Robust control techniques and its graphical representation in case of type I diabetes using mathematica

Levente Kovács, Béla Paláncz, Endre Borbély, Zoltán Benyó, Balázs Benyó

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

3 Citations (Scopus)

Abstract

The case study presents modern robust control methods of the Bergman minimal model [1] of Type I diabetic patients under intensive care using computer algebra: the disturbance rejection LQ control or minimax control (as extension of the classical LQ control) and the robust H control. It is shown the minimax control has limitations in practice, but employing reduced Gröbner basis on rational field, it is possible to approximate the theoretical solution and so getting a better solution than LQ does. The symbolic and numeric computations were carried out with Mathematica 5.2 and with its CSPS Application, as well as with MATLAB 6.5. In case of H control, the graphical method in frequency domain - implemented under Mathematica by [2] - is extended with a disturbance rejection constraint and the robustness of the resulted high-order linear controller is demonstrated by nonlinear closed loop simulation in state-space, in case of standard meal disturbances.

Original languageEnglish
Title of host publicationSAMI 2010 - 8th International Symposium on Applied Machine Intelligence and Informatics, Proceedings
Pages71-75
Number of pages5
DOIs
Publication statusPublished - Apr 30 2010
Event8th International Symposium on Applied Machine Intelligence and Informatics, SAMI 2010 - Herlany, Slovakia
Duration: Jan 28 2010Jan 30 2010

Publication series

NameSAMI 2010 - 8th International Symposium on Applied Machine Intelligence and Informatics, Proceedings

Other

Other8th International Symposium on Applied Machine Intelligence and Informatics, SAMI 2010
CountrySlovakia
CityHerlany
Period1/28/101/30/10

ASJC Scopus subject areas

  • Artificial Intelligence
  • Human-Computer Interaction
  • Information Systems

Fingerprint Dive into the research topics of 'Robust control techniques and its graphical representation in case of type I diabetes using mathematica'. Together they form a unique fingerprint.

  • Cite this

    Kovács, L., Paláncz, B., Borbély, E., Benyó, Z., & Benyó, B. (2010). Robust control techniques and its graphical representation in case of type I diabetes using mathematica. In SAMI 2010 - 8th International Symposium on Applied Machine Intelligence and Informatics, Proceedings (pp. 71-75). [5423765] (SAMI 2010 - 8th International Symposium on Applied Machine Intelligence and Informatics, Proceedings). https://doi.org/10.1109/SAMI.2010.5423765