Finding the correct zero placement in MATLAB for control system design

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Homework Statement



Attached below.

Homework Equations



How can I know I got the correct set of parameter in step 5. I did everything using MATLAB but couldn't figure out how to get the right value of the zero.

The Attempt at a Solution



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Just use rltool, choose your specifications and then vary the zero such that the closed loop poles lie inside the area that isn't shaded. You should be able to identify an upper and lower bound for the zero.