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

L. Kovács, Béla Paláncz, Endre Borbély, Z. 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 - 2010
Event8th International Symposium on Applied Machine Intelligence and Informatics, SAMI 2010 - Herlany, Slovakia
Duration: Jan 28 2010Jan 30 2010

Other

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

Fingerprint

Medical problems
Robust control
Disturbance rejection
Robustness (control systems)
Algebra
MATLAB
Controllers

ASJC Scopus subject areas

  • Artificial Intelligence
  • Human-Computer Interaction
  • Information Systems

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] https://doi.org/10.1109/SAMI.2010.5423765

Robust control techniques and its graphical representation in case of type I diabetes using mathematica. / Kovács, L.; Paláncz, Béla; Borbély, Endre; Benyó, Z.; Benyó, Balázs.

SAMI 2010 - 8th International Symposium on Applied Machine Intelligence and Informatics, Proceedings. 2010. p. 71-75 5423765.

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

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., 5423765, pp. 71-75, 8th International Symposium on Applied Machine Intelligence and Informatics, SAMI 2010, Herlany, Slovakia, 1/28/10. https://doi.org/10.1109/SAMI.2010.5423765
Kovács L, Paláncz B, Borbély E, Benyó Z, Benyó B. 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. 2010. p. 71-75. 5423765 https://doi.org/10.1109/SAMI.2010.5423765
Kovács, L. ; Paláncz, Béla ; Borbély, Endre ; Benyó, Z. ; Benyó, Balázs. / Robust control techniques and its graphical representation in case of type I diabetes using mathematica. SAMI 2010 - 8th International Symposium on Applied Machine Intelligence and Informatics, Proceedings. 2010. pp. 71-75
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