On stabilization of nonlinear distributed parameter port-controlled Hamiltonian systems via energy shaping

Energy-shaping techniques have been successfully used for stabilization of nonlinear finite dimensional systems for 20 years now. In particular, for systems described by port-controlled Hamiltonian (PCH) models, the "control by interconnection" method provides a simple and elegant procedure for stabilization of nonlinear systems with finite dissipation. We explore the possibility of extending this technique to the case where the plant contains a distributed parameter subsystem, in the form of a transmission line between the plant and the controller