Well-Posedness and Stability of Infinite-Dimensional Linear Port-Hamiltonian Systems with Nonlinear Boundary Feedback

Authors

Abstract

Boundary feedback stabilisation of linear port-Hamiltonian systems on an interval is considered. Generation and stability results already known for linear feedback are extended to nonlinear dissipative feedback, both to static feedback control and dynamic control via an (exponentially stabilising) nonlinear controller. A design method for nonlinear controllers of linear port-Hamiltonian systems is introduced. As a special case the Euler-Bernoulli beam is considered.

Citation

Journal: SIAM Journal on Control and Optimization
Year: 2019
Volume: 57
Issue: 3
Pages: 1818–1844
Publisher: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/15m1024901

BibTeX

@article{Augner_2019,
  title={{Well-Posedness and Stability of Infinite-Dimensional Linear Port-Hamiltonian Systems with Nonlinear Boundary Feedback}},
  volume={57},
  ISSN={1095-7138},
  DOI={10.1137/15m1024901},
  number={3},
  journal={SIAM Journal on Control and Optimization},
  publisher={Society for Industrial & Applied Mathematics (SIAM)},
  author={Augner, Björn},
  year={2019},
  pages={1818--1844}
}

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References

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