Symplectic discretization of Port Controlled Hamiltonian systems

In this paper, a time-discretization framework is proposed for Port Controlled Hamiltonian (PCH) systems using combined discretization rules for the flows and efforts, which preserves the continuous-time structure. As examples for this formulation, three symplectic time-discretization schemes are presented, using classic discretization rules (implicit/explicit Euler, implicit mid-point and implicit trapezoidal), for the flows and efforts. As continuous-time model for exemplification using this framework, a linear capacitor microphone circuit is selected. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.