An electric carrier that automatically follows a tape track laid out on a factory floor is shown in Figure P9.16 (a) [15]. Closed-loop feedback systems are used to control the guidance and speed of the vehicle. The cart senses the tape path by means of an array of 16 phototransistors. The block diagram of the steering system is shown in Figure P9.16 (b). Select a gain K so that the phase margin is approximately 30°.