Hello Mat,
My gut feel is that the accelerometer solution will not maintain sufficient accuracy for position calculation. The double integration process is likely to introduce significant errors, exacerbated by very low levels of acceleration (2 metres movement over a few seconds), and therefore very low output levels.
You might wish to consider alternatives that directly measure position/displacement. One possibility might be an ultrasonic method, measuring reflected pulse delay. I guess the limiting factor here is that the amount of movement of the platform over the measurement delay period must not be large.
The measurement delay period will also limit the sampling rate. You may also find that you need to alternate the measurements for each plane, to minimize cross interference.
Just a few thoughts.
Regards,
Mac