Question: Consider the G(s) = 10 / [s(s + 1)], Plot root loci for G(s), It is desired to design a lead compensator Gc(s) that

Consider the G(s) = 10 / [s(s + 1)], Plot root loci 

Consider the G(s) = 10 / [s(s + 1)], Plot root loci for G(s), It is desired to design a lead compensator Gc(s) that the dominant closed-loop poles have the damping ratio 1=0.5 and the undamped natural frequency wn = 3 rad/sec. Plot root loci of the designed system. {[1] Page 313} Comparison of step responses of the compensated and uncompensated systems. Comparison of Unit-ramp response curves of designed systems.

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