It seems popular to build robotic systems with separate supplies for the electronics and motors/servos, but what would be involved in a circuit that powers both from one source?
If it helps, here is my particular situation. I want to use a single 7.4V Li-Po pack to power an embedded system (2.5-6V operating voltage input, max 1A current draw) and up to 18 standard-sized servos (HS-645, 4.8-6V operating voltage). This would be a hexapod, so it is unlikely that all servos would be stalling at once with normal gait patterns.
You can also add between the controller power an electrolytic capacitor of about 500 or even 1000 microfarads x 12 volts and a diode in series with it, so when the trigger pull much current source with a corresponding drop in voltage will be avoided that Power down controller please and even free you from unwanted noise (about 10 turns of cable around a ferrite core also help eliminate noise).![enter image description here]
Both your computer and your servos need supplies at a lower voltage than your battery supplies. So you need some sort of voltage regulation between battery and "the rest". Just make sure that the servo side is current limited.
Better, make sure that the one to the servos is current limited, and that it indicates to the processor that it's in current limit. That way if it goes into current limit for more than a moment you can shut the whole thing off.