Hi Rance,
We can compute it manually as the denominator contains a ‘−w^2' term, making it non-rational in terms of ‘s=jω’.
Follow the below steps to plot the magnitude characteristic:
1. Define frequency range (rad/s)
w = logspace(-1, 3, 1000); % from 0.1 to 1000 rad/s
2. Define s as jω
s = 1j * w;
3. Define the numerator and denominator
num = 10 .* (s + 10) .* (s + 100);
den = s .* (-w.^2 + 4 .* s + 102);
4. Compute the transfer function G(jw)
Gjw = num ./ den;
mag_dB = 20 * log10(abs(Gjw));
5. Plot the graph
semilogx(w, mag_dB, 'LineWidth', 2);
grid on;
xlabel('Frequency (rad/s)');
ylabel('Magnitude (dB)');
title('Magnitude Characteristic of Bode Plot');
Hope this is helpful!
