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For the figure below, G(s) = 9/s (s+0.5) a) For the compensator Gc(s) =1 Obtain Transfer function, Maximum overshoot and settling time for unit-step

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For the figure below, G(s) = 9/s (s+0.5) a) For the compensator Gc(s) =1 Obtain Transfer function, Maximum overshoot and settling time for unit-step input Draw i. unit step-response curve in MATLAB. ii. unit ramp-response curve in MATLAB. iii. Root-locus curve in MATLAB Obtain steady state error for unit-ramp input b) Design a lead compensator Gc(s) to shift the poles at new locations of S = - 4 + j4 and S2 = - 4 - j4 Obtain new transfer function by calculating Kc, a and Gc (s) Draw i. unit step-response curve in MATLAB. ii. unit ramp-response curve in MATLAB. iii. Root- locus curve in MATLAB Obtain steady state error for unit-ramp input + Ge(s) G(s)

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