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葡萄糖-胰岛素非线性分数阶混沌系统模型的提出及最优控制。

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

机构信息

Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Semnan, Iran.

出版信息

Comput Methods Biomech Biomed Engin. 2024 May;27(7):836-848. doi: 10.1080/10255842.2023.2205979. Epub 2023 May 5.

DOI:10.1080/10255842.2023.2205979
PMID:37145154
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.

摘要

最近在优化糖尿病控制方面的进展使得糖尿病患者能够过上更长、更健康、更快乐的生活。在这项研究中,粒子群优化和遗传算法被应用于控制葡萄糖-胰岛素的非线性分数阶混沌系统。讨论了血糖系统增长的混沌行为的分数阶微分方程组。粒子群优化和遗传算法被用于解决所提出的最优控制问题。结果表明,当从一开始就应用控制器时,遗传算法方法的结果是优异的。粒子群优化方法获得的所有结果表明,该方法也非常成功,结果与遗传算法方法非常接近。

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