AP5.1 Consider the following closed-loop transfer functions

T(s) = 10(s+1) (s+5)(s +2s+2) and s+10 T (s) = (s+5)(s+2s+2) (a) Determine the steady-state error for a unit step input. (b) Assume that the complex poles dominate, and determine the percent overshoot and settling time to within 2% of the final value. (c) Plot the actual system response, and compare it with the estimates of part (b).