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Control of Anesthesia Based on Singularly Perturbed Model

  • Sophie TarbouriechEmail author
  • Isabelle Queinnec
  • Germain Garcia
  • Michel Mazerolles
Chapter
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 471)

Abstract

This chapter deals with the control of anesthesia taking into account the positivity together with the upper limitation constraints of the variables and the target interval tolerated for the depth of anesthesia during a surgery. Due to the presence of multiple time scale dynamics in the anesthesia model, the system is re-expressed through a singularly perturbed system allowing to decouple the fast dynamics from the slow ones. Differently from general approaches for singularly perturbed systems, the control objective is then to control and accelerate the fast subsystem without interest in modifying the slow dynamics. Thus, a structured state feedback control is proposed through quasi-LMI (linear matrix inequalities) conditions. The characterization of domains of stability and invariance for the system is provided. Associated convex optimization issues are then discussed. Finally, the theoretical conditions are evaluated on a simulated patient case.

Keywords

Control of anesthesia BIS Positive constraints Singularly perturbed system State feedback LMI 

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Sophie Tarbouriech
    • 1
    Email author
  • Isabelle Queinnec
    • 1
  • Germain Garcia
    • 1
  • Michel Mazerolles
    • 2
  1. 1.LAAS-CNRS, Université de ToulouseToulouseFrance
  2. 2.Département D’anesthésie-réanimationCHU ToulouseToulouseFrance

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