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L2-gain of Port-Hamiltonian systems and application to a biochemical fermenter

Author(s):

J.K. Johnsen, F. Dörfler, F. Allgöwer
Conference/Journal:

American Control Conference, Seattle, Washington, USA, pp. 153-158
Abstract:

We consider the L2-gain of nonlinear Port- Hamiltonian systems. Using the Hamiltonian and an additional scaling matrix, we show that an upper bound on the L2-gain can be computed by solving a matrix inequality. The L2-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-boundedmodel uncertainties. This application of the L2-gain is demonstrated with a biochemical fermentation process where the specific cell growth rate is unknown but contained in a parameter interval.

Year:

2008
Type of Publication:

(01)Article
Supervisor:



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% Autogenerated BibTeX entry
@InProceedings { JohD_r:2008:IFA_4925,
    author={J.K. Johnsen and F. D{\"o}rfler and F. Allg{\"o}wer},
    title={{L2-gain of Port-Hamiltonian systems and application to a
	  biochemical fermenter}},
    booktitle={American Control Conference},
    pages={153--158},
    year={2008},
    address={Seattle, Washington, USA},
    month=jun,
    url={http://control.ee.ethz.ch/index.cgi?page=publications;action=details;id=4925}
}
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