  We apply the approach of S. Ferrara, M. Porrati and A. Sagnotti \cite{FPS} to
the one dimensional system described by the $N=2, d=1$ supersymmetric action
for two particles in which one of $N=1$ supersymmetries is spontaneously
broken. Using the nonlinear realization approach we reconsider the system in
the basis where only one superfield has the Goldstone nature while the second
superfield can be treated as the matter one, being invariant under
transformations of the spontaneously broken $N=1$ supersymmetry. We establish
the transformations relating the two selected FPS-like cases with our more
general one, and find the field redefinitions which relate these two cases.
Thus we demonstrate, at least in one dimension, that the only difference
between two FPS cases lies in the different choice of the actions, while the
supermultiplets specified by the FPS-like constraints are really the same.
Going further with the nonlinear realization approach, we construct the most
general action for the system of two $N=1$ superfields possessing one
additional hidden spontaneously broken $N=1$ supersymmetry. The constructed
action contains two arbitrary functions and reduces to the FPS actions upon
specification of these functions. Unfortunately, the exact form of these
functions corresponding to FPS actions is not very informative and gives no
explanation on why the FPS cases are selected.
