Also commonly known as "microfibre" fabric
Great advice from Doug, I'd also add that you need to concentrate on two things when cleaning this fabric.
Firstly, agitation. Microfibre fabrics do respond well to microsplitters/colloids when agitated, but you need to make sure you don't go overboard or you'll cause pilling. If you've got an out of sight area to test on, get real rough with it on a small spot to see how susceptible it is to pilling - some are fine even under extreme agitation but some are not! Remember that the wear areas will already have experienced a fair amount of "rubbing" from being sat on.
Second thing is airflow. Lock-down is a big problem on microfibre, without airflow you'll not get as efficient a flushing action and leave more moisture behind. A CFR or Drimaster tool would probably be ideal, but if like me you haven't got around to buying one yet, you'll probably need to make a little adjustment in your hand tool technique. Try tilting your hand tool forwards on your backwards stroke, which will stop the fabric from being pulled too far into the vacuum slot and maintain the airflow.
Running your pump at a little less flow/pressure than normal will also help stop over wetting. The reason you don't want to over wet is because like Doug says this fabric can be susceptible to delamination, which can be cause by being too damp for too long. Towel each area off after cleaning and dry with fans. It'll probably take a bit longer to do a microfibre suite than, for example, a flat-weave cotton or something.