S A closed-loop system with negative feedback is defined with a forward path transfer function given by 10 G(s) = s² +3s+2 and a unit feedback path. Evaluate the phase margin of the system. 16 For the system in Question 15, I want to have: The gain crossover frequency wg = 4 rad/s, and The desired phase margin d = 60° What compensator should I use? ○ a. The Bode plot of the forward path transfer function G(s) is provided: Phase lead compensator Phase (deg) Magnitude (dB) 20 -20 -40H -60 0 -45 -90 -135 -180 10-2 10-1 10° Frequency (rad/s) 101 102 ○ a. 55° O b. 125° ○ c. -125° ○ d. -55° O b. Magnitude lead compensator ○ c. Phase lag compensator ○ d. Magnitude lag compensator What is the compensator for the previous question? Note: The phase of G(s) at wg= 4 is og= -140° Put the final answer in the blank box below. You may use the equation function or upload the image of your result in the box (all numbers should be simplified as decimals). T A- ☑ T:▾ A▾ B I E ⑩ * U x2 x² I 5 с + In Question 15, what is the compensator if I want to keep the gain and achieve the phase margin = 80° ? Note: G(s) achieve = -100° at w = 1.75 rad/s. Put the final answer in the blank box below. You may use the equation function or upload the image of your result in the box (all numbers should be simplified as decimals). ☑ T: B I * U Ꭶ X2 x² I 5 C + ☐ </> * O
S A closed-loop system with negative feedback is defined with a forward path transfer function given by 10 G(s) = s² +3s+2 and a unit feedback path. Evaluate the phase margin of the system. 16 For the system in Question 15, I want to have: The gain crossover frequency wg = 4 rad/s, and The desired phase margin d = 60° What compensator should I use? ○ a. The Bode plot of the forward path transfer function G(s) is provided: Phase lead compensator Phase (deg) Magnitude (dB) 20 -20 -40H -60 0 -45 -90 -135 -180 10-2 10-1 10° Frequency (rad/s) 101 102 ○ a. 55° O b. 125° ○ c. -125° ○ d. -55° O b. Magnitude lead compensator ○ c. Phase lag compensator ○ d. Magnitude lag compensator What is the compensator for the previous question? Note: The phase of G(s) at wg= 4 is og= -140° Put the final answer in the blank box below. You may use the equation function or upload the image of your result in the box (all numbers should be simplified as decimals). T A- ☑ T:▾ A▾ B I E ⑩ * U x2 x² I 5 с + In Question 15, what is the compensator if I want to keep the gain and achieve the phase margin = 80° ? Note: G(s) achieve = -100° at w = 1.75 rad/s. Put the final answer in the blank box below. You may use the equation function or upload the image of your result in the box (all numbers should be simplified as decimals). ☑ T: B I * U Ꭶ X2 x² I 5 C + ☐ </> * O
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
Transcribed Image Text:S
A closed-loop system with negative feedback is defined with a forward
path transfer function given by
10
G(s) =
s² +3s+2
and a unit feedback path.
Evaluate the phase margin of the system.
16
For the system in Question 15, I want to have:
The gain crossover frequency wg = 4 rad/s, and
The desired phase margin d = 60°
What compensator should I use?
○ a.
The Bode plot of the forward path transfer function G(s) is provided:
Phase lead compensator
Phase (deg)
Magnitude (dB)
20
-20
-40H
-60
0
-45
-90
-135
-180
10-2
10-1
10°
Frequency (rad/s)
101
102
○ a. 55°
O b. 125°
○ c. -125°
○ d. -55°
O b. Magnitude lead compensator
○ c.
Phase lag compensator
○ d. Magnitude lag compensator
What is the compensator for the previous question?
Note: The phase of G(s) at wg= 4 is og= -140°
Put the final answer in the blank box below.
You may use the equation function or upload the image of your result in the box (all numbers should be simplified as
decimals).
T
A-
☑ T:▾
A▾
B
I
E
⑩
*
U
x2
x²
I
5 с
+
In Question 15, what is the compensator if I want to keep the gain and achieve the phase margin = 80° ?
Note: G(s) achieve = -100° at w = 1.75 rad/s.
Put the final answer in the blank box below.
You may use the equation function or upload the image of your result in the box (all numbers should be simplified as decimals).
☑
T:
B
I
*
U Ꭶ X2 x²
I 5 C +
☐ </>
*
O
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