The changing component of the magnetic fields that produce eddy currents can come from two sources: a relative velocity between the field and the target or change in the strength of the field itself. For a number of reasons the bulk of EC actuation research has focused on the latter mechanism. Time-varying electromagnets are easier to both analyze and implement.
However, two motors spinning magnets to create eddy-currents through moving magnetic fields may be able to achieve something that is much harder with electromagnets: attraction AND repulsion without a complicated scheme.
The motor-magnet actuator says to the plate: "come here"
"Now go away"
Combine that with "sashay left and right"
And you just may be able to dance with a spaceship.