Consider the simplified model of a DC Motor in unity feedback with a disturbance torque, W(s), assuming C(s) is a PD-controller with the gain, kp. W(s) Q W(s) Ra Σ Σ C(s) OY 7s + 1 a. Find the closed-loop transfer function, Y(s)/R(s), assuming W(s) = 0. b. Determine the DC gain of the system. Determine the steady-state error due to a unit-step input.

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Consider the simplified model of a DC Motor in unity feedback with a disturbance torque, W(s),
assuming C(s) is a PD-controller with the gain, kp.
W(s)
Q W(s)
K
RO
Σ
C(s)
Σ
(7s + 1
a. Find the closed-loop transfer function, Y(s)/R(s), assuming W(s) = 0.
b. Determine the DC gain of the system.
Determine the steady-state error due to a unit-step input.
Transcribed Image Text:Consider the simplified model of a DC Motor in unity feedback with a disturbance torque, W(s), assuming C(s) is a PD-controller with the gain, kp. W(s) Q W(s) K RO Σ C(s) Σ (7s + 1 a. Find the closed-loop transfer function, Y(s)/R(s), assuming W(s) = 0. b. Determine the DC gain of the system. Determine the steady-state error due to a unit-step input.
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