian systems; Passivity based control; Irreversible thermodynamics; Entropy creation; CSTR

Citation

• Journal: IFAC Proceedings Volumes
• Year: 2014
• Volume: 47
• Issue: 3
• Pages: 9111–9116
• Publisher: Elsevier BV
• DOI: 10.3182/20140824-6-za-1003.02388
• Note: 19th IFAC World Congress

BibTeX

@article{Ramirez_2014,
  title={{Interconnection and Damping Assignment - Passivity Based Control of Irreversible Port Hamiltonian Systems}},
  volume={47},
  ISSN={1474-6670},
  DOI={10.3182/20140824-6-za-1003.02388},
  number={3},
  journal={IFAC Proceedings Volumes},
  publisher={Elsevier BV},
  author={Ramirez, Hector and Gorrec, Yann Le and Maschke, Bernhard},
  year={2014},
  pages={9111--9116}
}

Download the bib file

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