When you mix multiple unit, be it forced air, radiant, solar, geothermal, etc. you'll most likely end up with HVAC controller.
I, for example have few BMPlus7000 from
http://www.ewccontrols.com/ , but have used or worked on many different ones from too many MFGs to recall.
There is some logic to the controller for things like: 2nd stage temperature or time deltas, emergency heat calls, changeover delays, short cycle prevention, damper control, etc.
As long as you understand that all t-stat does is close contacts (relays) then you can figure out how to make any system work with any device.
There are some exceptions, like digital or proprietary communication systems with things like variable fan speed controls, but even those can be beat into submission.
You've got my number if you need to chat further.