Presentation of the model and optimal control of non-linear fractional-order chaotic system of glucose–insulin

Abstract

Recent advances in optimal diabetes control have made it possible for diabetic patients to live longer, healthier, and happier lives. In this research, particle swarm optimization and genetic algorithm are applied in order to control the non-linear fractional order chaotic system of glucose–insulin optimally. A fractional system of differential equations discussed the chaotic behavior of the growth of the blood glucose system. Particle swarm optimization and genetic algorithm were used to solve the presented optimal control problem. The results showed that when the controller is applied from the beginning, the results of the genetic algorithm method are excellent. All the results obtained for the particle swarm optimization method show that this method is also very successful and the results are very close to the genetic algorithm method.

Keywords:

• Particle swarm optimization
• genetic algorithm
• optimal control
• chaotic system
• glucose insulin

Disclosure Statement

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work report in this article.

Additional information

Funding

The author(s) reported there is no funding associated with the work featured in this article.