A system includes a carriage track positioned adjacent to a rotary milking platform, a robot carriage mounted to the carriage track, and a controller. The controller is operable to receive both a first rotary encoder signal indicating a first rotational position of a milking stall of the rotary milking platform (corresponding to a starting linear position of the robot carriage) and a second rotary encoder signal indicating a second rotational position of the milking stall. The controller is further operable to determine, based on a difference between the first and second signals, a desired linear position of the robot carriage on the carriage track (a position corresponding to the second rotational position of the milking stall). The controller is further operable to communicate a position signal to a carriage actuator, the position signal causing the carriage actuator to move the robot carriage to the desired linear position.