Sugar limitation

I have recently been diagnosed with (diet controllable) type 2 diabetes. The books tell me how much fat I should limit myself to in any day, but can anyone tell me if there is an upper limit to the amount of sugar I can include in my daily intake. The analyses charts on the food labels will show xx grams of carbohydrate (of which x.x grams are from sugars). Ideally I appreciate that this should probably be zero, but virtually everything on the supermarket shelf contains some sugar.

Thanks