Problem 1: b) c) | G (jw) dB (dB) d) Phase (deg) -20 -40 -60 -80 -180 -270 (i)≈ 5 dB (ii) (iii) 0 -360 Frequency (rad/s) Let=0 (i.e., the number of poles of G(s) in the open left-half plane is zero). The Bodé plot of G(jw) is given above. a) 10-1 What is the phase crossover frequency wp? What is the gain crossover frequency wg ? Bode magnitude and phase plot of G (jw) Choose the approximate Gain Margin GM in dB -10 dB 20 dB (i) -150° (ii) 30° (iii) 180° 10⁰ Choose the approximate Phase Margin PM in degrees: Is the closed-loop system Hyr = G 1+G 10¹ stable?

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Problem 1:
b)
c)
| G (jw) dB (dB)
d)
Phase (deg)
-20
-40
-60
-80
-180
-270
(i)≈ 5 dB
(ii)
(iii)
0
-360
Frequency (rad/s)
Let=0 (i.e., the number of poles of G(s) in the open left-half plane is zero). The Bodé plot of G(jw)
is given above.
a)
10-1
What is the phase crossover frequency wp?
What is the gain crossover frequency wg ?
Bode magnitude and phase plot of G (jw)
Choose the approximate Gain Margin GM in dB
-10 dB
20 dB
(i) -150°
(ii) 30°
(iii)
180°
10⁰
Choose the approximate Phase Margin PM in degrees:
Is the closed-loop system Hyr
=
G
1+G
10¹
stable?
Transcribed Image Text:Problem 1: b) c) | G (jw) dB (dB) d) Phase (deg) -20 -40 -60 -80 -180 -270 (i)≈ 5 dB (ii) (iii) 0 -360 Frequency (rad/s) Let=0 (i.e., the number of poles of G(s) in the open left-half plane is zero). The Bodé plot of G(jw) is given above. a) 10-1 What is the phase crossover frequency wp? What is the gain crossover frequency wg ? Bode magnitude and phase plot of G (jw) Choose the approximate Gain Margin GM in dB -10 dB 20 dB (i) -150° (ii) 30° (iii) 180° 10⁰ Choose the approximate Phase Margin PM in degrees: Is the closed-loop system Hyr = G 1+G 10¹ stable?
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