Is the step response of the discretized plant representing the satellite attitude different when we assume a D/A converter with a FOH instead of the most habitual ZOH? Why? What is the effect of sampling time now?

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Answer

FOH is a more sophisticated method, therefore as expected the new step response is closer to the original, continuous, one. Sampling period does not change the coincidence period after period.

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In this particular system we cannot see differences but in general the FOH method guarantees the same stability for the discrete and continuous system, meanwhile the ZOH method does not.

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Just the same as sampling period, for this plant using ZOH, FOH, SOH or any similar method does not change at all the behavior of the system

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Discretizing with the FOH method guarantees the same response to a ramp, not to a step. Therefore we can see that the step response is different from the previous (identical period after period to the continuous one). Sampling period has the same effect, coincidence every period.

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