Methods and apparatus to control an architectural opening covering assembly are disclosed herein. An example architectural opening covering assembly includes a tube and a covering coupled to the tube such that rotation of the tube winds or unwinds the covering around the tube. A motor is operatively coupled to the tube to rotate the tube. The example architectural opening covering assembly also includes a gravitational sensor to generate tube position information based on a gravity reference. The example architectural opening covering assembly further includes a controller communicatively coupled to the motor to control the motor. The controller is to determine a position of the covering based on the tube position information.