Consider the closed loop control system with P-controller as shown. The plant transfer function is expressed as G(s) = (a) Find the type number of the system and compute steady-state error for unit step input. (b) Calculate the required K in order to yield a steady-state error of 0.1 for unit ramp input. 4 s(s+1) Based on the value of K obtained in part b, find (c) the damping ratio and natural frequency an. (d) the settling time and percentage overshoot of the response. (e) the response y(t) for unit step input. R(s) K G(s) -Y(s)