Optimal design of P I ρ D μ " role="presentation"> P I ρ D μ P I ρ D μ PI^\rho D^\mu -controller for artificial ventilation systems for COVID-19 patients

AIMS Mathematics

article

Iqbal M. Batiha¹  Reyad El-Khazali³  Osama Y. Ababneh⁴  Adel Ouannas⁵  Radwan M. Batyha⁶  Shaher Momani² 

[1] Department of Mathematics, Al Zaytoonah University of Jordan;Nonlinear Dynamics Research Center ,(NDRC), Ajman University;EECS Department, Khalifa University;Department of Mathematics, Zarqa University;Department of Mathematics and Computer Science, University of Larbi Ben M'hidi;Department of Computer Science, Faculty of Science and Technology, Irbid National University;Department of Mathematics, Faculty of Science, University of Jordan

关键词: $ PI^\rho D^\mu $-controller;    particle swarm optimization algorithm;    Bacteria Foraging Optimization;    Laplacian operator;   

DOI  :  10.3934/math.2023031

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In light of the COVID-19 pandemic, many patients have suffered from Acute Respiratory Distress Syndrome (ARDS) in Intensive Care Units (ICUs) around the world. In the medical field, it is known that the so-called artificial ventilation device, which has become the mainstay of treatment of such syndrome, decreases mortality in critically ill COVID-19 patients. Due to the high reliability of this device, there is an emergency need to follow up the progress made on designing a robust controller for improving its performance. From this perspective, this work introduces different control design schemes for obtaining an optimal Fractional-order PID controller (or simply $ PI^\rho D^\mu $-controller) of the Artificial Ventilation (AV) system through two optimization algorithms: the Bacteria Foraging Optimization (BFO) and the Particle Swarm Optimization (PSO) algorithms. The realization of the controller is accomplished using four approximations: Oustaloup's approximation, the Continued Fractional Expansion (CFE) approximation and the $ 1^{st} $- and $ 2^{nd} $-order El-Khazali approximations. The validation of the controller design and the AV system behavior are verified via numerical simulation in order to demonstrate the effectiveness and the potency of all proposed schemes.

【 授权许可】

CC BY