On Casimir Functionals for infinite-dimensional Port-Hamiltonian Control Systems

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Abstract

We consider infinite-dimensional Port-Hamiltonian systems with respect to control issues. In contrast to the well-established representation relying on Stokes-Dirac structures that are based on skew-adjoint differential operators and the use of energy variables, we employ a different port-Hamiltonian framework. Based on this system representation conditions for Casimir functionals will be derived where in this context the variational derivative plays an extraordinary role. Furthermore the coupling of finite- and infinite-dimensional systems will be analyzed in the spirit of the control by interconnection problem.
Original languageEnglish
Article number6389716
Pages (from-to)1823 - 1828
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume58
Issue number7
DOIs
Publication statusPublished - Jun 2013

Fields of science

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  • 202003 Automation

JKU Focus areas

  • Mechatronics and Information Processing

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