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Robust and self-tuning blood flow control during extracorporeal circulation in the presence of system parameter uncertainties

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Abstract

Three different discrete controllers were designed and tuned to be used in conjunction with a rotary blood pump during cardiopulmonary heart-lung support. The controllers were designed to operate in both steady and pulsatile modes. The system and methods were tested in a circulatory haemodynamic simulator. To guarantee stable control of the non-linear circulatory system in the presence of patient parameter uncertainties, a proportional plus integral (PI) and an H∞ controller were robustly tuned, using a non-linear time-varying model. (H∞ refers to the Hardy space, the set of bounded functions, analytic in the right half plane. The H∞ controler is the solution to the H∞ norm optimisation problem.) A self-tuning general predictive controller (GPC), together with an adaptive Kalman filter (KF) estimator, was compared with the two robustly tuned controllers. The closed-loop blood flow control circuit was set up in simulation routines first. The blood flow controllers were validated in a circulatory hydrodynamic simulator (MOCK) combined with a rotary blood pump. Parameters of the system simulator were changed continuously, and the controllers were tested over a wide range of different operating points. Disturbances in the form of discontinuous additive parameter uncertainties were applied. The closed-loop systems remained robustly stable. The robustly tuned H∞ controller showed the best control performance, in contrast to the GPC controller, which was near instability in regions of strongly varying non-linear system gain. Compared with the H∞ controller, the PI controller showed slightly worse behaviour, but the closed-loop response was acceptable, even in regions of strongly varying non-linear system gain and during pulsatile perfusion. The rotary blood pump could provide stationary and pulsatile perfusion under control conditions. Controlled variables were hereby mean blood flow, pulsatility index and heart rate. All three controllers were developed for an arterial mean flow of 0–6 l min−1 and a heart rate of up to 70 beats per minute. Pulsatile closed-loop perfusion could provide up to 30 mmHg pressure variation in the simulated ascending aorta at a mean flow of 3l min−1.

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Authors and Affiliations

  1. Department of Biomedical Engineering, School of Medicine, Ruhr-University, Bochum, Germany

    B. J. E. Misgeld, J. Werner & M. Hexamer

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  1. B. J. E. Misgeld
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  2. J. Werner
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  3. M. Hexamer
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Correspondence to B. J. E. Misgeld.

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Misgeld, B.J.E., Werner, J. & Hexamer, M. Robust and self-tuning blood flow control during extracorporeal circulation in the presence of system parameter uncertainties. Med. Biol. Eng. Comput. 43, 589–598 (2005). https://doi.org/10.1007/BF02351032

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  • DOI: https://doi.org/10.1007/BF02351032

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