Kovács Levente
Physiological Controls Research Center, Research and Innovation Center of the Óbuda University, Kiscelli Street 82., Budapest, 1032 Hungary.
Nonlinear Dyn. 2017;89(4):2481-2493. doi: 10.1007/s11071-017-3598-7. Epub 2017 Jun 19.
Modeling and control of diabetes mellitus (DM) are difficult due to the highly nonlinear attitude, time-delay effects, the impulse kind input signals and the lack of continuously available blood glucose (BG) level to be regulated. Regarding the mentioned problems, identification of DM model is crucial. Furthermore, due to the lack of information about the internal states (which cannot be measured in everyday life) and because the BG level is not available in every moment over time, adaptive robust control design method regardless exact model dependency would successfully handle these unfavorable effects without simplifications. The recently developed nonlinear robust fixed point transformation (RFPT)-based controller design method requires only a roughly approximate model in order to realize the controller structure. Moreover, parallel simulated approximate models-in order to provide additional internal information-can be used with the method. In this paper, the usability of the novel RFPT-based technique is demonstrated on the physiological problem of diabetes.
由于糖尿病（DM）具有高度非线性特性、时滞效应、脉冲类输入信号以及缺乏可连续调节的血糖（BG）水平，对其进行建模和控制颇具难度。针对上述问题，糖尿病模型的识别至关重要。此外，由于缺乏关于内部状态的信息（日常生活中无法测量），且血糖水平并非随时可得，不依赖精确模型的自适应鲁棒控制设计方法能够成功应对这些不利影响而无需简化。最近开发的基于非线性鲁棒不动点变换（RFPT）的控制器设计方法仅需一个大致近似的模型即可实现控制器结构。此外，该方法可使用并行模拟近似模型以提供额外的内部信息。本文在糖尿病的生理问题上展示了基于新型RFPT技术的可用性。
