In this paper, we theoretically investigate the influence of an external electric field on the lateral
shifts of the reflected right-handed circularly polarized beam from a nanocomposite slab at the
edge wavelengths of the photonic bandgaps of the structure. The nanocomposite slab is a
non-dissipative dielectric chiral material with the randomly dispersed silver nanoparticles inside
it. We show that the increase of the applied electric field results in the decrease of the positive
lateral shift at the lower edge of the Bragg gap, while the negative lateral shift at the upper edge
of the Bragg gap increases by increasing the applied field. Moreover, we show that the impact of
the applied voltage is more noticeable at larger incident angles for both the lower and upper edge
wavelengths of the Bragg gap. Also, it is shown that the tilt angle of the chiral structure and the
slab thickness have considerable effects on the controlling behavior of the externally applied
voltage. Finally, we investigate the effect of the filling fraction of nanoparticles and show that the
inclusion of the nanoparticles can change the influence of the applied voltage on the lateral shift
of the reflected beams.