Energy-Based Control of Nonlinear Infinite-Dimensional Port-Hamiltonian Systems with Dissipation

Authors

T. Malzer, H. Rams, M. Schoberl

Abstract

In this paper, we consider nonlinear PDEs in a port-Hamiltonian setting based on an underlying jet-bundle structure. We restrict ourselves to systems with 1-dimensional spatial domain and 2nd-order Hamiltonian including certain dissipation models that can be incorporated in the port-Hamiltonian framework by means of appropriate differential operators. For this system class, energy-based control by means of Casimir functionals as well as energy balancing is analysed and demonstrated using a nonlinear Euler-Bernoulli beam.

Citation

• Journal: 2018 IEEE Conference on Decision and Control (CDC)
• Year: 2018
• Volume:
• Issue:
• Pages: 3746–3751
• Publisher: IEEE
• DOI: 10.1109/cdc.2018.8619380

BibTeX

@inproceedings{Malzer_2018,
  title={{Energy-Based Control of Nonlinear Infinite-Dimensional Port-Hamiltonian Systems with Dissipation}},
  DOI={10.1109/cdc.2018.8619380},
  booktitle={{2018 IEEE Conference on Decision and Control (CDC)}},
  publisher={IEEE},
  author={Malzer, T. and Rams, H. and Schoberl, M.},
  year={2018},
  pages={3746--3751}
}

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References

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