A unity feedback system of the form shown in Figure 10.1(a) has a plant

(a) Determine the step response when Gc(s) = l, and calculate the settling time and steady state for a ramp input r(t) = t, t > 0. (b) Design a lag network 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.

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(01+59 +2 )s = (s)D