Question: A unity feedback system has the loop transfer function L ( s ) = G c ( s ) G ( s ) = G

A unity feedback system has the loop transfer function
L(s)=Gc(s)G(s)=Gc(s)5s(s2+5s+12)
a. Determine the step response when Gc(s)=1, and calculate the settling time and steady state for a ramp input r(t)=t,t>0.
b. Design a phase-lag compensator using the root locus method so that the velocity constant (Kv) is increased to 10. Determine the settling time (with a 2% criterion) of the compensated system.
A unity feedback system has the loop transfer

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