Question: A plant has a transfer function We want to use a negative unity feedback with a PID controller and a prefilter. The goal is to

A plant has a transfer function

We want to use a negative unity feedback with a PID controller and a prefilter. The goal is to achieve a peak time of 1 second with ITAE-type performance. Predict the system overshoot and settling time (with a 2% criterion) for a step input.

25 G(s) = F.

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