Abstract
We consider a port-Hamiltonian representation for infinite-dimensional systems described by partial differential equations. Then the control by interconnection method is applied, by using a finite-dimensional controller system interacting via an energy port at the boundary of the infinite-dimensional system. This will be demonstrated by means of a heavy chain system, modelled as a partial differential equation. Furthermore, we sketch the stability proof in the infinite-dimensional setting. To motivate for the presented ideas we recapitulate the well-known concepts for finite-dimensional systems as well, but mainly as a starting point for the discussion of the infinite setting.
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