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Maintaining blood glucose concentration within a normal range is very important to diabetic patients. Many control algorithms, including the PID method, have been proposed to restore normal glucose tolerance via closed-loop insulin regulation. This paper analyzes the physiologically plausible glucose feedback control system involving the islets-based controller and the nonlinear pharmacokinetic model...
We focused on a new direction of fuzzy control that, we believe, has received little, if any, attention. We explored how the look-up table (LUT) controllers and one special type of Mamdani fuzzy controllers were mathematically related and how to represent the former by the latter. A LUT controller is one of the most widely used tools in industry, especially in automotive engineering. The reasons for...
We study how the components of a general class of Mamdani fuzzy controllers dictate the controller's input-output relationship. The controllers can use input fuzzy sets of any types, arbitrary fuzzy rules, arbitrary inference methods, either Zadeh or the product fuzzy logic AND operator, singleton output fuzzy sets, and the centroid defuzzifier. We theoretically prove that regardless of the choices...
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