Bode Diagram -50 -100 -150 -200 -45 -90 -135 -180 -225 -270 o-1 10 100 101 bode pole 3 (rad/s) 102 103 104 Root Locus 20 15 10 -5 -10 -15 -20 -250 -200 -150 -100 -50 50 100 150 200 3 (seconds) Phase (deg) Magnitude (dB) 3 (seconds ) LO Bode Diagram Bode Diagram -50 -50 -100 -100 -150 -150 -200 -45 -200 -90 -135 -45 -180 -90 -225 -135 -270 101 bode pole 1 (rad/s) 102 103 101 100 104 -180 -225 Root Locus -270 10 bode pole 2 (rad/s) 103 102 100 104 10-1 15 10 Root Locus 20 15 10 -10 -5 -10 -15 -15 -20 -250 -20 -400 -200 -150 -100 -50 50 100 150 200 -350 -300 -250 -200 -150 -100 -50 1 (seconds) 2 (seconds) Phase (deg) Magnitude (dB) 1 (seconds) 20 .......... .......... Phase (deg) Magnitude (dB) 2 (seconds ) LO

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Question

which of the bode + root locus graphs is a set of the stable system?

 

two screen shots, each containing body and root locus plot of each system. Each is labeled 1,2,3

 

Please explain/  interperate the stability 

Bode Diagram
-50
-100
-150
-200
-45
-90
-135
-180
-225
-270
o-1
10
100
101
bode pole 3 (rad/s)
102
103
104
Root Locus
20
15
10
-5
-10
-15
-20
-250
-200
-150
-100
-50
50
100
150
200
3 (seconds)
Phase (deg)
Magnitude (dB)
3 (seconds )
LO
Transcribed Image Text:Bode Diagram -50 -100 -150 -200 -45 -90 -135 -180 -225 -270 o-1 10 100 101 bode pole 3 (rad/s) 102 103 104 Root Locus 20 15 10 -5 -10 -15 -20 -250 -200 -150 -100 -50 50 100 150 200 3 (seconds) Phase (deg) Magnitude (dB) 3 (seconds ) LO
Bode Diagram
Bode Diagram
-50
-50
-100
-100
-150
-150
-200
-45
-200
-90
-135
-45
-180
-90
-225
-135
-270
101
bode pole 1 (rad/s)
102
103
101
100
104
-180
-225
Root Locus
-270
10
bode pole 2 (rad/s)
103
102
100
104
10-1
15
10
Root Locus
20
15
10
-10
-5
-10
-15
-15
-20
-250
-20
-400
-200
-150
-100
-50
50
100
150
200
-350
-300
-250
-200
-150
-100
-50
1 (seconds)
2 (seconds)
Phase (deg)
Magnitude (dB)
1 (seconds)
20
..........
..........
Phase (deg)
Magnitude (dB)
2 (seconds )
LO
Transcribed Image Text:Bode Diagram Bode Diagram -50 -50 -100 -100 -150 -150 -200 -45 -200 -90 -135 -45 -180 -90 -225 -135 -270 101 bode pole 1 (rad/s) 102 103 101 100 104 -180 -225 Root Locus -270 10 bode pole 2 (rad/s) 103 102 100 104 10-1 15 10 Root Locus 20 15 10 -10 -5 -10 -15 -15 -20 -250 -20 -400 -200 -150 -100 -50 50 100 150 200 -350 -300 -250 -200 -150 -100 -50 1 (seconds) 2 (seconds) Phase (deg) Magnitude (dB) 1 (seconds) 20 .......... .......... Phase (deg) Magnitude (dB) 2 (seconds ) LO
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