Question: Consider the closed-loop transfer function T(s) = 1 / s5 + 2s4 + 2s3 + 4s2 + s + 2. (a) Using the Routh-Hurwitz method,

Consider the closed-loop transfer function
T(s) = 1 / s5 + 2s4 + 2s3 + 4s2 + s + 2.
(a) Using the Routh-Hurwitz method, determine whether the system is stable. If it is not stable, how many poles are in the right half-plane?
(b) Compute the poles of T(s) and verify the result in part (a).
(c) Plot the unit step response, and discuss the results.

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