Several Control Methods Based On Mathematical Models Of Type 1 Diabetes

Diabetes has become one of the major diseases that endanger human health.In order to prevent and better control the occurrence of diabetes,this thesis mainly proposes several methods to control diabetes.Based on the data from website and existing literatures,construct a type-1diabetes mathematical model is constructed to control blood glucose concentrations via several control methods and observe whether the human body’s blood glucose concentration level is within the normal range.This paper’s main contents are as follows:Firstly,by studying the existing literature,this thesis establishes a suitable mathematical model of type-1 diabetes.We briefly introduces the physical meaning of variables in each subsystem.Secondly,the blood glucose concentration level is controlled by using the robust gain scheduling method,which makes the blood glucose concentration value to be stable and keep within the normal range.The robust gain scheduling controller is designed by constructing a Lyapunov-Krasovskii functional.Finally,the actual data simulation shows that the method is effective.Thirdly,the problem of observer-based H_∞controller design of type-1 diabetes system is concerned with.First,glucose-insulin dynamics system is modeled as a linear continuous-time system with input constraints and an external disturbance.When the system states are unmeasurable,the existence condition of observer-based H_∞controller is given in the form of Linear matrix inequalities(LMIs)such that the closed-loop system is asymptotically stable,and the H_∞performance index and input constraints are satisfied.By solving LMIs,the observer and controller gains can be obtained simultaneously.Finally,a practical simulation example is given to illustrate the effectiveness of the approach proposed.