Consider a standard loop control system with an open-loop transfer function of
G(s)=(k(s^(2)+1))/((s+p)^(3))
. Determine
p
and
k
such that the closed loop dominant poles be located at
-2+-j
. Write the answer clearly and neatly, and do not use software like MATLAB or artificial intelligence for the response.

Question

Consider a standard loop control system with an open-loop transfer function of

G(s)=(k(s^(2)+1))/((s+p)^(3))

. Determine

p

and

k

such that the closed loop dominant poles be located at

-2+-j

. Write the answer clearly and neatly, and do not use software like MATLAB or artificial intelligence for the response.

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