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(9) The Bode diagram of the open-loop transfer function G(s) of a unity feedback control system is obtained experimentally and is shown below when its loop gain K is set at its nominal value, Ko. 1. Find the gain and phase margins of the system from the diagram as best you can read. Also find the gain and phase crossover frequencies. Gain crossover frequency @₁ = Phase crossover frequency 02 = GM = PM = 2. Repeat part (1) if the loop gain K is 10 times its nominal value (i.e., K = 10 Ko). Gain crossover frequency @₁ = Phase crossover frequency o2 = GM= PM = 3 Find out how much the loop gain K must be changed from its nominal value Ko (i.e., K = a Ko) if the gain margin is to be 40 dB. α = 4 Find out how much the loop gain K must be changed from its nominal value Ko (i.e., K = BK) if the phase margin is to be 45°. В 60 40 1.0 1000 | G(jw) | (dB) ZG(jw) (deg) 20 0 -20 -40 -60 -80 -100 -120 0.01 0 -45 -90 -135 -180 -225 -270 0.01 0.1 0.1 1.0 w (rad/sec) w (rad/sec) 10 10 100 100 1000

(9) The Bode diagram of the open-loop transfer function G(s) of a unity feedback control system is obtained experimentally and is shown below when its loop gain K is set at its nominal value, Ko. 1. Find the gain and phase margins of the system from the diagram as best you can read. Also find the gain and phase crossover frequencies. Gain crossover frequency @₁ = Phase crossover frequency 02 = GM = PM = 2. Repeat part (1) if the loop gain K is 10 times its nominal value (i.e., K = 10 Ko). Gain crossover frequency @₁ = Phase crossover frequency o2 = GM= PM = 3 Find out how much the loop gain K must be changed from its nominal value Ko (i.e., K = a Ko) if the gain margin is to be 40 dB. α = 4 Find out how much the loop gain K must be changed from its nominal value Ko (i.e., K = BK) if the phase margin is to be 45°. В 60 40 1.0 1000 | G(jw) | (dB) ZG(jw) (deg) 20 0 -20 -40 -60 -80 -100 -120 0.01 0 -45 -90 -135 -180 -225 -270 0.01 0.1 0.1 1.0 w (rad/sec) w (rad/sec) 10 10 100 100 1000

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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(9) The Bode diagram of the open-loop transfer function G(s) of a unity feedback control system is obtained experimentally and is shown below when its loop gain K is set at its nominal value, Ko. 1. Find the gain and phase margins of the system from the diagram as best you can read. Also find the gain and phase crossover frequencies. Gain crossover frequency @₁ = Phase crossover frequency 02 = GM = PM = 2. Repeat part (1) if the loop gain K is 10 times its nominal value (i.e., K = 10 Ko). Gain crossover frequency @₁ = Phase crossover frequency o2 = GM= PM = 3 Find out how much the loop gain K must be changed from its nominal value Ko (i.e., K = a Ko) if the gain margin is to be 40 dB. α = 4 Find out how much the loop gain K must be changed from its nominal value Ko (i.e., K = BK) if the phase margin is to be 45°. В 60 40 1.0 1000 | G(jw) | (dB) ZG(jw) (deg) 20 0 -20 -40 -60 -80 -100 -120 0.01 0 -45 -90 -135 -180 -225 -270 0.01 0.1 0.1 1.0 w (rad/sec) w (rad/sec) 10 10 100 100 1000
Transcribed Image Text:(9) The Bode diagram of the open-loop transfer function G(s) of a unity feedback control system is obtained experimentally and is shown below when its loop gain K is set at its nominal value, Ko. 1. Find the gain and phase margins of the system from the diagram as best you can read. Also find the gain and phase crossover frequencies. Gain crossover frequency @₁ = Phase crossover frequency 02 = GM = PM = 2. Repeat part (1) if the loop gain K is 10 times its nominal value (i.e., K = 10 Ko). Gain crossover frequency @₁ = Phase crossover frequency o2 = GM= PM = 3 Find out how much the loop gain K must be changed from its nominal value Ko (i.e., K = a Ko) if the gain margin is to be 40 dB. α = 4 Find out how much the loop gain K must be changed from its nominal value Ko (i.e., K = BK) if the phase margin is to be 45°. В 60 40 1.0 1000 | G(jw) | (dB) ZG(jw) (deg) 20 0 -20 -40 -60 -80 -100 -120 0.01 0 -45 -90 -135 -180 -225 -270 0.01 0.1 0.1 1.0 w (rad/sec) w (rad/sec) 10 10 100 100 1000
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