My DUI case has been continued for two years because of decision to go to trial, what is the time limit for the court?

You have the right to a speedy trial, but if you are out on bond and the delay is due to your attorney's request for continuances or trial court congestion, then there is typically not much that can be done about it from a speedy trial standpoint.  You need to direct this question to your attorney.  If you feel that your attorney has been the reason for the delay, you are always free to hire different counsel.