TP Type Polytopic Modelling of the Bergman Minimal Model of the Diabetes Mellitus

Takarics, Béla and Baranyi, Péter Zoltán (2013) TP Type Polytopic Modelling of the Bergman Minimal Model of the Diabetes Mellitus. In: INES 2013 – 17th International Conference on Intelligent Engineering Systems, 2013-06-19 - 2013-06-21, San Jose, Costa Rica.

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Abstract

The paper investigates the possibility of the Tensor Product (TP) type polytopic modelling of the quasi Linear Parameter Varying (qLPV) model formulation of the Bergman minimal model with the aim to fit the model to the modern polytopic and Linear Matrix Inequality (LMI) based control design methodologies. The paper proofs that the Higher Order Singular Value Decomposition (HOSVD) based canonical form as an exact TP type polytopic representation of the Bergman minimal model exist. The paper also determines and evaluates this TP model via TP model transformation. Various convex hulls for the Bergman minimal model were systematically constructed by TP model transformation enabling convex hull manipulation based optimisation in LMI-based control design. © 2013 IEEE.

Item Type: Conference or Workshop Item (-)
Uncontrolled Keywords: Linear matrix inequalities, Mathematical models, control, Computational geometry, Tensor products, Polytopic representations, model transformation, Model formulation, Higher order singular value decomposition, diabetes mellitus, Control design, Canonical form
Subjects: Q Science > QA Mathematics and Computer Science > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány
Divisions: 3D Internet-based Control and Communications Laboratory
Depositing User: EPrints Admin
Date Deposited: 05 Feb 2014 12:33
Last Modified: 05 Feb 2014 15:46
URI: http://eprints.sztaki.hu/id/eprint/7743

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