  By developing the preceding work on the fast forward of transient phenomena
of quantum tunneling by Khujakulov and Nakamura (Phys. Rev. {\bf A 93}, 022101
(2016) ), we propose a scheme of the exact fast forward of adiabatic control of
stationary tunneling states with use of the electromagnetic field. The idea
allows the acceleration of both the amplitude and phase of wave functions
throughout the fast-forward time range. The scheme realizes the fast-forward
observation of the transport coefficients under the adiabatically-changing
barrier with the fixed energy of an incoming particle. As typical examples we
choose systems with (1) Eckart's potential with tunable asymmetry and (2)
double $\delta$-function barriers under tunable relative height. We elucidate
the driving electric field to guarantee the stationary tunneling state during a
rapid change of the barrier and evaluate both the electric-field-induced
temporary deviation of transport coefficients from their stationary values and
the modulation of the phase of complex scattering coefficients
