A negative unity-feedback LTI system has a forward element consisting of an amplifier with adjustable real-valued gain K in cascade with a transfer function G(s), the loop gain KG(s) for some fixed K > 0 known to generate the asymptotic Bode plot description shown in Figure 4. (dB) Magnitude (deg) Phase 892000 60 40 -20 -40 -60 -80 90 45 0 -45 -90 -135 -180 -225 0.01 0.1 0.4 1 4 10 40 100 Frequency (rad/sec) 400 1000 10000

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A negative unity-feedback LTI system has a forward element consisting of an amplifier with adjustable
real-valued gain K in cascade with a transfer function G(s), the loop gain KG(s) for some fixed K > 0
known to generate the asymptotic Bode plot description shown in Figure 4.
Magnitude (dB)
(deg)
Phase
60
40
20
80
-20
-40
-60
-80
90
45
0
-45
-90
-135
-180
-225
10
4
40 100 400 1000
Frequency (rad/sec)
Figure 4: Asymptotic Approximation of Bode Plot for KG(s) for some fixed K > 0
0.01
0.1 0.4 1
10000
Transcribed Image Text:A negative unity-feedback LTI system has a forward element consisting of an amplifier with adjustable real-valued gain K in cascade with a transfer function G(s), the loop gain KG(s) for some fixed K > 0 known to generate the asymptotic Bode plot description shown in Figure 4. Magnitude (dB) (deg) Phase 60 40 20 80 -20 -40 -60 -80 90 45 0 -45 -90 -135 -180 -225 10 4 40 100 400 1000 Frequency (rad/sec) Figure 4: Asymptotic Approximation of Bode Plot for KG(s) for some fixed K > 0 0.01 0.1 0.4 1 10000
Assuming |G(j1)| = 1 = 0 dB, determine the value of K implied by the sketch.
Suggest corrections at two different frequencies in the magnitude plot.
(1) At w =
(2) At w =
Suggest corrections at two different frequencies in the phase plot.
(1) At w =
(2) At w =
K =
adjust KG(jw) dB by
adjust |KG(jw)|aB by.
adjust LKG(jw) by
adjust LKG(jw) by
Transcribed Image Text:Assuming |G(j1)| = 1 = 0 dB, determine the value of K implied by the sketch. Suggest corrections at two different frequencies in the magnitude plot. (1) At w = (2) At w = Suggest corrections at two different frequencies in the phase plot. (1) At w = (2) At w = K = adjust KG(jw) dB by adjust |KG(jw)|aB by. adjust LKG(jw) by adjust LKG(jw) by
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