About stepper motors controlling (help)

I'm looking for the best way for stepper motor controlling: I tried to
approximate the continuous space versus time curve, calculating the
time intervals where space increase one but it requires square root
and divisions that whould force me to choose a very fast
microcontroller/dsp. I've looked for some commercial controller and
I've seen that all of them have a cycle loop: seems like they don't
control directly space; they instead update the speed at any control
cycle approximating so the speed versus time curve: it is correct ?

Thanks in advance.

Simone Navari.

.

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