P4.11 One important objective of the paper-making process is to maintain uniform consistency of the stock vutput as it progresses to drying and rolling. A diagram of the thick stock consistency dilution control system is shown in Figure P4.11(a). The amount of water added determines the consistency. The block diagram of the system is shown in Figure P4.11(b). Let H(s) = 1 and Water Desired consistency = R(s) 1 K G(s) = G(s) 10s + 1' 2s + 1 U(s) M(s) Consistency Valve Controller Determine (a) the closed-loop transfer function T(s) = Y(s)/R(s), (b) the sensitivity Sk, and (c) the steady-state error for a step change in the desired çonsistency R(s) = A/s. (d) Calculate the value of K required for an allowable steady-state error of 2%. measurement Pulp mixing To pape. making (a) E(s) U(s) R(s) G(s) G(s) Y(s) H(s) FIGURE P4.11 M(s) Paper-making control. (b)
P4.11 One important objective of the paper-making process is to maintain uniform consistency of the stock vutput as it progresses to drying and rolling. A diagram of the thick stock consistency dilution control system is shown in Figure P4.11(a). The amount of water added determines the consistency. The block diagram of the system is shown in Figure P4.11(b). Let H(s) = 1 and Water Desired consistency = R(s) 1 K G(s) = G(s) 10s + 1' 2s + 1 U(s) M(s) Consistency Valve Controller Determine (a) the closed-loop transfer function T(s) = Y(s)/R(s), (b) the sensitivity Sk, and (c) the steady-state error for a step change in the desired çonsistency R(s) = A/s. (d) Calculate the value of K required for an allowable steady-state error of 2%. measurement Pulp mixing To pape. making (a) E(s) U(s) R(s) G(s) G(s) Y(s) H(s) FIGURE P4.11 M(s) Paper-making control. (b)
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Question
![P4.11 One important objective of the paper-making
process is to maintain uniform consistency of the stock
nutput as it progresses to drying and rolling. A diagram
of the thick stock consistency dilution control system is
shown in Figure P4.11(a). The amount of water added
determines the consistency. The block diagram of the
system is shown in Figure P4.11(b). Let H(s) = 1 and
Water
Desired consistency = R(s)
K
G.(s) =
G(s)
10s + 1'
2s + 1'
U(s)
M(s)
Consistency
Valve
Controller
measurement
Determine (a) the closed-loop transfer function
T(s) = Y(s)/R(s), (b) the sensitivity Sk, and (c) the
steady-state error for a step change in the desired
çonsistency R(s)
required for an allowable steady-state error of 2%.
%3D
Pulp
mixing
То рарег
making
= A/s. (d) Calculate the value of K
(a)
U(s)
G(s)
E(s)
R(s)
G(s)
Y(s)
H(s)
FIGURE P4.11
Paper-making
control.
M(s)
(b)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb6e49c2-d01d-4438-a99a-92f670cec770%2Ff9128fff-05fc-4c74-8441-6fa8a3956598%2Fo75l4bb_processed.png&w=3840&q=75)
Transcribed Image Text:P4.11 One important objective of the paper-making
process is to maintain uniform consistency of the stock
nutput as it progresses to drying and rolling. A diagram
of the thick stock consistency dilution control system is
shown in Figure P4.11(a). The amount of water added
determines the consistency. The block diagram of the
system is shown in Figure P4.11(b). Let H(s) = 1 and
Water
Desired consistency = R(s)
K
G.(s) =
G(s)
10s + 1'
2s + 1'
U(s)
M(s)
Consistency
Valve
Controller
measurement
Determine (a) the closed-loop transfer function
T(s) = Y(s)/R(s), (b) the sensitivity Sk, and (c) the
steady-state error for a step change in the desired
çonsistency R(s)
required for an allowable steady-state error of 2%.
%3D
Pulp
mixing
То рарег
making
= A/s. (d) Calculate the value of K
(a)
U(s)
G(s)
E(s)
R(s)
G(s)
Y(s)
H(s)
FIGURE P4.11
Paper-making
control.
M(s)
(b)
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