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B-4-10. Consider the liquid-level control system shown in Figure 4-52. The inlet valve is controlled by a hydraulic integral controller. Assume that the steady-state inflow rate is and steady-state outflow rate is also Q, the steady-state head is H, steady-state pilot valve displacement is X = 0, and steady-state valve position is Y. We assume that the set point R corresponds to the steady-state head H. The set point is fixed. Assume also that the disturbance inflow rate 94, which is a small quantity, is applied to the water tank at = 0. This disturbance causes the head to change from to H+h. This change results in a change in the outflow rate by qo. Through the hydraulic controller, the change in head causes a change in the inflow rate from 0 to + q. (The integral controller tends to keep the head constant as much as possible in the presence of disturbances.) We assume that all changes are of small quantities.

B-4-10. Consider the liquid-level control system shown in Figure 4-52. The inlet valve is controlled by a hydraulic integral controller. Assume that the steady-state inflow rate is and steady-state outflow rate is also Q, the steady-state head is H, steady-state pilot valve displacement is X = 0, and steady-state valve position is Y. We assume that the set point R corresponds to the steady-state head H. The set point is fixed. Assume also that the disturbance inflow rate 94, which is a small quantity, is applied to the water tank at = 0. This disturbance causes the head to change from to H+h. This change results in a change in the outflow rate by qo. Through the hydraulic controller, the change in head causes a change in the inflow rate from 0 to + q. (The integral controller tends to keep the head constant as much as possible in the presence of disturbances.) We assume that all changes are of small quantities.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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B-4-10. Consider the liquid-level control system shown in We assume that the velocity of the power piston (valve) dy dt Figure 4-52. The inlet valve is controlled by a hydraulic is proportional to pilot-valve displacement x. or integral controller. Assume that the steady-state inflow rate is and steady-state outflow rate is also, the steady-state head is , steady-state pilot valve displacement is X = 0, and steady-state valve position is Y. We assume that the set point R corresponds to the steady-state head H. The set point is fixed. Assume also that the disturbance inflow rate 94, which is a small quantity, is applied to the water tank at t = 0. This disturbance causes the head to change from H to H+h. This change results in a change in the outflow rate by qo. Through the hydraulic controller, the change in head causes a change in the inflow rate from Q to Q + q. (The integral controller tends to keep the head constant as much as possible in the presence of disturbances.) We assume that all changes are of small quantities. = K₁.x where K, is a positive constant. We also assume that the change in the inflow rate q; is negatively proportional to the change in the valve opening y, or 9i= -Kry where K, is a positive constant. Assuming the following numerical values for the system, C = 2m², R = 0.5 sec/m², 1 m²/sec = a = 0.25 m. b = 0.75 m. obtain the transfer function H(s)/Q(s)| K₂ K₁ = 4 sec¹
Transcribed Image Text:B-4-10. Consider the liquid-level control system shown in We assume that the velocity of the power piston (valve) dy dt Figure 4-52. The inlet valve is controlled by a hydraulic is proportional to pilot-valve displacement x. or integral controller. Assume that the steady-state inflow rate is and steady-state outflow rate is also, the steady-state head is , steady-state pilot valve displacement is X = 0, and steady-state valve position is Y. We assume that the set point R corresponds to the steady-state head H. The set point is fixed. Assume also that the disturbance inflow rate 94, which is a small quantity, is applied to the water tank at t = 0. This disturbance causes the head to change from H to H+h. This change results in a change in the outflow rate by qo. Through the hydraulic controller, the change in head causes a change in the inflow rate from Q to Q + q. (The integral controller tends to keep the head constant as much as possible in the presence of disturbances.) We assume that all changes are of small quantities. = K₁.x where K, is a positive constant. We also assume that the change in the inflow rate q; is negatively proportional to the change in the valve opening y, or 9i= -Kry where K, is a positive constant. Assuming the following numerical values for the system, C = 2m², R = 0.5 sec/m², 1 m²/sec = a = 0.25 m. b = 0.75 m. obtain the transfer function H(s)/Q(s)| K₂ K₁ = 4 sec¹
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