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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)
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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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?

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
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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