Reference no: EM132952070

Challenge - MATLAB Frequency Domain Response

Exercises
Question 1. Generate Bode Plots of the transfer functions given below. Use them to obtain the following information.

G(s) = 40/(s + 10), G(s) = 20/( s² + 10.01s + 0.1), G(s) =50/( s² + 0.4s + 0.04) , G(s) = 5/( s³ + 100.102s² + 10.2002s + 0.02)

a) Gradients of the magnitude response (before and after each break frequency);
b) Values of the break frequencies;
c) Values of the Time Constants (τ);
d) DC Gain (k);
e) Phase shifts before and after each break frequency;
f) Factorize the denominator (confirm that the transfer functions are made up of 1st order systems), obtain the generic 1st order forms of the denominator, and confirm the values of time constants and gain with the values obtained from Bode Plots.

Question 2. Generate Bode Plots of the transfer functions given below. Use them to obtain the following information.

G(s) = 12/(s² + 0.4s + 4), G(s)= 12500/(s³ + 102s² + 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.

Attachment:- MATLAB Frequency Domain Response.rar