R(s) Y(s) |G.(s) G(s) Figure 1 12 Given a control system in Figure 1, in which G(s)= (s+2)? Design the controller G(s) such that the closed-loop system has a pair of complex poles at s, = -4+ j5, and...

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Extracted text: R(s) Y(s) |G.(s) G(s) Figure 1 12 Given a control system in Figure 1, in which G(s)= (s+2)? Design the controller G(s) such that the closed-loop system has a pair of complex poles at s, = -4+ j5, and the steady state error to unit step input is 0.04. Calculate the expected POT and settling time (2% criterion)