let () = 1 and () = 1 / (s)(s+1)(s+4). It is required the closed-loop system to have a percent overshoot of less than 13% with a steady state error for a unit ramp input less than 0.125. Design a suitable controller to meet the specifications. Show your full workings and include any relevant MATLAB codes and figures to validate your design.

+ R(S) G.(5) G(s) 10 s(s + 1)(s + 10) Y(s)