Well I don't think I see anything in that application that an Arduino couldn't handle as far as number of inputs and outputs required. Memory size should also not be a problem I would think.
Most of the effort will be in selecting the sensors and designing the control output switching needed, more effort required in external hardware design trade-offs. Don't forget to add a audible alarm buzzer to warn of problems if control is not working properly due to external faults of external devices not functioning, like broken motors or failed temperature sensors, etc. A stand-by battery back up could keep the Arduino working enough to sound a pizo type alarm in the event the AC power for the motors and vent controls were lost, etc.
Lefty