For a hydroponics system, you will have to submit intermittent samples for elemental analysis, like Borek: suggests. You should compare those results with a simpler analysis -- conductivity for example, or even specific gravity or refractive index. Then, you can estimate what's likely been absorbed by means of a simple test, instead of waiting for the elemental analysis each time.
You can also make a historical trend, based on the amount of light the plants have received, and the time of year, and amount of growth. For example, roughly 50% of the dry mass of any living thing is protein, so from the growth, you can try to estimate the nitrogen consumption. Likewise, calcium is mostly used to make pectin between cell walls, and will also track biomass.
In the end, all this data goes into some sort of guesstimate on how often you should change the hydroponic media, or how often you should inject more concentrate, or just inject more water with minimal nutrients so the plants don't just make plant matter instead of fruits/flowers.
I have the canonical hydroponics text by Rech, but other good ones should give you topics along these lines.