A unity feedback system has the loop transfer function

(a) Determine the step response when G_c  (s) = 1, and calculate the settling time and steady state for a ramp input r(t) = t, > 0. 

(b) Design a phase-lag compensator using the root locus method so that the velocity constant is increased to 10. Determine the settling time (with a 2% criterion) of the compensated system.

Transcribed Image Text:

L(s) = Ge(s)G(s) 5 s(s² + 5s + 12) Ge(s)