Exercise 1: the transfer function of the plant is: 1/(𝐿∙𝑠+𝑟), where L = 2*10^(-4), r = 0.1; a) W

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Exercise 1: the transfer function of the plant is:
1/(𝐿∙𝑠+𝑟), where L = 2*10^(-4), r = 0.1;
a) Write a MATLAB code to design a PI controller to make the
cutoff frequency at 2 kHz. (it is Hz not rad/s!!), show the
bode plot before and after using the PI controller.
b) For a close loop system, input is sin(2*pi*500*t) and
sin(2*pi*5000*t), respectively, get the
output and attach both input and output waveforms using MATLAB
code.