A unity feedback system has the loop transfer function

L(s)G(s)G(s) = Ge(s) 5 s(s + 5s + 12) (a) Determine the step response when Ge(s) = 1, and calculate the settling time and steady state for a ramp input r(t) t,t 0. (b) Design a phase-lag compen- sator using the root locus method so that the veloc- ity constant is increased to 10. Determine the settling time (with a 2% criterion) of the compensated system.