The problem i have is more or less is biology related, but I can simplify the problem as such. I have a tank of water. I try to increase the concentration level of this tank of a certain substance (X) at a fixed rate. Too fast or slow of change of concentration X is undesirable. I have infusion of concentrated X solution to the tank, with known concentration but adjustable rate. And there is a unknown leak of fluid in the tank. Every fixed amount of time, I measure the concentration of the tank, and need to change the infusion rate such that the desired rate of change is achieved.

The only mathematical relationship is as follows Concentration = solute / volume of solvent

New concentration = (tank volume x tank solute concentration + infusion rate x infusion solute concentration - loss volume x loss solute concentration ) / (tank volume + infusion rate - loss volume)

How would I design such control system?

  • $\begingroup$ Welcome to Robotics Hairy Ass, that's an interesting first question. To help us understand what you need, it would be a good idea to edit your question to include details of what you want to understand, what you've researched so far, what you found & what you expected to find. If you haven't already done so, please take a look at How to Ask & tour for more information on how stack exchange works. $\endgroup$ – Mark Booth Feb 11 at 11:23

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