  We study the nonequilibrum steady states in a unidirectional {or driven}
single file motion (DSFM) of a collection of particles with hard-core repulsion
in a closed system. For driven propulsion that is {spatially} smoothly varying
with a few discontinuities, we show that the steady states are broadly
classified into two classes, independent of any system detail: (i) when the
steady state current depends explicitly on the {conserved} number density $n$,
and (ii) when it is independent of $n$. This manifests itself in the universal
topology of the phase diagrams {and fundamental diagrams (i.e., the current
versus density curves) } for DSFM, which are determined solely by the interplay
between {two control parameters} $n$ and the minimum propulsion speed along the
chain.
  Our theory can be tested in laboratory experiments on driven particles in a
closed geometry.
