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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)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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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)
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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