A closed-loop system with negative feedback is defined with a forward path transfer function given by and a unit feedback path. Evaluate the phase margin of the system. G(s) = = 10 s² +3s+2 The Bode plot of the forward path transfer function G(s) is provided: 20 Phase (deg) Magnitude (dB) -20 -40 -60 80 -45 -90 0 -135 -180 10-2 10-1 10° 101 Frequency (rad/s) 102

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The gain crossover frequency wg =4 rad/s, and 

The desired phase margin phi d =60

What compensator should I use? 

A closed-loop system with negative feedback is defined with a forward path transfer function given by
and a unit feedback path.
Evaluate the phase margin of the system.
G(s) =
=
10
s² +3s+2
The Bode plot of the forward path transfer function G(s) is provided:
20
Phase (deg)
Magnitude (dB)
-20
-40
-60
80
-45
-90
0
-135
-180
10-2
10-1
10°
101
Frequency (rad/s)
102
Transcribed Image Text:A closed-loop system with negative feedback is defined with a forward path transfer function given by and a unit feedback path. Evaluate the phase margin of the system. G(s) = = 10 s² +3s+2 The Bode plot of the forward path transfer function G(s) is provided: 20 Phase (deg) Magnitude (dB) -20 -40 -60 80 -45 -90 0 -135 -180 10-2 10-1 10° 101 Frequency (rad/s) 102
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