1. Consider the unity feedback closed-loop control system shown below, with

100

G(s) = s(s² + 20s + 10)

R(S)

G(s)

C(s)

a. Determine the transfer function T(s) = C(s)/R(s)

b. Determine the poles and zeros of T(s)

c.

Use a unit step input, R(s)=1/s, and obtain the partial fraction expansion for C(s) and the value of the

residues.