One thing you might want to measure in your motion study is 'ringing'.
We had our laser cutting vendor try to mark 12 gage stainless sheet blanks with the same laser that cut them. They dialed down the power and dialed up the speed, but the laser left a hole wherever a character had a corner, because whatever elements were moving would wobble around a bit when asked to change direction abruptly. So they had to cut the parts on one machine, and mark them on a machine with much less laser power.
I was never clear about whether the ringing occurred because the moving parts were relatively massive, or if the servo system was out of adjustment, or if some parts of the machinery were nearing end of life.
Mike Halloran
Pembroke Pines, FL, USA