Can you obtain the overshoot and peak time of the closed loop system from the step response of the discretized plant (satellite) multiplied by the compensator?

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If we add a controller that is not only proportional we will introduce a least a pole and therefore both the overshoot and the peak time will only be approximated because our closed loop system will be at least third order.

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Taking into account that the plant is second order, we could but not if the order were different

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No, the step response is just an approximation, we always need to look at the root locus

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Of course, from the step response we can always obtain them

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Can you obtain the overshoot and peak time of the closed loop system from the st...

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