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

Bela Takarics, Peter Baranyi

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

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

Publication series

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

Other

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

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