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Glucose level regulation via integral high-order sliding modes
| 1. | School of Math Sciences, Tel Aviv University, Tel Aviv, Ramat Aviv, 69978, Israel |
References:
| [1] |
R. N. Bergman, S. Phillips and C. Cobelli, Physiologic evaluation of factors controlling glucose tolerance in man, J. Clin. Invest, 68 (1981), 1456-1462.
doi: 10.1172/JCI110398. |
| [2] |
F. Chee, T. L. Fernando and V. V. Heerden, Closed-loop glucose control in critically ill patients using continuous glucose monitoring system(CGMS) in real time, IEEE Trans. Information Technology in Biomedicine, 7 (2003), 419-425. |
| [3] |
L. Dorel, "Transient features of High Order Sliding Modes," Ph.D thesis, Tel Aviv University, 2010. |
| [4] |
A. F. Fillipov, "Differential equations with Discontinuous Right-Hand Sides," Kluwer academic Publishers, Dordrecht, 1988. |
| [5] |
U. Fisher, E. Salzsieder, E. J. Freyse and G. Albrecht, Experimental validation of a glucose-insulin control model to simulate patterns in glucose turnover, Comput. Methods Programs, 7 (1990), 249-258. |
| [6] |
A. Isidori, "Nonlinear Control Systems," Springer Verlag, New York, 1989. |
| [7] |
K. H. Kienitz and T. A. Yoneyama, Robust controller for insulin pumps based on H-Infinity theory, IEEETrans. Inf. Biomed. Eng, 40 (1993), 1133-1137.
doi: 10.1109/10.245631. |
| [8] |
A. Levant, Sliding order and sliding accuracy in sliding mode control, Int. Journal of Control, 58 (1993), 1247-1263.
doi: 10.1080/00207179308923053. |
| [9] |
A. Levant, Higher order sliding modes, differentiation and output-feedback control, Int. Journal of Control, 76 (2003), 924-941. |
| [10] |
A. Levant, Homogeneity approach to high-order sliding mode design, Automatica, 41 (2005), 823-830.
doi: 10.1016/j.automatica.2004.11.029. |
| [11] |
A. Levant and L. Alelishvili, Integral high-order sliding modes, IEEE Trans. Automat. Control, 52 (2007), 1278-1282.
doi: 10.1109/TAC.2007.900830. |
| [12] |
F. Lewis and V. Syrmos, "Optimal Control," 2nd edition, John Wiley, New York, 1995. |
| [13] |
R. S. Parker, F. J. Doyle and N. A. Peppas, A Model-Based algorithm for Blood Glucose Concentration in Type I Diabetic Patients IEEE Trans. Biomed. Eng., 46 (1999), 148-157.
doi: 10.1109/10.740877. |
| [14] |
Y. B. Shtessel and P. Kaveh, Blood glucose regulation using higher-order sliding mode control, Int.J. of Robust and Nonlinear Control, 18 (2008), 557-569.
doi: 10.1002/rnc.1223. |
| [15] |
V. Utkin, "Sliding Modes in Control and Optimization," Springer-Verlag, Germany, 1992. |
show all references
References:
| [1] |
R. N. Bergman, S. Phillips and C. Cobelli, Physiologic evaluation of factors controlling glucose tolerance in man, J. Clin. Invest, 68 (1981), 1456-1462.
doi: 10.1172/JCI110398. |
| [2] |
F. Chee, T. L. Fernando and V. V. Heerden, Closed-loop glucose control in critically ill patients using continuous glucose monitoring system(CGMS) in real time, IEEE Trans. Information Technology in Biomedicine, 7 (2003), 419-425. |
| [3] |
L. Dorel, "Transient features of High Order Sliding Modes," Ph.D thesis, Tel Aviv University, 2010. |
| [4] |
A. F. Fillipov, "Differential equations with Discontinuous Right-Hand Sides," Kluwer academic Publishers, Dordrecht, 1988. |
| [5] |
U. Fisher, E. Salzsieder, E. J. Freyse and G. Albrecht, Experimental validation of a glucose-insulin control model to simulate patterns in glucose turnover, Comput. Methods Programs, 7 (1990), 249-258. |
| [6] |
A. Isidori, "Nonlinear Control Systems," Springer Verlag, New York, 1989. |
| [7] |
K. H. Kienitz and T. A. Yoneyama, Robust controller for insulin pumps based on H-Infinity theory, IEEETrans. Inf. Biomed. Eng, 40 (1993), 1133-1137.
doi: 10.1109/10.245631. |
| [8] |
A. Levant, Sliding order and sliding accuracy in sliding mode control, Int. Journal of Control, 58 (1993), 1247-1263.
doi: 10.1080/00207179308923053. |
| [9] |
A. Levant, Higher order sliding modes, differentiation and output-feedback control, Int. Journal of Control, 76 (2003), 924-941. |
| [10] |
A. Levant, Homogeneity approach to high-order sliding mode design, Automatica, 41 (2005), 823-830.
doi: 10.1016/j.automatica.2004.11.029. |
| [11] |
A. Levant and L. Alelishvili, Integral high-order sliding modes, IEEE Trans. Automat. Control, 52 (2007), 1278-1282.
doi: 10.1109/TAC.2007.900830. |
| [12] |
F. Lewis and V. Syrmos, "Optimal Control," 2nd edition, John Wiley, New York, 1995. |
| [13] |
R. S. Parker, F. J. Doyle and N. A. Peppas, A Model-Based algorithm for Blood Glucose Concentration in Type I Diabetic Patients IEEE Trans. Biomed. Eng., 46 (1999), 148-157.
doi: 10.1109/10.740877. |
| [14] |
Y. B. Shtessel and P. Kaveh, Blood glucose regulation using higher-order sliding mode control, Int.J. of Robust and Nonlinear Control, 18 (2008), 557-569.
doi: 10.1002/rnc.1223. |
| [15] |
V. Utkin, "Sliding Modes in Control and Optimization," Springer-Verlag, Germany, 1992. |
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