Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Textbook Question
Chapter 9, Problem 25P
For the unity feedback system in Figure P9.1, with
design a PID controller that will yield a peak time of 1.122 seconds and a damping ratio of 0.707, with zero error for a step input. [Section: 9.4]
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For a unity negative feedback control system having an open-loop transfer function, G(s) as given
below. Find out the value of "K" such that the system will be in the stable region.
(K/s)
(s3 + 12. 5s2 + 50. 5s + 66)
G(s) =
and
1)
2)
LIUS
S
Consider the following feedback system, where K is a constant gain
G(s) ===
1
s3 +382 +s+1
Let K be a real number. Utilize the Routh-Hurwitz criterion to derive
stability conditions for the closed-loop system.
Suppose that the reference input r(t) = 1. What are the steady-state
tracking errors (ess) for K = 1 and K = 3, respectively?
R
K
G(s)
Y
Figure 2: Control system in Problem 2.
P6. The open loop transfer function of a unity feedback
system is
K(s+2)
G (s) =
s(s+3)(s²+2s+10)
1- Find the value of K so that the error steady state
for the unit ramp input r(t)=t is less than or equal
to 0.01.
2-For the value of K found in part (1), use the Routh
method to verify whether the closed loop system is
stable.
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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