In order to solve the problem of the accessibility of the holistic control schemas of a Five-hundred-meter Aperture Spherical radio Telescope (FAST), this article designs and models ideal paraboloid models based on Genetic Algorithms (GA) and actuator control schemas. With a paraboloid formed by the stretch of actuators and it reflects all the lights absorbed to the focus in the paraboloid, FAST can illuminate an area. The focus should be as possible as it can to piece through the zone the feed-cabin can receive to make the radio waves absorbed by the feed-cabin reach the maximum. But in fact, there are still plenty of conditions’ restrictions, so we can model an ideal paraboloid first and modify the stretches of every actuator to keep the reflector approaching the stats of the paraboloid and make the feed-cabin absorb the maximum radio waves.