P10.36 A system transfer function is a pure time delay of 0.5 s, so that G s( ) = e−s/2. Select a compensator G s c ( )

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 P M. . ≥ 30°. Determine the bandwidth of the compensated system and plot the step response.

Assume a unity feedback system.