Port-Hamiltonian (PH) systems' theory is a powerful framework for modeling, simulation and control of interconnected multiphysical systems. A consistent numerical treatment of PH systems requires the preservation of the underlying Dirac structure, which represents interconnections and energy conversions. In this talk it will be shown how symplectic integration can be used to define discrete-time PH systems and to implement nonlinear controls in slowly sampled systems with high accuracy.[-]