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Robust IMC-PID and Parameter-varying Control Strategies for Automated Blood Pressure Regulation
Shahin Tasoujian,Saeed Salavati,Matthew Franchek,Karolos Grigoriadis 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.7
The present work focuses on comparing a robust and a parameter-varying control design approach forautomatically regulating blood pressure in critical hypotensive patients using vasopressor drug infusion. Meanarterial pressure (MAP) response of a patient subject to vasoactive drugs is modeled by a first-order dynamicalsystem with time-varying parameters and a time-varying delay in the control input which limits the implementationof conventional control techniques. Two methods are examined to address the variability and the time-varying delayof the physiological response to the drug. First, a Padé approximation is used to transform the infinite-dimensionaldelay problem into a finite-dimensional model represented in the form of a non-minimum phase (NMP) system. Asystematic parameter-varying loop-shaping control is proposed to provide the closed-loop system with stability andtracking performance in the presence of measurement noise and disturbances. Second, an internal model control(IMC) strategy is examined to design a fixed proportional-integral-derivative (PID) controller cascaded with a lagcompensator by considering the time-varying model to be a perturbed uncertain system. To account for systemuncertainty, the small-gain theorem is employed by which robust stability conditions are investigated. The proposedcontrol methods are applied to critical hypotensive patient resuscitation to regulate MAP while considering thelimitations posed by the time-varying parameters of the physiological response model and the large time-varyingdelay. Simulation results are provided and compared to evaluate the performance of the proposed control actionsunder various hypotensive scenarios.