Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Textbook Question
Chapter 7, Problem 20P
Given the system of Figure P7.8, design the value of K
so that for an input of 100tu(t), there will be a 0.01 error
in the steady state. [Section: 7.4]
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2- Using Matlab, what are the step response curves of the closed-loop system, as shown in
fig.1. the feedback represents the second-order dynamic system. (fill in the following
table)
For=0.4
Wn
1
3
6
9
10
R(S)
0.1
0.3
0.6
0.9
1
For w 5 rad/sec
3
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2
Wn
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Which parameters or w occur on the rise time of the response?
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fig.2
Feedback & Control Systems
State-Space Representation
Write the state-space representation of the system
below. Let the output of the mechanical system is
x3 (t).
1 N-s/m
x₁ (t) M3 = 1kg
1 N/m
М1
-0000 1kg
> X3 (t)
1 N-s/m
1 N/m
oooo
x₂ (t)
M₂
1kg
4
1 N-s/m²
-1 N-s/m
→f(t)
1) a) Derive the mathematical model for the system shown below.
b) Find a state variable model (matrix form) for the system.
b) Determine state matrix, input matrix, and output matrix, when f (t) is defined as
the input and X2 is defined as output for the system.
(Here, both of the X1 and x2 , are time-dependent functions)
» f(t)
X1
X2
3,000 N
1,000 N
4,000
30 kg
20 kg
200 유
N.s
Chapter 7 Solutions
Control Systems Engineering
Ch. 7 - Prob. 1RQCh. 7 - A position control, tracking with a constant...Ch. 7 - Name the test inputs used to evaluate steady-state...Ch. 7 - Prob. 4RQCh. 7 - Increasing system gain has what effect upon the...Ch. 7 - Prob. 6RQCh. 7 - Prob. 7RQCh. 7 - Prob. 8RQCh. 7 - Prob. 9RQCh. 7 - The forward transfer function of a control system...
Ch. 7 - Prob. 11RQCh. 7 - Prob. 12RQCh. 7 - Is the forward-path actuating signal the system...Ch. 7 - Prob. 14RQCh. 7 - Prob. 15RQCh. 7 - Name two methods for calculating the steady-state...Ch. 7 - Prob. 1PCh. 7 - Figure P7.2 shows the ramp input r(t) and the...Ch. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - A system has Kp = 4. What steady-state error can...Ch. 7 - Prob. 10PCh. 7 - Prob. 11PCh. 7 - Prob. 12PCh. 7 - For the system shown in Figure P7.4. [Section:...Ch. 7 - Prob. 14PCh. 7 - 1515. Find the system type for the system of...Ch. 7 - Prob. 16PCh. 7 - Prob. 17PCh. 7 - Prob. 18PCh. 7 - Prob. 19PCh. 7 - Given the system of Figure P7.8, design the value...Ch. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - Prob. 23PCh. 7 - Prob. 24PCh. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - Prob. 28PCh. 7 - Prob. 29PCh. 7 - Prob. 30PCh. 7 - Prob. 31PCh. 7 - Prob. 32PCh. 7 - Given the system in Figure P7.9, find the...Ch. 7 - Repeat Problem 33 for the system shown in Figure...Ch. 7 - Prob. 36PCh. 7 - Prob. 37PCh. 7 - Prob. 38PCh. 7 - Design the values of K1and K2in the system of...Ch. 7 - Prob. 41PCh. 7 - For each system shown in Figure P7.17, find the...Ch. 7 - For each system shown in Figure P7.18, find the...Ch. 7 - Prob. 44PCh. 7 - 45. For the system shown in Figure P7.20,...Ch. 7 - Prob. 47PCh. 7 - Prob. 48PCh. 7 - Prob. 49PCh. 7 - Prob. 50PCh. 7 - Prob. 51PCh. 7 - Prob. 52PCh. 7 - Prob. 53PCh. 7 - Prob. 54PCh. 7 - Prob. 55PCh. 7 - Prob. 58PCh. 7 - Prob. 59PCh. 7 - Prob. 62PCh. 7 - Prob. 63PCh. 7 - Prob. 64PCh. 7 - Prob. 65PCh. 7 - Prob. 66PCh. 7 - Prob. 67PCh. 7 - Prob. 68P
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