Nonlinear control analysis of an ICU model for tight glycaemic control

Levente Kovács, Péter Szalay, Balázs Benyó, J. Geoffrey Chase

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

1 Citation (Scopus)

Abstract

Intensive care is one of the most challenging areas of modern medicine. Maintenance of glucose levels in intensive care unit (ICU) patients via control of insulin inputs is an active research field. Accurate metabolic system models are a critical element of automatic control. Different ICU models appeared in the literature some of them already validated in clinical trials. The current paper analyzes and gives a nonlinear synthesis of a frequently used ICU metabolic system model's redefined version. The model has been already validated in clinical trials. Global control characteristics are determined using nonlinear analysis. Results of reachability and observability are explained regarding physiological meanings, and then exact linearization is computed. Finally, quasi affine linear parameter varying (qALPV) modeling methodology is applied and compared with results obtained by exact linearization. It is demonstrated that inside the chosen scheduling parameters' vertex the qAPLV model represents the nonlinear system itself without any approximation. Conclusions are drawn from this analysis for further robust nonlinear model based controller design.

Original languageEnglish
Title of host publicationProceedings of the 18th IFAC World Congress
PublisherIFAC Secretariat
Pages1739-1744
Number of pages6
Edition1 PART 1
ISBN (Print)9783902661937
DOIs
Publication statusPublished - 2011

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
Volume44
ISSN (Print)1474-6670

Keywords

  • Exact linearization
  • Intensive Care Unit
  • Nonlinear analysis
  • QALPV
  • Scheduling parameter
  • Tight glycaemic control

ASJC Scopus subject areas

  • Control and Systems Engineering

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  • Cite this

    Kovács, L., Szalay, P., Benyó, B., & Chase, J. G. (2011). Nonlinear control analysis of an ICU model for tight glycaemic control. In Proceedings of the 18th IFAC World Congress (1 PART 1 ed., pp. 1739-1744). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 44, No. 1 PART 1). IFAC Secretariat. https://doi.org/10.3182/20110828-6-IT-1002.02031