  A real projective orbifold is an $n$-dimensional orbifold modeled on
$\mathbb{RP}^n$ with the group $PGL(n+1, \mathbb{R})$. We concentrate on an
orbifold that contains a compact codimension $0$ submanifold whose complement
is a union of neighborhoods of ends, diffeomorphic to closed
$(n-1)$-dimensional orbifolds times intervals. A real projective orbifold has a
{\it radial end} if a neighborhood of the end is foliated by projective
geodesics that develop into geodesics ending at a common point. It has a {\it
totally geodesic end} if the end can be completed to have the totally geodesic
boundary. The orbifold is said to be {\it convex} if any path can be homotopied
to a projective geodesic with endpoints fixed.
  A real projective structure sometimes admits deformations to parameters of
real projective structures. We will prove the local homeomorphism between the
deformation space of convex real projective structures on such an orbifold with
radial or totally geodesic ends with various conditions with the $PGL(n+1,
\mathbb{R})$-character space of the fundamental group with corresponding
conditions. We will use a Hessian argument to show that under a small
deformation, a properly (resp. strictly) convex real projective orbifold with
generalized admissible ends will remain properly and properly (resp. strictly)
convex with generalized admissible ends.
  Lastly, we will prove the openness and closedness of the properly (resp.
strictly) convex real projective structures on a class of orbifold with
generalized admissible ends, where we need the theory of Crampon-Marquis and
Cooper, Long and Tillmann on the Margulis lemma for convex real projective
manifolds. The theory here partly generalizes that of Benoist on closed real
projective orbifolds.
