A second order feedback control system has no zeros, two poles at −0.56 ± 1.63𝑖 and a gain 𝐾 = 15. (a) D

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A second order feedback control system has no zeros, two poles
at −0.56 ± 1.63𝑖 and a gain 𝐾 = 15. (a) Determine the closed-loop
transfer function. (3 marks) (b) If the feedback gain 𝐻(𝑠) = 1,
determine the open loop gain and draw the block diagram. (4 marks)
(c) For a unit step input, determine the natural frequency, damping
ratio and, if underdamped, the percent overshoot. (3 marks) (d) For
an unit step input, derive the time-domain expression for the
system output using partial fractions.