A unity negative feedback closed loop system has a plant with the transfer function G(s) = ^{$\dfrac{1}{s^2 + 2s +2}$} and a controller G_c(S) in the feed forward path. For a unit set input, the transfer function of the controller that gives minimum steady state error is

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Accepted Answer

G_C(s) = 1 + ^{$\dfrac{2}{s}$}+ 3s

A unity negative feedback closed loop system has a plant with the transfer function G(s) = $\dfrac{1}{s^2 + 2s +2}$ and a controller Gc(S) in the feed forward path. For a unit set input, the transfer function of the controller that gives minimum steady state error is