TP type polytopic modelling of the Bergman minimal model of the diabetes mellitus

Bela Takarics; Peter Baranyi

doi:10.1109/INES.2013.6632786

TP type polytopic modelling of the Bergman minimal model of the diabetes mellitus

Bela Takarics, Peter Baranyi

College of Science & Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

12 Scopus citations

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.

Original language	English (US)
Title of host publication	INES 2013 - IEEE 17th International Conference on Intelligent Engineering Systems, Proceedings
Pages	73-78
Number of pages	6
DOIs	https://doi.org/10.1109/INES.2013.6632786
State	Published - 2013
Event	17th IEEE International Conference on Intelligent Engineering Systems, INES 2013 - San Jose, Costa Rica Duration: Jun 19 2013 → Jun 21 2013

Publication series

Name	INES 2013 - IEEE 17th International Conference on Intelligent Engineering Systems, Proceedings

Other

Other	17th IEEE International Conference on Intelligent Engineering Systems, INES 2013
Country/Territory	Costa Rica
City	San Jose
Period	6/19/13 → 6/21/13

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This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1109/INES.2013.6632786

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Takarics, B., & Baranyi, P. (2013). TP type polytopic modelling of the Bergman minimal model of the diabetes mellitus. In INES 2013 - IEEE 17th International Conference on Intelligent Engineering Systems, Proceedings (pp. 73-78). [6632786] (INES 2013 - IEEE 17th International Conference on Intelligent Engineering Systems, Proceedings). https://doi.org/10.1109/INES.2013.6632786

TP type polytopic modelling of the Bergman minimal model of the diabetes mellitus. / Takarics, Bela; Baranyi, Peter.

INES 2013 - IEEE 17th International Conference on Intelligent Engineering Systems, Proceedings. 2013. p. 73-78 6632786 (INES 2013 - IEEE 17th International Conference on Intelligent Engineering Systems, Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Takarics, B & Baranyi, P 2013, TP type polytopic modelling of the Bergman minimal model of the diabetes mellitus. in INES 2013 - IEEE 17th International Conference on Intelligent Engineering Systems, Proceedings., 6632786, INES 2013 - IEEE 17th International Conference on Intelligent Engineering Systems, Proceedings, pp. 73-78, 17th IEEE International Conference on Intelligent Engineering Systems, INES 2013, San Jose, Costa Rica, 6/19/13. https://doi.org/10.1109/INES.2013.6632786

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TP type polytopic modelling of the Bergman minimal model of the diabetes mellitus

Abstract

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