For the following transfer functions, compute the undamped natural frequency wn the damping ratio and the steady state gain K. State whether the system is underdamped, overdamped, critically damped or undamped. G(s) G3 (s) = = f(s) 2 s+2s+4 G (s) 1 s + 20s +100 e(s) G(s) = G(s): A second-order system has a percent overshoot %0max= 12 % and a settling time T, = 0.6 second. Find the location of the second-order pair of poles. C(s) Calculate the steady state error for the following unity negative feedback loop in Figure Q5. Assume the reference F(s) is a unit step input and do(s) = 0, check for stability first. What are the implications of integral placement in either G(s) or C(s) on the steady state error? (s) = Figure Q5 S-1 (s + 1)(s + 2) 10 s +25 10 s + 16s + 16 G(s) do(s) [8 MARKS] C(s) = 0.4 y(s) [7 Marks]