A method for docking an autonomous mobile floor cleaning robot with a charging dock, the robot including a receiver coil and a structured light sensor, the charging dock including a docking bay and a transmitter coil, includes: positioning the robot in a prescribed docked position in the docking bay using the structured light sensor and by sensing a magnetic field emanating from the transmitter coil; and thereafter induction charging the robot using the receiver coil and the transmitter coil with the robot in the docked position.