Question: A plant is represented by the transfer function: a. A discrete controller is desired that improves the response to obtain an overshoot of 10% at

A plant is represented by the transfer function:

a. A discrete controller is desired that improves the response to obtain an overshoot of 10% at 2 seconds of a unit step input; it must have no stationary error of position. For this purpose, only one Z pole of the plant shall be retained exclusively.

The sampler shall allow 20 samples per oscillation cycle.

b. Calculate the stability margin of the resulting system.

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