(L_{2})-gain of Port-Hamiltonian systems and application to a biochemical fermenter model

Authors

Jorgen K. Johnsen, Florian Dorfler, Frank Allgower

Abstract

We consider the Lscr2-gain of nonlinear Port-Hamiltonian systems. Using the Hamiltonian and an additional scaling matrix, we show that an upper bound on the Lscr2-gain can be computed by solving a matrix inequality. The Lscr2-gain is typically used in combination with the small-gain theorem. In particular it can be used to guarantee robust stability with respect to gain-bounded model uncertainties. This application of the Lscr2-gain is demonstrated with a biochemical fermentation process where the specific cell growth rate is unknown but contained in a parameter interval.

Citation

Journal: 2008 American Control Conference
Year: 2008
Volume:
Issue:
Pages: 153–158
Publisher: IEEE
DOI: 10.1109/acc.2008.4586483

BibTeX

@inproceedings{Johnsen_2008,
  title={{L&lt;inf&gt;2&lt;/inf&gt;-gain of Port-Hamiltonian systems and application to a biochemical fermenter model}},
  DOI={10.1109/acc.2008.4586483},
  booktitle={{2008 American Control Conference}},
  publisher={IEEE},
  author={Johnsen, Jorgen K. and Dorfler, Florian and Allgower, Frank},
  year={2008},
  pages={153--158}
}

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