1) Assume that a system below has a phase margin of 65° at a crossover frequency of 3 rad/s. R(s) 10 F -15 We now include a sensor in the feedback path that has dynamics H(s). The modified block diagram is shown below and the frequency response of H(s) is given. R(s) Y(s) -30 -75 G S 10 Lead/lag compensator G Lead/lag compensator H(s) sensor Bode plot of H(s) G, (s) plant Frequency (rad/s) G, (s) plant Y(s) Q1) Estimate the new phase margin of the modified loop

Introductory Circuit Analysis (13th Edition)
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Publisher:Robert L. Boylestad
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1) Assume that a system below has a phase margin of 65° at a crossover frequency
of 3 rad/s.
R(s)
10²
I
10
We now include a sensor in the feedback path that has dynamics H(s). The modified
block diagram is shown below and the frequency response of H(s) is given.
Y(s)
R(s)
-15
-30
-60
-75
L
G
10
Lead/lag
compensator
G
Lead/lag
compensator
H(s)
sensor
Bode plot of H(s)
G₂ (s)
plant
Frequency (rad/s)
G₂ (s)
plant
Y(s)
Q1) Estimate the new phase margin of the modified loop
Transcribed Image Text:1) Assume that a system below has a phase margin of 65° at a crossover frequency of 3 rad/s. R(s) 10² I 10 We now include a sensor in the feedback path that has dynamics H(s). The modified block diagram is shown below and the frequency response of H(s) is given. Y(s) R(s) -15 -30 -60 -75 L G 10 Lead/lag compensator G Lead/lag compensator H(s) sensor Bode plot of H(s) G₂ (s) plant Frequency (rad/s) G₂ (s) plant Y(s) Q1) Estimate the new phase margin of the modified loop
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