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solve use matlab CP4.10 Consider the closed-loop system is depicted in Figure CP4.10. The controller gain K can be modified to meet the design specifications. (a) Determine the closed-loop transfer function $T(s) = Y(s)/R(s)$. (b) Plot the response of the closed-loop system for $K = 5, 10, and 50$. (c) When the controller gain is $K = 10$, determine the steady-state value of $y(t)$ when the distur- bance is a unit step, that is, when $T_d(s) = 1/s$ and $R(s) = 0$. FIGURE CP4.10 Closed-loop feedback system with external disturbances.

          solve use matlab
CP4.10 Consider the closed-loop system is depicted in
Figure CP4.10. The controller gain K can be modified
to meet the design specifications.
(a) Determine the closed-loop transfer function
$T(s) = Y(s)/R(s)$.
(b) Plot the response of the closed-loop system for
$K = 5, 10, and 50$.
(c) When the controller gain is $K = 10$, determine
the steady-state value of $y(t)$ when the distur-
bance is a unit step, that is, when $T_d(s) = 1/s$ and
$R(s) = 0$.
FIGURE CP4.10
Closed-loop
feedback system
with external
disturbances.

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solve use matlab
CP4.10 Consider the closed-loop system is depicted in
Figure CP4.10. The controller gain K can be modified
to meet the design specifications.
(a) Determine the closed-loop transfer function
T(s) = Y(s)/R(s).
(b) Plot the response of the closed-loop system for
K = 5, 10, and 50.
(c) When the controller gain is K = 10, determine
the steady-state value of y(t) when the distur-
bance is a unit step, that is, when Td(s) = 1/s and
R(s) = 0.
FIGURE CP4.10
Closed-loop
feedback system
with external
disturbances.

Added by Andrew M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Nicholas Mogoi

Step 1

- The open-loop transfer function is given by the product of the controller and the process: \[ G(s) = \frac{K(s+1)}{s+15} \cdot \frac{1}{s^2 + 6s} \] \[ G(s) = \frac{K(s+1)}{(s+15)(s^2 + 6s)} \] - The closed-loop transfer function is: \[ T(s) = Show more…

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CP4.10 Consider the closed-loop system as depicted in Figure CP4.10. The controller gain K can be modified to meet the design specifications. a) Determine the closed-loop transfer function Ts = Ys/Rs. b) Plot the response of the closed-loop system for K = 5, 10, and 50. c) When the controller gain is K = 10, determine the steady-state value of v(t) when the disturbance is a unit step, i.e., when Ts = 1/s and Rs = 0. TAs Controller FIGURE CP4.10: Closed-loop feedback system with external disturbances R(s) +1

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