L17E104 Control Systems Lecture 17 Exercise 104: Bode plot with Matlab
MECE3350 Control System. Lecture 17, Exercise 104: Bode plots with complex poles.
Lecture here: • Video
Lecture notes here: https://www.biomechatronics.ca/teaching/
See the Matlab code posted below.
%Lecture 17, exercise 104
clear all
close all
%define the range of frequencies
w = 10^(-3):10^(-3):10^3;
%calculate the magnitude of the transfer function
Magnitude = 20*log10(30)-20*log10(((30-w.^2).^2+w.^2).^0.5);
%calculate the phase of the transfer function
Phase = 0 - atan2(w,(30-w.^2));
%convert rad to deg
Phase = Phase*180/(2*pi);
%plot phase and magnitude
subplot(3,1,1)
semilogx(w, Magnitude); %or plot(20*log10(x), Magnitude)
xlabel('Frequency [rad/s]');
ylabel('Magnitude [dB]');
subplot(3,1,2)
semilogx(w, Phase); %or plot(20*log10(x), Phase)
xlabel('Phase [deg]');
ylabel('Magnitude [dB]');
%plot Bode using the pre-built function
subplot(3,1,3)
s= tf([1 0],[1]);
G = 30/(s^2+s+30);
bode(G)
%display the maximum value of G(s)
max(Magnitude)
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