subcutaneous insulin infusion. A multilayer fuzzy controller will be designed to control this artificial pancreas. The controller has inputs defined within the following ranges: Blood sugar level: [80, 120] (mg/dL) Rate of change of blood sugar level: [-0.5, 0.5] ((mg/dL)/min) Acceleration rate of blood sugar level: [-0.005, 0.005] ((mg/dL)/min2)
Rule Table for BMD1
Rate of change of blood sugar level
N VL M H
Z M M H
P M H VH
The output of the controller is the insulin infusion dose, defined within the range [0, 2], whicl
Blood sugar level M H
will keep the blood sugar level of a diabetic patient at a normal range.
To generate an optimal insulin dosage based on observed inputs, a hierarchical system will
be used, consisting of fuzzy controllers with smaller rule bases, instead of creating a single
For the second level (BMD2) of the hierarchical system, the previously calculated insulin infusion amount from the first layer is combined with the effect of blood sugar acceleration
multi-rule fuzzy controller. The block diagram of this system is shown below.
rate to determine the optimal insulin infusion dose. In this case, three evenly distributed
triangular membership functions are used for the inputs within their defined ranges, and five
nsulin intusion dose
BMD1
BMD2
Optimal insulin infusion dose
Rate of change of
Acceleration rate of blood sugar level
Rule Table for BMD2
Acceleration rate of blood sugar level
The blood sugar level and rate of change of blood sugar level, which are generally smaller compared to the acceleration rate that can introduce noise in the output, contribute more the control actions. Therefore, in the first layer of the fuzzy controller, the initial insulin infusion amount is calculated by combining the blood sugar level and its rate of change. Th acceleration rate of blood sugar level is included in the second layer of the fuzzy controller
N VL VL M
Z VL
P L L VH
L insulin infusion amount M H
M
For the first level (BMD1) of the hierarchical system, each of its inputs consists of three equally distributed triangular fuzzy membership functions, while the output contains five equally distributed fuzzy sets. These sets are named as follows: For the blood sugar level input: low, medium, and high levels represented by L, M, and H
According to the given information, if it is known that the blood sugar level of a diabetic patient is 105 after consuming a carbohydrate-containing food, the rate of change of blood sugar level is 0.3, and the acceleration rate of blood sugar level is 0.002, find the optimal
insulin infusion dose that should be given to the patient by the artificial pancreas
respectively.
For the rate of change of blood sugar level input: negative, zero, and positive rates represented by N, Z, and P respectively.
(NOTE:Solve it step by step,each step will be evaluated separately.
The initial calculated insulin infusion dose includes very low doses (VL) and very high
doses (VH) in addition to L, M, and H
page 2 of the question
page 1
