For the position control system shown in Figure P16.2.19, let the potentiometer transducers give…

For the position control system shown in Figure P16.2.19, let the potentiometer transducers give a voltage of 1 V per radian of position. The transfer function of the servo amplifier is G(s) = 10(1 + 0.01571s)/(7+s). Let the initial angular position of the radar be zero, and the transfer function between the motor control phase voltage Va and the radar position θ be M(s) = 2.733/s(1 + 0.01571s).

(a) Obtain the transfer function of the system.

(b) For a step change in the command angle of 180° (= π radians), find the time response of the angular position of the antenna.

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