Choosing accelerometer or displacement sensor for system
You will need some displacement sensing for sure, otherwise the bias error will accumulate and your table will eventually slam into the end stops. 

I would suggest looking at displacement feedback via an encoder on the servomotor and monitoring with an accelerometer if desired/required. If you are using a commercial control system you may be feeding it a displacement signal directly. Of course the servo will have limitations in force (acceleration) as well as slew rate and you will want to filter and pre-process the file before sending it through to the actuator(s). 

Fortunately the kinematics for this setup are simple (as opposed to, say, a hexapod) so it should not be too hard to compute.