Question: Given the MATLAB program that solves the difference equation of a digital controller. (a) Find the transfer function of the controller. (b) Find the (z)-transform

Given the MATLAB program

>>s1 = 0; e = 0; for k = 0:5

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that solves the difference equation of a digital controller.

(a) Find the transfer function of the controller.

(b) Find the \(z\)-transform of the controller input.

(c) Use the results of parts (a) and (b) to find the inverse \(z\)-transform of the controller output.

(d) Run the program to check the results of part (c).

>>s1 = 0; e = 0; for k = 0:5

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