Abstract
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.
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