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Root Locus and Controller Design

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See attached files for full problem descriptions.

Question 3
The damping factor is ς = 0.5. Find Kp and ωn to have closed loop poles.
There is a breakpoint is at s = -0.53.

L(s) =

Question 2

P(s) =

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Solution attaches two zip files to answer two sets of questions on root locus and controller design.

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