A position management apparatus includes motors connected to a power supply； a position detecting device connected to the power supply and detecting the rotational position of the motors or the drive position of driving members driven by the motors； position storage devices connected to the power supply and storing the rotational position or the drive position detected by the position detecting devices； and a power cut-off delay circuit for keeping the position detecting devices and the position storage devices connected to the power supply even if the power switch is shut off from a conducting state, and for storing the rotational position or the drive position of the position storage devices after the motor has lost its rotational speed.
