Question

Consider the casual CT systems with transfer functions:

H1(s)= (s+1)/(s+2)(s^2+s+16)

H2(s)= s/(s+10)(s+1)

H3(s)= 1/(s-1)(s+1)

H4(s)= s/(s+1)(s^2+s+16)

1) Write magnitude and phase expression for their Bode Plots and Sketch their asymptotes. Verify Using Matlab.

2) Compute their steady-state response to cos(5t) u(t) + 3u(t) + cos(10t) e^-t u(t).

***Please show slope computations and conversions for the graphs. This is where I am unable to move forward.

Answer 1

Theory of bolde plot asymptotes.

From above theory bode plot asyptotes for given trasfer functions are

the i will explain matlab code for verification and second part clearly if you understand above explanation

please comment on this explanation. such that i will proceed.

Since I don't have Matlab access currently I am posting the code of Four transfer function bode plots

you can verify it in your matlab

Matlab code:

num = [1 1];
den = [1 3 18 32];
sys1 = tf(num,den)
bode(sys1);
grid on;
=======================================================
num = [1];
den = [1 11 10];
sys2 = tf(num,den)
bode(sys2);
grid on;
=========================================================
num = [1];
den = [1 -1];
sys3 = tf(num,den)
bode(sys3);
grid on;
====================================================
num = [1 0];
den = [1 3 18 32];
sys4 = tf(num,den)
bode(sys4);
grid on;

Please run code one by one not at a tiem all.