Given the open-loop transfer function of the control system: G(s) = 800(s + 0.5) (s+9)(s² + 2s + 25) Draw the Bode plot of G(s) and determine: (i) Gain crossover frequency (0 dB frequency) (ii) Phase crossover frequency (180° frequency) Phase margin Damping ratio (5) Peak value (MP) Percentage overshoot (% OS) (iii) Gain margin (iv) (v) (vi) (vii) (viii) (ix) (x) (xi) Peak time (Tp) Frequency at which the peak/overshoot occurs (wp) Closed-loop bandwidth Settling time (Ts)
Given the open-loop transfer function of the control system: G(s) = 800(s + 0.5) (s+9)(s² + 2s + 25) Draw the Bode plot of G(s) and determine: (i) Gain crossover frequency (0 dB frequency) (ii) Phase crossover frequency (180° frequency) Phase margin Damping ratio (5) Peak value (MP) Percentage overshoot (% OS) (iii) Gain margin (iv) (v) (vi) (vii) (viii) (ix) (x) (xi) Peak time (Tp) Frequency at which the peak/overshoot occurs (wp) Closed-loop bandwidth Settling time (Ts)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Question
![Given the open-loop transfer function of the control system:
G(s)
=
800(s + 0.5)
(s+9)(s² + 2s + 25)
Draw the Bode plot of G(s) and determine:
(i)
Gain crossover frequency (0 dB frequency)
(ii) Phase crossover frequency (180° frequency)
Phase margin
Damping ratio (5)
Peak value (MP)
Percentage overshoot (% OS)
(iii)
Gain margin
(iv)
(v)
(vi)
(vii)
(viii)
(ix)
(x)
(xi)
Peak time (Tp)
Frequency at which the peak/overshoot occurs (wp)
Closed-loop bandwidth
Settling time (Ts)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6684f5a2-6cd5-4d80-a4b7-e013fb5974c7%2F09a80811-ad95-4e98-b191-4271e37af354%2F0fz18vo_processed.png&w=3840&q=75)
Transcribed Image Text:Given the open-loop transfer function of the control system:
G(s)
=
800(s + 0.5)
(s+9)(s² + 2s + 25)
Draw the Bode plot of G(s) and determine:
(i)
Gain crossover frequency (0 dB frequency)
(ii) Phase crossover frequency (180° frequency)
Phase margin
Damping ratio (5)
Peak value (MP)
Percentage overshoot (% OS)
(iii)
Gain margin
(iv)
(v)
(vi)
(vii)
(viii)
(ix)
(x)
(xi)
Peak time (Tp)
Frequency at which the peak/overshoot occurs (wp)
Closed-loop bandwidth
Settling time (Ts)
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