I'm looking for a bit of initial direction or input on a circuit to accomplish two relatively simple tasks: (1) automatic switching between a li-ion battery pack and 120VAC and, (2) supply multiple output voltage taps. I made up a rough diagram of what I'm thinking, which isn't technically accurate but hopefully explains my general plan. I'm really hoping to minimize the number of PSUs due to space (and cost), and if I could eliminate a battery charger that'd be great too. But, I've been unable to identify a li-ion charge circuit that would support my 12S battery design.
The power amp is the primary draw, and it has a wide voltage tolerance (25-50VDC) but requires a higher voltage to maximize the output. So, my thought is to design everything to supply as close to the 50VDC as possible and step down from there in order to power the other devices directly. There's also a 120VAC device that contains an internal PSU with multiple DC voltage taps, which I'm trying to determine how to power when on battery. Obviously I could use some sort of inverter, but I'm not sure how that would fit in to everything.
Any input, advice, or initial direction would be much appreciated!