  To achieve efficient and reliable control of microscopic systems one should
look for driving protocols that mitigate both the average dissipation and
stochastic fluctuations in work. This is especially important in fast driving
regimes in which the system is driven far out of equilibrium, potentially
creating large amounts of unwanted entropy production. Here we characterise
these optimal protocols in rapidly driven classical and quantum systems and
prove that they consist of two discontinuous jumps in the full set of control
variables. These jumps can be tuned to interpolate between processes with
either minimal dissipation or minimal fluctuations, and in some situations
allow for simultaneous minimisation. We illustrate our general results with
rapidly driven closed quantum systems, classical bit erasure and a dissipative
Ising chain driven close to a quantum phase transition.
