Answer Happy

QUESTION 2: A closed-loop control system is given in the figure below. System one the order and transfer function 𝐺𝑠 = [𝑒^(-2𝑠)]/𝑠+1 it is given as. The sampling period is 1 second.
Design a digital PI controller with a damping ratio of 0.5 and a ratio of Wd/Ws=1/10(the number of samples per cycle of damped sinusoidal oscillation). Get the unit-digit system answer and draw it (by typing the gain coefficients that you found in the controller design instead of the pulse transfer function)
Show all your calculations and MATLAB codes.
C(t) R(t) Digital ZOH System Controller R(s) R(z) Y-B00T Т G(s) C(s) C(z) Gd(z) PI