Consider a unity feedback loop system with the process given as: as + B S+Y (1)...

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Consider a unity feedback loop system with the process given as: as + B S+Y (1) (ii) G(s) = 1 s²+3s +1' C(s) a, B.y >0 Design a controller C(s) and a pre-filter P(s) so that the overall closed loop control system has a minimum ITAE performance index for a step input that also yields a settling time of 0.5 seconds and an overshoot 1.5%. Generate the step response plot for the controlled system with C(s) and P(s). Save the plot. Consider a unity feedback loop system with the process given as: as + B S+Y (1) (ii) G(s) = 1 s²+3s +1' C(s) a, B.y >0 Design a controller C(s) and a pre-filter P(s) so that the overall closed loop control system has a minimum ITAE performance index for a step input that also yields a settling time of 0.5 seconds and an overshoot 1.5%. Generate the step response plot for the controlled system with C(s) and P(s). Save the plot.