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Non-integer Order PI α D μ Control ICU-MM

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 257))

Abstract

The article presents dynamical system model that describes glycemia. It is based on four differential equations that simulates glucose dynamics of traumatised patient’s blood (at ICU). Authors present description of basic model and method of tuning PI α D μ controller parameters based on the integrated absolute error as the performance index.

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References

  1. Baranowski, J., Bauer, W., Pluciennik, P.: Phyton based simulator of ICU patient hyperglycemia. Bio-Algorithms and Med-Systems 7(4), 89–94

    Google Scholar 

  2. Bauer, W., Pluciennik, P.: Stabilizacja glikemii pacjentów OIOM przy użyciu regulatora LQ. PAR 4, 76–80 (2011)

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  3. Bauer, W., Pluciennik, P., Baranowski, J., Mitkowski, W.: LQ based glucose stabilisation for intensive care unit patients. In: CMS 2009: Computer Methods and Systems: 7th Conference, Krakow, Poland, November 26-27, pp. 307–312 (2009)

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  4. Bertsimas, D., Tsitsiklis, J.: Simulated Annealing. Statistical Science. Report from the Committee on Applied and Theoretical Statistics of the National Research Council on Probability and Algorithms 8(1), 10–15 (1993)

    Google Scholar 

  5. Concepción, A.M., YangQuan, C., Blas, M.V., Dingyü, X., Vicente, F.: Fractional-Order Systems and Controls: Fundamentals and Applications Advances in Industrial Control. Springer (2010)

    Google Scholar 

  6. Van Herpe, T., Espinoza, M., Haverbeke, N., De Moor, B., Van den Berghe, G.: Glycemia prediction in critically ill patients using an adaptive modeling approach. J. Diabetes. Sci. Technol. 3, 348–356 (2007)

    Google Scholar 

  7. Podlubny, I.: Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications. Acad. Press (1999)

    Google Scholar 

  8. Ingber, L.: Simulated annealing: Practice versus theory. J. Mathl. Comput. Modelling 3, 29–57 (1993)

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Correspondence to Waldemar Bauer .

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Bauer, W., Baranowski, J., Mitowski, W. (2013). Non-integer Order PI α D μ Control ICU-MM. In: Mitkowski, W., Kacprzyk, J., Baranowski, J. (eds) Advances in the Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol 257. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00933-9_27

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  • DOI: https://doi.org/10.1007/978-3-319-00933-9_27

  • Publisher Name: Springer, Heidelberg

  • Print ISBN: 978-3-319-00932-2

  • Online ISBN: 978-3-319-00933-9

  • eBook Packages: EngineeringEngineering (R0)

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