Inverter, a device in the air conditioner, controls frequency of power supplied to compressor motor.
Compressor motor controls the rotational speed of the compressor and the compressor ensures refrigerant flow is commensurate with the cooling requirement of the room.
In contrast non-inverter air conditioners have fixed compressor that cannot increase or decrease their speed and refrigerant flow rate as per cooling requirement of the room and work at one given capacity only.
Thus variable speed of the compressor ensures not only better temperature control but they also reduces power consumption by upto 71%