  We discuss N=1 supergravity inflationary models based on two chiral
multiplets, the inflaton and the goldstino superfield. Using superconformal
methods for these models, we propose to replace the unconstrained chiral
goldstino multiplet by the nilpotent one associated with non-linearly realized
supersymmetry of the Volkov-Akulov type. In the new cosmological models, the
sgoldstino is proportional to a bilinear combination of fermionic goldstinos.
It does not acquire any vev, does nor require stabilization, and does not
affect the cosmological evolution. We explain a universal relation of these new
models to kappa-symmetric super-Dp-brane actions. This modification
significantly simplifies a broad class of the presently existing inflationary
models based on supergravity and string theory, including the simplest versions
of chaotic inflation, the Starobinsky model, a broad class of cosmological
attractors, the Higgs inflation, and much more. In particular, this is a step
towards a fully supersymmetric version of the string theory axion monodromy
inflation. The new construction serves as a simple and manifestly
supersymmetric uplifting tool in the KKLT-type string theory landscape.
