Qu 2. Generate Bode Plots of the transfer functions given below. Use them to obtain the following information. 12 12500 G(s)= G(s)= s² +0.4s +4 s³+102s +225s +2500 a) Gradients of the magnitude response (before and after each break frequency); b) Values of break frequencies or peak frequency: c) DC Gain (k): d) Phase shifts before and after each break frequency: e) Factorise the denominator (confirm that the transfer functions are made up of 2nd order systems and possibly also a 1st order system), obtain the generic 2nd order and 1st order forms of the denominator, and confirm the values of undamped natural frequency, damping ratio and gain (for 1st order system components, time constant as well) with the values obtained from Bode Plots.

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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Qu 2. Generate Bode Plots of the transfer functions given below. Use them to obtain the following information.
12
12500
G(s)=-
s³ +102s² +225s + 2500
a) Gradients of the magnitude response (before and after each break frequency);
b) Values of break frequencies or peak frequency;
G(s) =
s² +0.4s +4
c) DC Gain (k);
d) Phase shifts before and after each break frequency;
e) Factorise the denominator (confirm that the transfer functions are made up of 2nd order systems and
possibly also a 1st order system), obtain the generic 2nd order and 1st order forms of the denominator, and
confirm the values of undamped natural frequency, damping ratio and gain (for 1st order system
components, time constant as well) with the values obtained from Bode Plots.
Transcribed Image Text:Qu 2. Generate Bode Plots of the transfer functions given below. Use them to obtain the following information. 12 12500 G(s)=- s³ +102s² +225s + 2500 a) Gradients of the magnitude response (before and after each break frequency); b) Values of break frequencies or peak frequency; G(s) = s² +0.4s +4 c) DC Gain (k); d) Phase shifts before and after each break frequency; e) Factorise the denominator (confirm that the transfer functions are made up of 2nd order systems and possibly also a 1st order system), obtain the generic 2nd order and 1st order forms of the denominator, and confirm the values of undamped natural frequency, damping ratio and gain (for 1st order system components, time constant as well) with the values obtained from Bode Plots.
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