System 1: 8 25 20 15 10 5 0 -5 -10 10 System 3: Magnitude (dB) 60 40 20 o -20 -40 I -80 -100 -120 -90 -135 -180 -225 Bode Diagram Frequency (rad/s) System 1 Bode Diagram 10 system 2 System 4: wwwwww.ww 20 -100 -45 -90 -135 -20 18 -180 -225 -270 -315 0 -60 -100 0 -120 0 -45 -90 -180 -225 10¹0 10 Bode Diagram 10° Frequency (rad/s) System 2 Bode Diagram 10
System 1: 8 25 20 15 10 5 0 -5 -10 10 System 3: Magnitude (dB) 60 40 20 o -20 -40 I -80 -100 -120 -90 -135 -180 -225 Bode Diagram Frequency (rad/s) System 1 Bode Diagram 10 system 2 System 4: wwwwww.ww 20 -100 -45 -90 -135 -20 18 -180 -225 -270 -315 0 -60 -100 0 -120 0 -45 -90 -180 -225 10¹0 10 Bode Diagram 10° Frequency (rad/s) System 2 Bode Diagram 10
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Question
The bode plots of the open-loop transfer function (OLTF) of different systems are shown below. Assume that the OLTF has no poles at the RHP.
1. Which systems (1-4) are stable?
2. Among the stable systems, which one has the least relative stability?
Transcribed Image Text:System 1:
Magnitude (dB)
25
Phase (deg)
20
15
10
5
0
-5
-10
-90
10-1
System 3:
Magnitude (dB)
Phase (deg)
60
40
20
0
-20
-40
-60
-80
-100
-120
-90
-135
-180
-225
-270
10-1
10⁰
10⁰
Bode Diagram
Frequency (rad/s)
System 1
Bode Diagram
10¹
Frequency (rad/s)
System 3
10¹
10²
10³
10²
System 2:
System 4:
Magnitude (dB)
Magnitude (dB)
Phase (deg)
Phase (deg)
-20
-40
-60
-80
-100
0
20
-45
-90
-135
-180
-225
-270
-315
-360
10:²
20
0
-20
o
-40
-60
-80
-100
-120
0
-45
-90
F
-135
-180
-225
-270
10-2
10-1
10
Bode Diagram
10⁰
Frequency (rad/s)
System 2
10⁰
Bode Diagram
10
Frequency (rad/s)
System 4
10¹
10²
10²
10³
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