  Exploiting the possibility of temporal variation of the winding number, we
have prepared a SSH chain in its {\it stroboscopic} topological state, starting
from the trivial one, by application of a periodic perturbation. The periodic
driving, we employ here, is adiabatically switched on to break the
particle-hole symmetry and generate a chiral mass term in the effective Floquet
Hamiltonian; consequently the Floquet Hamiltonian also gets deformed without
crossing the gapless quantum critical point. The particle hole symmetry is
subsequently restored in the Floquet Hamiltonian by adiabatically switching off
a part of the periodic potential. Thereafter, the Floquet Hamiltonian develops
a symmetry protected non-trivial topological winding number. Furthermore, we
also observe stroboscopic topologically protected localised edge states in a
long open chain and show that a bulk boundary correspondence survives a unitary
non-equilibrium situation in 1D BDI Hamiltonians. Moreover, considering an
extended SSH chain with higher neighbour hoppings, we dynamically prepare the
system in a stroboscopic out-of-equilibrium topological insulator state
starting from a metallic regime. At the same time, we establish the dynamical
preparation of higher winding phases in an extended SSH chain with stroboscopic
bulk-boundary correspondence in the non-equilibrium state of the system.
