Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 58, Issue 7, Pages 1823-1828Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2012.2235739
Keywords
Differential geometry; distributed-parameter systems; port-Hamiltonian systems
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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.
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