E10.3 A unity feedback control system in a manufacturing system has a process transfer function

G(s) = 1 s+1' and it is proposed to use a compensator to achieve a percent overshoot P.O. < 5% to a step input. The compensator is [4] G.(S) = K(1+1). TS which provides proportional plus integral control. Show that one solution is K = 0.5 and 7 = 1.