Positive Interval Observer-based State Feedback Controller for Uncertain General Anaesthesia System

Jing Jing Chang, S. Syafiie


The drug delivery process of general anaesthesia in the human body is most commonly described by the Pharmacokinetic/Pharmacodynamic (PK/PD) model. Since the PK model is a positive linear system, the design of the controller can be treated as a positive stabilization problem. In this paper, a state feedback controller with positive interval observer was designed using a linear programming approach by taking into account the inter-individual variability among patient in the PK model. The designed controller was assessed by simulation on a pool of patients. The result shows that the design of a fix controller for the whole population is difficult due to the conflict between performance and robustness.


Depth of anaesthesia; Positive linear system; Positive observer; Inter-individual variability; Output feedback control

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DOI: http://doi.org/10.11591/ijeecs.v10.i3.pp1000-1006


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