Question: A system's open-loop transfer function is a pure time delay of 0.5 s, so that G(s) = e-s/2. Select a compensator Gc(s) so that the

A system's open-loop transfer function is a pure time delay of 0.5 s, so that G(s) = e-s/2. Select a compensator Gc(s) so that the steady-state error for a step input is less than 2% of the magnitude of the step and the phase margin is greater than 30°. Determine the bandwidth of the compensated system and plot the step response.

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