  In this paper, we establish the novel concept of Krasovskii passivity for
sampled discrete-time nonlinear systems, enabling Krasovskii-passivity-based
control design under sampling. We consider two separate control objectives:
stabilization and output consensus, where the latter is studied under the
presence of an unknown constant disturbance. Inspired by methodologies in the
continuous-time case, we develop sampled-data control schemes for each control
objective based on Krasovskii passivity. The proposed sampled discrete-time
controllers are respectively validated through simulations on a DC microgrid of
boost converters and a DC microgrid of buck converters whose continuous-time
models and their implicit midpoint discretizations are Krasovskii passive in
each time scale.
