CONTROL SYSTEMS ENGINEERING
7th Edition
ISBN: 9781119185666
Author: NISE
Publisher: WILEY
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Textbook Question
Chapter 8, Problem 32P
For the unity feedback system shown in Figure 8.3, where
a. Sketch the root locus.
b. Find the value of K that will yield a 10% overshoot.
c. Locate all non-dominant poles. What can you say about the second-order approximation that led to your answer in Part b?
d. Find the range of K that yields a stable system.
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Students have asked these similar questions
1) Consider the system below:
Vehicle
Controller
Steering
dynamics
Desired
Actual
bearing angle
bearing angle
50
1
K
s2 + 10s + 50
s(s + 5)
Figure 1: Simplified Block Diagram of a Self-Guiding Vehicle's Bearing Angle Control.
• Find a K value that the system has minimum rise time and minimum overshoot.
Let us call this proportional gain as Kopt
Show each step while finding Kopt-
Show the necessary graphical solutions.
Simulate the system response with 3 different K values. (Kopt and two other K
values close to Kopt) Show the system response (actual bearing angle) in a
single graph for different K values.
• Comment on the results.
Homework: For a unity feedback system with the forward transfer function:
K(s + 20)
G(s) =
s(s + 2)(s+3)
find the range of K to make the system stable.
Figure Q2 shows the block diagram of a
unity-feedback control system
Proportional
Controller
Plant
R(s)
C(s).
s(3s +1)
5+2s² +4
K
2.1- Determine the characteristic
equation.
2.2- Using the Routh-Hurwitz criterion to
determine the range of gain, K to ensure
stability
and marginally stability in the unity
feedback
syste
m.
Chapter 8 Solutions
CONTROL SYSTEMS ENGINEERING
Ch. 8 - Prob. 1RQCh. 8 - Prob. 2RQCh. 8 - Prob. 3RQCh. 8 - Prob. 4RQCh. 8 - Prob. 5RQCh. 8 - What are two ways to find where the root locus...Ch. 8 - Prob. 7RQCh. 8 - Prob. 8RQCh. 8 - Prob. 9RQCh. 8 - How would you determine whether or not a root...
Ch. 8 - Prob. 11RQCh. 8 - Prob. 12RQCh. 8 - Prob. 13RQCh. 8 - Prob. 1PCh. 8 - Sketch the general shape of the root locus for...Ch. 8 - Prob. 3PCh. 8 - Let Gs=Ks+23s2s+6 in Figure P8.3. [Section: 8.5]...Ch. 8 - Let Gs=Ks+12s2+2s+2 with K0 in Figure P8.3....Ch. 8 - For the open-loop pole-zero plot shown in Figure...Ch. 8 - Prob. 7PCh. 8 - Prob. 8PCh. 8 - Figure P8.5 shows open-loop poles and zeros. There...Ch. 8 - Prob. 10PCh. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - Prob. 13PCh. 8 - Sketch the root locus and find the range of K for...Ch. 8 - For the unity feedback system of Figure P8.3,...Ch. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Given the root locus shown in Figure P8.7,...Ch. 8 - Prob. 19PCh. 8 - For the unity feedback system of Figure P8.3,...Ch. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 28PCh. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - For the unity feedback system shown in Figure 8.3,...Ch. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - Prob. 39PCh. 8 - Prob. 41PCh. 8 - Prob. 42PCh. 8 - Prob. 45PCh. 8 - Repeat Problem 3 but sketch your root loci for...Ch. 8 - Prob. 47PCh. 8 - Prob. 49PCh. 8 - Prob. 50PCh. 8 - Prob. 51PCh. 8 - Prob. 52PCh. 8 - Prob. 53PCh. 8 - Prob. 55PCh. 8 - Prob. 57PCh. 8 - Prob. 58PCh. 8 - Prob. 59PCh. 8 - Wind turbines, such as the one shown in Figure...Ch. 8 - Prob. 62PCh. 8 - Prob. 67PCh. 8 - Prob. 68PCh. 8 - Prob. 70PCh. 8 - Prob. 72P
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