A control apparatus may include an input, an output, a communication device, and a processor. The processor to control the plurality of component devices, and receive the cycle data from the plurality of component devices to enable problem diagnosis on the plurality of component devices, in real time. The processor to display, in a frame, the cycle data for the plurality of component devices, display the cycle data corresponding to actual connection states, installed positions, and present operation states of the plurality of component devices, and change the cycle data thus displayed when the cycle data for the plurality of component devices changes. The cycle data may include data information on whether each of the plurality of component devices is in operation or is not in operation and a cycle change.