ipaproube (Sop) asend (ap) apruby (1) Shown below are the bode plots of the open-loop transfer function (OLTF) of different system. If OLTF has no poles at the RHP. Which systems are stable? Phase (dog) 25 20 15 -10 60 40 20 0 40 -60 -80 -100 -120 -135 -225 -270 101 System 1 Bode Diagram Frequency tradis Bode Diagram Frequency (rad) System 3 Magnude() Busted Magnitude (dB) Phase de -80 -100 -135 -180 -225 -270 -315 no 20 0 -60 -80 -100 0 -120 5 -135 -180 -225 -270 109 10² (2) Among the stable systems, which one has the least relative stability? 10⁰ System 2 Bode Diagram Frequency (ads) Bode Diagram 10" Frequency (rad/s) System 4 10² 10 10

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Magnitude (dB)
(1) Shown below are the bode plots of the open-loop transfer function (OLTF) of different system. If OLTF has no
poles at the RHP. Which systems are stable?
System 2
Magnitude (dB)
Phase (deg)
25
Phase (deg)
20
15
10
0
-5
-10
-00
to!
60
40
20
0
8 8 8 8
-100
-120
-135
-180
-225
-270
101
10°
System 1
Bode Diagram
Frequency (rad/s)
Bodo Diagram
10¹
System 3
10²
(3) apr
(Bap) assid
Magnitude (dB)
Phase (deg)
20
-20
-60
8
-80
-100
0
198
-135
-180
-225
-270
-315
0-
-360
20
0
-20
-40
-60
-100
8'
0
-90
-135
-225
-180-
-270
10:2
10¹
Frequency (rad/s)
(2) Among the stable systems, which one has the least relative stability?
102
10
10⁰
Bode Diagram
10⁰
Frequency (rad/s)
Bode Diagram
10¹
Frequency (rad/s)
10¹
System 4
10²
10²
10
Transcribed Image Text:Magnitude (dB) (1) Shown below are the bode plots of the open-loop transfer function (OLTF) of different system. If OLTF has no poles at the RHP. Which systems are stable? System 2 Magnitude (dB) Phase (deg) 25 Phase (deg) 20 15 10 0 -5 -10 -00 to! 60 40 20 0 8 8 8 8 -100 -120 -135 -180 -225 -270 101 10° System 1 Bode Diagram Frequency (rad/s) Bodo Diagram 10¹ System 3 10² (3) apr (Bap) assid Magnitude (dB) Phase (deg) 20 -20 -60 8 -80 -100 0 198 -135 -180 -225 -270 -315 0- -360 20 0 -20 -40 -60 -100 8' 0 -90 -135 -225 -180- -270 10:2 10¹ Frequency (rad/s) (2) Among the stable systems, which one has the least relative stability? 102 10 10⁰ Bode Diagram 10⁰ Frequency (rad/s) Bode Diagram 10¹ Frequency (rad/s) 10¹ System 4 10² 10² 10
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