Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Textbook Question
Chapter 9, Problem 35P
Identify and realize the following compensators with passive networks. [Section: 9.6]
a.
b.
c.
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P10. Consider a system represented by the block diagram in Fig.10.
10
Y(s)
R(s)
s+ 5
fig.10
The closed-loop transfer function is:
50
a. T(s) =
s2 + 55s + 50
10
b. T(s) =
s2 + 55s + 10
10
c. T(s)-
s2 +50s + 55
d. None of the above
The
Gilles & Retzbach model of a distillation column, the system model includes the dynamics of a boiler, is driven by the inputs of steam flow and
the flow rate of the vapour side stream, and the measurements are the temperature changes at two different locations along the column. The state
space model is given by:
x =
0 00
-30.3
0.00012 -6.02 0 0
0 -3.77 00
0
-2.80 0 0
Is the system?:
a. unstable
b.
C.
not unstable
x+
6.15
0
0
0
0
3.04
0 0.052
not asymptotically stable
d. asymptotically stable
-1
u y =
0
0
0
0
-7.3
0
0
-25.0
X
For the system with open loop transfer function given by
R(s)
K
s(s + 1) (s² + 4s +13)
where K is the feedback gain. Sketch the root locus
a) How many asymptotes are there for this system's root locus?
what are asymptote angles?
What is the center of asymptotes?
C(s)
b) Does the root locus cross the imaginary axis?
where and what is the value of K at that point?
c) Is there any break away, break in points? What is the approximate values of these
points?
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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