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. In this paper 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