Approximately 9.3% of people worldwide have diabetes. Diabetes is a
chronic illness that affects countless individuals and has a significant
financial impact on national public health budgets. Defects in insulin
action, secretion, or both might trigger it. A hormone referred to as
insulin aids in regulating metabolism and blood glucose levels. About 6
million diabetics require insulin injection to keep their blood sugar
levels stable. The glucose-insulin system is modeled in this paper as a
nonlinear system with input and state delays. For the glucose-insulin
system, we first provide a control law to reach global asymptotic
stability with a delay in its states. The concept is then expanded to
include an insulin-glucose system with input and state delays. To
control blood glucose and insulin levels, our strategy makes use of the
Lyapunov-Krasovskii theorem and the backstepping technique. Simulating a
closed-loop system has been used to validate the proposed control law.
The presented approach successfully creates global asymptotic stability
for the glucose-insulin system, according to simulation data.