Frequency (rad/s) Find the phase margin &M, and the gain margin GM in dB. Is the negative unity feedback system stable with K = 1? Why or why not? Will the negative unity feedback system be unstable for K = 10? Briefly justify 4. your answer in a single sentence. 3.

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Consider the system shown in state-space form below.
1
2
-4
-5
r+0 • u
2
1
Transcribed Image Text:Consider the system shown in state-space form below. 1 2 -4 -5 r+0 • u 2 1
Consider the following Bode diagram of an open-loop system G(s), used in negative unity feedback.
For full credit in the following two problems, show where you measure gains and phases.
Bode Diagram
20
-20
-40
-60
-80
-45
-90
-135
-180
-225
103
102
101
10°
10'
102
Frequency (rad/s)
3.
Find the phase margin M, and the gain margin GM in dB. Is the negative
unity feedback system stable with K = 1? Why or why not?
4.
Will the negative unity feedback system be unstable for K = 10? Briefly justify
your answer in a single sentence.
(6ep) eseyd
Magnitude (dB)
Transcribed Image Text:Consider the following Bode diagram of an open-loop system G(s), used in negative unity feedback. For full credit in the following two problems, show where you measure gains and phases. Bode Diagram 20 -20 -40 -60 -80 -45 -90 -135 -180 -225 103 102 101 10° 10' 102 Frequency (rad/s) 3. Find the phase margin M, and the gain margin GM in dB. Is the negative unity feedback system stable with K = 1? Why or why not? 4. Will the negative unity feedback system be unstable for K = 10? Briefly justify your answer in a single sentence. (6ep) eseyd Magnitude (dB)
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