Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Chapter 9, Problem 54P
A metering pump is a pump capable of delivering a precise flow rate of fluid. Most metering pumps consist of an electric motor that varies the strike length of a shaft, allowing more or less fluid to pass through its body. The control of such a valve has been considered and the open-loop transfer function of the pump was found to be (Yu, 2011)
where the output of the system, Y(s), represents the liquid flow, and the input, U(s), is the command signal to the motor that varies the pump's plunger strike length.
a. Design a PID controller to reduce the steady-state error to zero with a maximum 5% overshoot and a 20% reduction in uncompensated settling time.
b. Find the characteristics of the uncompensated system.
c. Design a PID controller to reduce the steady-state error to zero; achieve a maximum 5% overshoot and a 20% reduction in uncompensated settling time.
d. Simulate the step response for the compensated system to verify the validity of your design.
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Problem 7.65 - Enhanced - with Hints and Feedback
Figure
3 m
C
6 m
Part A
4 of 15
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■Review
12 kN/m
1 of 1
Draw the shear diagram for the beam. Follow the sign convention. (Figure 1)
Click on "add vertical line off" to add discontinuity lines. Then click on "add segment" button to add functions between the
lines.
Note 1 - You should not draw an "extra" discontinuity line at the point where the curve passes the x-axis.
Note 2 - The curve you choose from the drop-down is only a pictorial representation of a real quadratic/cubic curve. The
equation of this curve is not mathematically equivalent to the correct answer. Consequently, slopes at discontinuities and
intercepts with the x-axis (if any) are not accurate.
Note 3 - Be sure to indicate the correct types of the functions between the lines, e.g. if in your answer the type of a function
is "linear increasing slope" for the function that actually has linear decreasing slope, the answer will be graded as
incorrect. Use the button "change…
As the control engineer on a project you are given the following information:
a) The free body diagram representation of a mechanical system with the various values for the
damper, spring and mass. The transfer function for the system is also provided.
28 N/m
-x(1)
1
G(s):
- f(1)
s? +s+5.6
5 kg
5 N-s/m
b) The step response plot for the system.
Step Response
0.14
0.12
0.1
0.08
0.06
0.04
0.02
10
Time (sec)
Your task is to analyse the system and to confirm that the diagram is for the system in a) i.e.
calculate all time responses and compare your answers with the data in the graph.
apnadu
Chapter 9 Solutions
Control Systems Engineering
Ch. 9 - Prob. 1RQCh. 9 - Name two major advantages of the design techniques...Ch. 9 - What kind of compensation improves the...Ch. 9 - 4. What kind of compensation improves transient...Ch. 9 - 5. What kind of compensation improves both...Ch. 9 - Prob. 6RQCh. 9 - Prob. 7RQCh. 9 - What difference on the s-plane is noted between...Ch. 9 - Prob. 9RQCh. 9 - Why is there more improvement in steady-state...
Ch. 9 - Prob. 11RQCh. 9 - 12. A lag compensator with the zero 25 times as...Ch. 9 - Prob. 13RQCh. 9 - Prob. 14RQCh. 9 - The unity feedback system shown in Figure P9.1...Ch. 9 - Prob. 18PCh. 9 - Prob. 19PCh. 9 - Prob. 22PCh. 9 - For the unity feedback system in Figure P9.1, with...Ch. 9 - Prob. 26PCh. 9 - Prob. 29PCh. 9 - Prob. 31PCh. 9 - Prob. 32PCh. 9 - Prob. 34PCh. 9 - Identify and realize the following compensators...Ch. 9 - Prob. 36PCh. 9 - Prob. 37PCh. 9 - Figure P9.5 shows a two-tank system. The liquid...Ch. 9 - Figure P9.6(a) shows a heat-exchanger process...Ch. 9 - Repeat Problem 39, Parts b and c, using a lead...Ch. 9 - Prob. 41PCh. 9 - 42. You are given the motor whose transfer...Ch. 9 - Prob. 43PCh. 9 - A position control is to be designed with a 10%...Ch. 9 - Prob. 45PCh. 9 - Prob. 46PCh. 9 - Prob. 47PCh. 9 - Repeat Problem 47 using a lag-lead compensator...Ch. 9 - Prob. 51PCh. 9 - A metering pump is a pump capable of delivering a...
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