home build cnc cutting fabric machine

hello all 
I'm planning to build a fabric laser cutting machine
but as I have not enough space (and money) for buying a real machine and as I need to cut very long part, I've come up with an idea 
I will keep fabric on 2 rollers (1.5 m long) passing from one side on another from a cutting line (Y axis) with a moving laser diode head (X axis) 
if it was so simple I would use a cheap 3D printer / cn machin controler but whatbrings me here is that I need a closed loop position controller 
idea is that roller will be motorised by 2 motors ( left and right ) and will only working by pulling on fabric ( meaning that 2 motors will work in +Y and 2 in -Y) but I can't rely only on steps on motor to move accurately the fabric as depending on roller fabric diameter changing the distance of fabric moving on cutting line 

on the other hand fabric can also moves on X axis when rolling and unrolling and objective is to use differential of both right and left motors to correct position 
in my idea the close loop in postion control can be supporte by an optical mouse sensor that can track X and Y moves and I can put 2 on each side right and left 
my question is: is linux cnc can be configured to adapt of this strange machine ? 
 

thank's for any advice / idea / help

Cool idea. I also think this shoul be possible.

I am thinking of servos instead of steppers. Reason is build in encoders (ok cl steppers have it too) and the possibility to change to torque mode. So the two pulling servos in position mode doing the move and the two servos in torque mode can build up adjustable tension.

This setup than could be used as an initial meassure of the layer thickness and correct values for that.

I can imagine some kind of tape at the sides for all corrections. Like the tape on the shaper woodworking cnc handheld machine (dont know the exact name right now). This way you can use a camera like system an be on track all the time I guess.

Once the fabric is tensioned, linuxcnc should be able to use the joint axes to control 4 motors in unison. Normally, it is just used for 2 on both sides of a gantry but I know its Been used on a 4 joint Z axis where all 4 corners are lifted..

Oops, just thought. the tension should be able to be done using home offsets

hello every one thank's a lot for your supporting reviews 
I will try to reply all your questions 
maximumm Y length : could be mostly infinite but more probably arround 10 to 50 m as I'm mainly intrested in kite building (or hot air balloons if it works ) 
fabric to be cut will be mainly spinaker nylon witch is unstrechable and has 2 different sizes of frame that make a small patern easyly sens by optical mouse sensors 
ESP cam is a great idea if it could keep track of move even when speed rising up mouse sensor is mainly a very low res grey scale cam 

fabric tension : first idea was only to add a bit aof static friction on non pulling side motors but torque management is a good point too 
it could also avoid me to do somthing I've not explain yet I was planning to make in cutting back plate 2 serries of holes and hook it to small but enough vacuum source to suck the fabric on the back plate and cut between tow lines of holes 

to avoid wrinkles and other disasters when roolling and unrolling already cut parts I was thinking doing some kind of timestamping or tabs like on pcb pannels or others flat milling machines or wood or composites pannels 
 
thank's for all your advice 
now I think the best thing is to try few things 
can you please advise me some harware in order to connect all of this 
6 stepper controller (may be I will use one more small stepper to focus laser beam)
and 2 or 3 esp cam or mouse sensors (may be I can also get a closed loop on X axis)