Delavari Hadi, Heydarinejad Hamid, Baleanu Dumitru
Department of Electrical Engineering, Hamedan University of Technology, Hamedan 65155, Iran.
Department of Mathematics, Cankya University, Ankara, Turkey.
IET Syst Biol. 2019 Apr;13(2):43-54. doi: 10.1049/iet-syb.2018.5016.
Type I diabetes is described by the destruction of the insulin-producing beta-cells in the pancreas. Hence, exogenous insulin administration is necessary for Type I diabetes patients. In this study, to estimate the states that are not directly available from the Bergman minimal model a high-order sliding mode observer is proposed. Then fractional calculus is combined with sliding mode control (SMC) for blood glucose regulation to create more robustness performance and make more degree of freedom and flexibility for the proposed method. Then an adaptive fractional-order SMC is proposed. The adaptive SMC protect controller against disturbance and uncertainties while the fractional calculus provides robust performance. Numerical simulation verifies that the proposed controllers have better performance in the presence of disturbance and uncertainties without chattering.
I型糖尿病的特征是胰腺中产生胰岛素的β细胞遭到破坏。因此，I型糖尿病患者需要注射外源性胰岛素。在本研究中，为了估计伯格曼最小模型无法直接获得的状态，提出了一种高阶滑模观测器。然后将分数阶微积分与滑模控制（SMC）相结合用于血糖调节，以创造更强的鲁棒性能，并为所提方法提供更大的自由度和灵活性。接着提出了一种自适应分数阶SMC。自适应SMC保护控制器免受干扰和不确定性影响，而分数阶微积分则提供鲁棒性能。数值模拟验证了所提控制器在存在干扰和不确定性的情况下具有更好的性能且无抖振。
