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Consider a DC motor system below utilized for speed control which is implemented with voltage and current feedback. (a) Draw a signal flow graph for

Consider a DC motor system below utilized for speed control which is implemented with voltage and current feedback.

(a) Draw a signal flow graph for the feedback control system.

(b) Find the transfer function-Ω m (s)/Ω [with T L (S) = 0] using Mason's gain formula.

(c) Find the transfer function Ω m (s)/T L [with Ω r (s) = 0] using Mason's gain formula

(d) Let K i be a very high gain of the amplifier. Show that when H i (s)/H e (s) = -(R s + sL a ),the velocity ω m (t) is totally independent of the load disturbance of torque T L .

(e) Find the output Ω m (s) due to both inputs Ωr(s) and T L (s).

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