Multiple LED's, one controller, diagram included
At full white you are looking at 30 amps 12V. I doubt your supply handles 30 amps on the 12v rail alone. And that would fry your controller.

you need a supply that can provide 400W or so or more on the 12v alone. 

Look into the rgb power amplifiers or power injectors. These take the signal from the controller and provide separate control for another strip.

Your text does not mention the power amplifiers. But the diagram does. As long as your supply can safely do 360 watts, you should be good. If anything, you might want to power the strips from the middle instead of the end, to ensure better uniformity in color. But you have it handled.