In order to study the effects of thermal and quantum fluctuations on t
he intrinsic critical velocity for vortex production, it is advantageo
us to drive superfluid He-4 through a small aperture at constant press
ure head. For 2 pi phase slip events, this gives a constant Josephson
frequency and a corresponding constant vortex nucleation rate. In the
usual relaxation transient experiments, the pressure head decays in ti
me preventing observation at fixed nucleation rate. Therefore, we have
developed a constant pressure-head drive system using feedback contro
l. The technique, which senses the pressure difference across a flow a
perture with a capacitive pressure gauge, can maintain pressure drives
as low as 0.5 mPa (f(j) = 35 Hz).