The figure below shows the block diagram of a dc-motor control system. The signal N(s) is the torque derived from friction. Find the transfer function H(s) that would make it so that the output Y(s) is not affected by the disturbance torque N(s).

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The figure below shows the block diagram of a dc-motor control system. The signal N(s) is the torque
derived from friction. Find the transfer function H(s) that would make it so that the output Y(s) is not
affected by the disturbance torque N(s).
R(s) +
E (s),
G(s)
H(s)
G(s) =
K(s + 3)
s(s+ 1)(8 + 2)
N(s)
Y(s)
Once H(s) has been found, determine the value of K using the final-value theorem such that the
steady-state value of e(t) equals 0.1 when the input is the unit-ramp function r(t) = tus(t), R(s) = 1/s², and
N(s) = 0.
Transcribed Image Text:The figure below shows the block diagram of a dc-motor control system. The signal N(s) is the torque derived from friction. Find the transfer function H(s) that would make it so that the output Y(s) is not affected by the disturbance torque N(s). R(s) + E (s), G(s) H(s) G(s) = K(s + 3) s(s+ 1)(8 + 2) N(s) Y(s) Once H(s) has been found, determine the value of K using the final-value theorem such that the steady-state value of e(t) equals 0.1 when the input is the unit-ramp function r(t) = tus(t), R(s) = 1/s², and N(s) = 0.
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