Ok for say 14v or more but when it drops to nominal, what then? Regulators normally work with a couple of v headroom.
Yes, standard regulators do, but perhaps you are not familiar with the LDO type I suggested.
Some of those can work down to much less than a volt.
I have a discrete design that works down to the on-resistance drop of a MOSFET.
So the "what then" is, as the input drops below the regulated voltage, the output voltage basically closely follows the input.
Example of one IC linear regulator that has about a 200mV drop (ones with a lower drop are available) below:
