A) assuming that we require a percentage overshoot (po) of less than 9% and a settling time (ts) of less than 0.5 sec. show the design specification region on the s-plane that satisfies these two constrains. o) synthesize the lead compensator to stabilize this system
b) obtain the compensated closed loop transfer function. plot the root locus of the compensated loop transfer function. compare and comment on your plot with the root locus plot in part (i).
c)how does the compensated open loop system respond to an impulse input? obtain and comment on this response. s) how does the compensated open loop system respond to a step input? obtain and comment on this response
d) repeat steps (r) and (s) using the compensated closed loop transfer function. is the system stabilized?