Controlling the depth of anesthesia by a novel positive control strategy.
In this paper a positive control law is designed for multi-input positive systems that ensures asymptotic tracking of a desired output reference value. This control law can be viewed as a generalization of another one proposed in the literature for the control of the total mass in SISO compartmental systems, but is suitable for a wider class of positive systems. The controller proposed here is applied to the control of the depth of anesthesia (DoA), by means of the administration of propofol and remifentanil, when using a parameter parsimonious Wiener model recently introduced in the literature. Its performance is illustrated by realistic simulations.
Faculdade de Engenharia da Universidade do Porto, Porto, Portugal; CIDMA - Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Portugal. Electronic address: dma09030@fe.up.pt.
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Nogueira
Faculdade de Ciências da Universidade do Porto, Porto, Portugal; CIDMA - Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Portugal.
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Mendonça
Faculdade de Engenharia da Universidade do Porto, Porto, Portugal; CIDMA - Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Portugal.
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Rocha
D000328:Adult; D000368:Aged; D000465:Algorithms; D000758:Anesthesia / Q000379:methods*; D003198:Computer Simulation; D005260:Female; D006801:Humans; D007260:Infusion Pumps; D008875:Middle Aged; D008962:Models, Theoretical; D016571:Neural Networks, Computer; D010880:Piperidines / Q000008:administration & dosage; D015742:Propofol / Q000008:administration & dosage; D000077208:Remifentanil; D012984:Software; D013997:Time Factors
D010880:Piperidines; D000077208:Remifentanil; D015742:Propofol
Anesthesia; Control; DoA; Positive systems