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

Bela Takarics, P. Baranyi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)

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 languageEnglish
Title of host publicationINES 2013 - IEEE 17th International Conference on Intelligent Engineering Systems, Proceedings
Pages73-78
Number of pages6
DOIs
Publication statusPublished - 2013
Event17th IEEE International Conference on Intelligent Engineering Systems, INES 2013 - San Jose, Costa Rica
Duration: Jun 19 2013Jun 21 2013

Other

Other17th IEEE International Conference on Intelligent Engineering Systems, INES 2013
CountryCosta Rica
CitySan Jose
Period6/19/136/21/13

Fingerprint

Medical problems
Tensors
Linear matrix inequalities
Singular value decomposition

ASJC Scopus subject areas

  • Artificial Intelligence
  • Control and Systems Engineering

Cite this

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] https://doi.org/10.1109/INES.2013.6632786

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

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

Research output: Chapter in Book/Report/Conference proceedingConference 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, 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
Takarics B, Baranyi P. 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. 2013. p. 73-78. 6632786 https://doi.org/10.1109/INES.2013.6632786
Takarics, Bela ; Baranyi, P. / TP type polytopic modelling of the Bergman minimal model of the diabetes mellitus. INES 2013 - IEEE 17th International Conference on Intelligent Engineering Systems, Proceedings. 2013. pp. 73-78
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