Tensor Product Based Convex Polytopic Modeling of Nonlinear Insulin-Glucose Dynamics

Under the conceptual framework of Cognitive Info communications, a recently published definition of Cognitive Control draws twofold sense characterizing the goals of this branch of systems and control science. On the one hand, Cognitive Control aims to apply the results of control theory to regulate natural or artificial cognitive systems. While on the other hand it points toward the modeling of cognitive processes of different levels utilizing the apparatus of the modern systems theory. Focusing on that view, this paper discusses a systematic way of deriving the convex polytopic qLPV model of nonlinear dynamic processes of the human organism based on the Tensor Product (TP) Model Transformation. To support the idea, a concrete modeling example of Insulin-Glucose Dynamics in intensive insulin therapy is presented.