Exponential stability of boundary controlled port Hamiltonian systems with dynamic feedback

Authors

Hector Ramirez, Hans Zwart, Yann Le Gorrec

Abstract

In this paper it is shown that an input strictly passive linear finite dimensional port-Hamiltonian controller exponentially stabilizes a large class of boundary control systems. This follows since the finite dimensional controller dissipates the energy flowing through the boundaries of the infinite dimensional system. The assumptions on the controller is that it is input strictly passive and that it is exponentially stable. The result is illustrated on the model of a boundary controlled DNA-manipulation process.

Keywords

Boundary control systems; infinite dimensional port Hamiltonian systems; exponential stability; passivity

Citation

• Journal: IFAC Proceedings Volumes
• Year: 2013
• Volume: 46
• Issue: 26
• Pages: 115–120
• Publisher: Elsevier BV
• DOI: 10.3182/20130925-3-fr-4043.00085
• Note: 1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations

BibTeX

@article{Ramirez_2013,
  title={{Exponential stability of boundary controlled port Hamiltonian systems with dynamic feedback}},
  volume={46},
  ISSN={1474-6670},
  DOI={10.3182/20130925-3-fr-4043.00085},
  number={26},
  journal={IFAC Proceedings Volumes},
  publisher={Elsevier BV},
  author={Ramirez, Hector and Zwart, Hans and Le Gorrec, Yann},
  year={2013},
  pages={115--120}
}

Download the bib file

References

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