Do not look to the present generation of LDOs, look
to the load and its "care-abouts".
Load step response is the toughest challenge in my
experiences with linear regulator design. Digital, in
the best case, can match a good linear loop. But
there's digital and there's digital, some can be too
elaborate and slow to hold up against a harsh load
step dI/dt (and this is the other end of the snake,
the challenge-case that you must hold the deviation
below, during. Much gamesmanship there, and often
unrelated to any load "client"'s needs but more "like
what can we tell marketing, and not eat it at final
test?".
PMOS LDOs do suffer at low VIN, but there are ULDO
(NMOS pass FET, low current higher voltage VAUX
supply for error amp, vref and gate drive with VIN
being a lower, higher current feed),
You might consider "synthetic" or cal-mapped gate
drive if you can sense current directly (along with
other prime factors like VIN and temp). This could
be a good use of digital "smarts", get more in front
of the load step with (say) a "90% right" gate-goes-
to drive that is near real time, and reduce the amount
of effort needed from the feedback loop (thus the
in-the-moment deflection and recovery).
My suggestion remains, that you pick a "client" (I'd
try and make it something geek-sexy, a challenge
but one you think you can solve) and drill into its
supply requirements (spec table conditions, any
app notes regarding supply qualities and issues,
etc.) and pose that as the research goal. There
has to be some class of parts out there (maybe
FPGA, maybe SoC ASIC, maybe a RF module?)
that has enough value to be interesting, enough
provided power quality detail to be used as a
target, and represents some sort of advancement
in the art (of course digital power this-and-that
is quite topical recently and you may have to
thread a path between "already presented" and
"tried and failed"....