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 s1=4+j4 and s2=4j4 - Obtain new transfer function by calculating Kc, 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