You would just need a relay and use that to control the aeration system.
A bit more to it than that. You can use a relay if it is rated for motor loads, but life will be shortened.
These will work with up to 1/2 hp motors at 120VAC:
871 Relay Life will be short, to about 1000 cycles (on/off) I wouldn't go that high with them, 1/4 hp, maybe!
Use a power relay similar to this if you want to run motors:
Power Relay Yeah, they look ugly!, but will last quite a bit longer.
I will be using the 871's with 4 small compressors set up in redundant fashion.
Motors 1/4 hp and up, that run continuously, or I need certain performance from them, will get one of these:
PowerFlex 40