Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Chapter 10, Problem 32P
For the Bode plots shown in Figure P10.10, determine the transfer function by hand or via MATLAB. [Section: 10.13]
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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
Settling time Peak response
2
Wn
s(s+23wn)
Settling time
Peak response
C(s)
Discuss the follow
Which parameters or w occur on the rise time of the response?
Which parameter increases the speed of response?
Which parameters can be decreases the response amplitude?
Which parameter decreases the steady error state?
fig.2
11. Consider a system that can be modeled
as shown. The input x in (t) is a prescribed
motion at the right end of spring k 2. Find
X(s)
the system transfer function
Xeq(s)*
m
k₂
ww
Xin
The values of the parameters are m= 30 kg,
k ₁=700 N/m, k 2= 1300 N/m, and b=200 N-
s/m. Write a MATLAB script file that: (a)
calculates the natural frequency, damping
ratio, and damped natural frequency for the
system; and (b) uses the impulse
command to find and plot the response of
the system to a unit impulse input.
(1) Consider the system represented by the block
diagram. The closed loop transfer function
T(s)-Y(s)/R(s) is
(a) T(s)-50/(s+55 s+50).
(b) T(s)=10/(s+50 s+55)
(c) T(s)=10/(s+55 s+10).
(d) None of the above.
R(s)-
10
+
s+5
5
Y(s)
Chapter 10 Solutions
Control Systems Engineering
Ch. 10 - Prob. 1RQCh. 10 - Prob. 2RQCh. 10 - Prob. 3RQCh. 10 - Briefly describe how to obtain the frequency...Ch. 10 - Prob. 5RQCh. 10 - Each pole of a system contributes how much of a...Ch. 10 - Prob. 7RQCh. 10 - Prob. 8RQCh. 10 - Prob. 9RQCh. 10 - What is the major difference between Bode...
Ch. 10 - Prob. 11RQCh. 10 - Prob. 12RQCh. 10 - Prob. 13RQCh. 10 - 14. What is a Nyquist diaoram?
Ch. 10 - Prob. 15RQCh. 10 - 16. When sketching a Nyquist diagram, what must be...Ch. 10 - Prob. 17RQCh. 10 - Prob. 18RQCh. 10 - Prob. 19RQCh. 10 - Prob. 20RQCh. 10 - Prob. 21RQCh. 10 - Prob. 22RQCh. 10 - Prob. 23RQCh. 10 - Prob. 24RQCh. 10 - Prob. 25RQCh. 10 - Prob. 26RQCh. 10 - Prob. 1PCh. 10 - Prob. 7PCh. 10 - Prob. 14PCh. 10 - For each closed-loop system with the following...Ch. 10 - Prob. 27PCh. 10 - For the Bode plots shown in Figure P10.10,...
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- Consider a system described by the following dynamic equation: 5x + 17* + 20x + 8x = 4f(t) -0.9g(t) Submit to Connect: What form is this dynamic model in? a. Draw the block diagram for this system if x(t) is the output and f(t) is the input to the system. b. Write out each of the Transfer Functions for this system, and describe the expected characteristic behavior of the system and the differences between the response x(t) to f(t) and g(t). c. Define the state equations for this system. Also define the A, and B matrices for the system.arrow_forwardConstruct the Bode plots of the following transfer functions. Indicate Gain Margin and Phase Margin of the systems. a) b) 8 s(1.25s + 1)(s+2) 1.6 (s+0.4)(s+0.8) (s + 1)arrow_forwardFor the given close-loop system transfer function, determine its stability using Routh-Hurwitz Test for Stability.1. What is the stability of the system? (Stable, Unstable, Marginally Stable)arrow_forward
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