Hi driz,
I'm not sure if you're asking about the Corn-trol or the Coal-trol (sorry, I'm not sure what a Countryside stove is or what it burns). I'll give the general rundown that applies to both.
For many people using the thermostat controls that stove manufacturers ship, as well as modern setback thermostats designed for "instant" on and off heating appliances, they get unstable temperature control. If they're using manual stove controls there are frequent adjustments to keep up with the changing conditions outside or else people make due with the highs and lows one gets without making the adjustments. With traditional thermostates we heard of and personally experienced temperature swings with fixed setpoints of up to 8 degrees or more throughout the day. So we designed a thermostat control that is designed to work specifically with solid fuel heating appliances, which make relatively slow changes in their heat delivery. The Coal-trol maintain the temperature to within +/- 1 degree F of setpoint.
Our control eliminates the 100% stoker output to idle output (with no in between) thrashing employed by traditional thermostat controls, by matching the stove's heat output to the heat loss of the house. We dynamically adjust the stove's heat output in a continuous fashion, just like a car's cruise control adjusts the output of the motor to match the incline of the road, the head/tail wind, and cruising speed you set. With this dynamic output matching comes the additional benefit of higher fuel efficiency. We estimate a minimum average fuel savings of 11% over most traditional thermostats installations and have anecdotal evidence of up to 25% in some cases.
Our controls also replace much of the extra electrical hardware traditional thermostat systems use: timers, 24VAC power supplies, complicated wiring. In many cases we replace either plenum/bonnet limit switches or rheostats that control convection fans/blowers, since we provide a speed controlled convection fan output on our control. On one of our models we offer a set of contacts that can be wired into the control circuit of an existing central forced air furnace so Coal-trol can turn the house blower on and off as necessary, in parallel with the furnace's thermostat controls. On OEM installations from the factory, some manufacturers have taken to removing manual stoker adjustments, such as control knobs and screws.
That's the basics. Some people are perfectly happy with what they have and don't see a point. We're happy for them and don't want to see anyone to try to fix a problem they aren't having by buying our controls. But there are many who do have these problems or are sick of frequently tending to their stove to maintain comfort, the Coal-trol is for them. It's also for stove manufacturers. Leisure Line, Hitzer, Keystoker, Reading, and LMF on the corn side all either offer our controls as standard or optional equipment on their stoves. There are many reasons for this, but ultimately it is because they and their customers see the value.
Our website,
http://www.coaltroldigital.com, gets into more detail. Our user and installation manuals are available for download. Our contact information is there too, should you want to call and speak to us directly. There are also many threads on the forum here that delve into the details and hash out the glories

and shortcomings of the Coal-trol. I encourage you to search around and read what all has been said. And of course, we're here to answer any other questions.
Sincerely,
Paul Volcko
Automation Correct LLC
http://www.coaltroldigital.com