I am working on developing linear MPC controller for Insulin+ glucagon pump for diabetes patient(Artificial pancreas).
The normal range of blood glucose subject should have is 70 mg\dl – 120 mg\dl.
If this range exceeds above 120 mg\dl then the subject requires insulin to regulate and control.
If the range falls below 70mg\dl subject requires glucagon to regulate.
Usually the blood glucose exceeds while having food or carbohydrate and falls down due to low sugar in the food due to exercise.
My aim is to develop MPC controller to regulate and maintain the blood glucose in the normal range say set point 90mg/dl for a long time by automatically inducing insulin and glucagon with respect to the blood glucose measurement.
I have chosen a plant model which has 22 differential equations. This model has 1 glucose output and 1 insulin and 1 glucagon port as input (2 inputs) MISO system.
Few of the requirements are:
Prediction horizon= 10 hours
Control horizon= 4 hours
Output setpoint= 90mg\dl
Sampling time =5mints
Or direct constraint values can also be used:
For output glucose: 60mg\dl <= y<= 180mg\dl
For insulin: 0<=u1<=80mU\min
For glucagon: 0<=u2<=0.5mg\min
Rate of flow of insulin: 16.7mU\min per sample time and glucagon 0.1mg\min
While developing cost function: what I want to control is glucose output and manipulating variable should be 2 variables: insulin and glucagon (insulin when glucose is high and glucagon when glucose is low)
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