  We investigate a brane model based on Randall-Sundrum scenarios with a
generic dark energy component. The latter drives the accelerated expansion at
late times of the Universe. In this scheme, extra terms are added into Einstein
Field equations that are propagated to the Friedmann equations. To constrain
the dark energy equation of state (EoS) and the brane tension we use
observational data with different energy levels (Supernovae type Ia, $H(z)$,
baryon acoustic oscillations, and cosmic microwave background radiation
distance, and a joint analysis) in a background cosmology. Beside EoS being
consistent with a cosmological constant at the $3\sigma$ confidence level for
each dataset, the baryon acoustic oscillations probe favors an EoS consistent
with a quintessence dark energy. Although we found different lower limit bounds
on the brane tension for each data sets, being the most restricted for CMB,
there is not enough evidence of modifications in the cosmological evolution of
the Universe by the existence of an extra dimension within observational
uncertainties. Nevertheless, these new bounds are complementary to those
obtained by other probes like table-top experiments, Big Bang Nucleosynthesis,
and stellar dynamics. Our results show that a further test of the braneworld
model with appropriate correction terms or a profound analysis with
perturbations, may be needed to improve the constraints provided by the current
data.
