A Delay-dependent Glucose Control Approach for Type-1 Diabetes via Takagi-Sugeno Fuzzy Models

This paper deals with the problem of designing glucose controller for type-1 diabetes while considering the time-delay of insulin action. For controller design, the nonlinear dynamics of type-1 diabetes are exactly represented by Takagi-Sugeno (T-S) fuzzy models. With a delay-dependent Lyapunov-Krasovskii functional, a linear matrix inequalities (LMIs) based design method is proposed which can be easily solved by convex optimization techniques. Simulation example is given to verify the validity and applicability of the proposed approach.