That 0-volt lower limit may be a problem, unless you can ensure that you only hit 0 volts for relatively short durations.
If your supply was always greater than 15 volts, the supply is a snap. If it drops below 15 volts once in a while, it's a little trickier, you're forced into a switchmode supply that essentialy converts DC to AC so that it can be "transformed" up to a higher voltage, and then back to regulated DC.
If your supply spends a lot of time around 0 volts, then you'd need capacitors or something to maintain the voltage during the sags. If your supply spends a significant amount of time at 0 volts, you're screwed.
Can you provide some more specifics about the supply bus?