Convex Polytopic Modeling of Diabetes Mellitus: A Tensor Product based approach

Kovács, Levente and Eigner, György (2016) Convex Polytopic Modeling of Diabetes Mellitus: A Tensor Product based approach. In: 2016 IEEE International Conference on Systems, Man, and Cybernetics Conference Proceedings. IEEE, Budapest, pp. 3393-3398. ISBN 978-1-5090-1819-2

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Abstract

Tensor Product (TP) transformation based modeling and control can be useful in biomedical engineering, since complex nonlinear control tasks can be handled easier with it. Moreover, the modeling approach can handle the Linear Parameter Varying (LPV) models and produces a tensor based system description, which can be used during Linear Matrix Inequality (LMI) based controller design. The TP property makes the usability of the method beneficial as LMI connected techniques allows using the Lyapunov theorems. The aim of the current work is to demonstrate the usability of TP models in biomedical applications, i.e. diabetes modeling. The core model, the minimal model is investigated and simulation results are presented under Matlab.

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