Thruster control was a manual control for a thruster. This control was located at the helm console. Occasionally, control could be transferred to another station on the main bridge of a starship. Loss of main power could result in a loss of thruster control. Emergency thrusters, which could operate on auxiliary power, didn't seem to need a thruster control.
In 1986, at the behest of Spock, the thruster control for the acceleration thrusters was transferred from Hikaru Sulu's console to the science console. Spock then manually fired the thrusters to push the HMS Bounty into a time warp. (Star Trek IV: The Voyage Home)