Coal is very slow to adjust, which can sometimes lead to over or under heating when dealing with varying weather re-actively. With a computer interface, the weather conditions and forecast could be used to proactively adjust the fire, rather than re-actively, hopefully maintaining a more consistent room temperature and better efficiency.
The ability to tune for particular situations would be nice too. My stove is in my living room, which has large picture windows facing west. On winter days with clear skies, my room gets quite a bit of solar heating in the afternoon and early evening, causing the stove to drop to idle. That's fine, but when the sun sets, my room cools off mighty fast, and by the time the coal-trol and stove react, I usually have to tolerate an uncomfortably chilly room for an hour or two. I'd love to be able to somehow account for that rapid and predictable cool down.