T-S模糊模型H∞控制应用于1-型糖尿病人的血糖调节

摘要

Consider the problem of H∞ control of T-S fuzzy systems and its application to blood glucose regulation for type 1 diabetic patients.By constructing a fuzzy Lyapunov function and applying Lyapunov stability theory,a novel approach is proposed to design H∞ state feedback fuzzy controller guaranteeing that the resulting closed-loop system is globally asymptotically stable and has a pre-specified H∞ performance.The designed H∞ state feedback fuzzy controller is applied to Bergman's minimal model for regulating the blood glucose levels of type 1 diabetic patients.An illustrative example is presented to show the effectiveness of theoretical results.%研究T-S模糊模型的H∞控制问题,将其应用于1-型糖尿病人的血糖调节.基于构造模糊Lyapunov函数和应用Lyapunov稳定性理论,提出设计H∞状态反馈模糊控制器的新方法,使得对应闭环系统是全局渐近稳定的,并满足预先指定的H∞性能.将所设计的H∞状态反馈模糊控制器应用到Bergman最小模型,达到调节1-型糖尿病人血糖的目的.实例说明了理论结果的有效性.