糖尿病是一种由于胰岛素分泌功能受损导致的血糖浓度过高的疾病. 利用 胰岛素泵向人体释放胰岛素是一种有效的治疗糖尿病的手段. 针对胰岛素-血糖调节问题, 提出了一种自抗扰控制器设计方法. 首先, 介绍胰岛素-血糖调节的Bergman 最小模型. 其次, 将Bergman最小模型转化为积分器串联型系统并设计自抗扰控制器. 然后, 利用奇异摄动理论分析了闭环系统的有界性和最终有界性. 最后, 通过数值仿真验证提出的自抗扰控制器设计方法的可行性.

Diabetes is a disease characterized by an abnormal high glucose concentration caused by an impaired secretion of the insulin. Using insulin pump to release insulin to human body is an effective method to treat diabetes. An active disturbance rejection controller (ADRC) design method is proposed to solve the problem of insulin-glucose regulation. First, Bergman's minimal model of insulin-glucose regulation is introduced. Second, the Bergman minimum model is transformed into an integrator-cascaded system and an ADRC is designed. Then, the boundedness and ultimate boundedness of the closed-loop system are analyzed by the singular perturbation theory, respectively. Last, the feasibility of the proposed ADRC design method is verified by numerical simulation results.