A speed control system of an armature-controlled DC motor uses the back emf voltage of the motor as a feedback signal. (a) Draw the block diagram of this system (see Equation 2.66). (b) Calculate the steady- state error of this system to a step input command set- ting the speed to a new level. Assume that R, = L. = J = b = 1, the motor constant is Km = 1, and = 1. (c) Select a feedback gain for the back emf P5.10 %3D K, = signal to yield a step response with an overshoot of 15%.

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**P5.10** A speed control system of an armature-controlled DC motor uses the back emf voltage of the motor as a feedback signal.

(a) Draw the block diagram of this system (see Equation 2.66).

(b) Calculate the steady-state error of this system to a step input command setting the speed to a new level. Assume that \( R_a = L_a = J = b = 1 \), the motor constant is \( K_m = 1 \), and \( K_b = 1 \).

(c) Select a feedback gain for the back emf signal to yield a step response with an overshoot of 15%.
Transcribed Image Text:**P5.10** A speed control system of an armature-controlled DC motor uses the back emf voltage of the motor as a feedback signal. (a) Draw the block diagram of this system (see Equation 2.66). (b) Calculate the steady-state error of this system to a step input command setting the speed to a new level. Assume that \( R_a = L_a = J = b = 1 \), the motor constant is \( K_m = 1 \), and \( K_b = 1 \). (c) Select a feedback gain for the back emf signal to yield a step response with an overshoot of 15%.
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