0.6- 0.4 -0.2- -06 -0.8 Nyquist Diagram -0.5 D 0.5 Real Axis Figure 2: Nyquist plot for Question 6. (a) Is the closed loop system stable for K 1? Explain your answer. (b) (c) What is the definition of gain margin? Particularly, what is the gain margin of the system with K = 1? Explain your answer. The Nyquist plot goes through the point (-0.5,0). Find the value of s in G(s) that corresponds to that point. 6. Frequency-Domain Control Design Consider the unity feedback system shown in Figure 1. The Nyquist diagram for the plant G(s) s258-4 2(s² +58 +6) (with gain K = 1) is given in Figure 2. R(s) Y(s) K G(s) + Figure 1: Unity feedback system for Question 6.

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Hi, can you help me solve this controm systems engineering problem please? Step by step solutions would be appreciated! Thank you.

0.6-
0.4
-0.2-
-06
-0.8
Nyquist Diagram
-0.5
D
0.5
Real Axis
Figure 2: Nyquist plot for Question 6.
(a)
Is the closed loop system stable for K
1? Explain
your answer.
(b)
(c)
What is the definition of gain margin? Particularly,
what is the gain margin of the system with K = 1? Explain your
answer.
The Nyquist plot goes through the point (-0.5,0). Find
the value of s in G(s) that corresponds to that point.
Transcribed Image Text:0.6- 0.4 -0.2- -06 -0.8 Nyquist Diagram -0.5 D 0.5 Real Axis Figure 2: Nyquist plot for Question 6. (a) Is the closed loop system stable for K 1? Explain your answer. (b) (c) What is the definition of gain margin? Particularly, what is the gain margin of the system with K = 1? Explain your answer. The Nyquist plot goes through the point (-0.5,0). Find the value of s in G(s) that corresponds to that point.
6.
Frequency-Domain Control Design
Consider the unity feedback system shown in Figure 1.
The Nyquist diagram for the plant
G(s)
s258-4
2(s² +58 +6)
(with gain K = 1) is given in Figure 2.
R(s)
Y(s)
K
G(s)
+
Figure 1: Unity feedback system for Question 6.
Transcribed Image Text:6. Frequency-Domain Control Design Consider the unity feedback system shown in Figure 1. The Nyquist diagram for the plant G(s) s258-4 2(s² +58 +6) (with gain K = 1) is given in Figure 2. R(s) Y(s) K G(s) + Figure 1: Unity feedback system for Question 6.
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