Question: Consider the following system with T = 1s. Let the digital controller, D(z), be equal to a variable gain K. Hence m(kT) = Ke(kT). Figure

Consider the following system with T = 1s. Let the digital controller, D(z), be equal to a variable gain K. Hence m(kT) = Ke(kT). Figure 1: System for Problem Plot the z-plane root locus by hand. However, feel free to verify your answer using MATLAB. Determine the range of K values that ensure stability using the results of part feel free to use MATLAB, explain how.

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