"The Drug Administration via Fractional-order PIλ Dδ -Controller" by Reyad El-Khazali, Iqbal M. Batiha et al.

Progress in Fractional Differentiation & Applications

Article Title

The Drug Administration via Fractional-order PIλ Dδ -Controller

Authors

Reyad El-Khazali, ECSE Department, Khalifa University, Abu-Dhabi, UAEFollow
Iqbal M. Batiha, Department of Mathematics, Faculty of Science and Technology, Irbid National University, 2600 Irbid, Jordan\\ Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 346, UAEFollow
Shaher Momani, Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 346, UAE\\ Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, JordanFollow

Author Country (or Countries)

UAE

Abstract

Amiodarone is a commonly used antiarrhythmic drug which may induce pulmonary toxicity. To achieve high quality medical treatment, it is necessary to supervise a well-controlled medical protocol to avoid anomalies in such a drug and in any similar one. This work proposes the use of a fractional-order PIλDδ controllers to maintain a consistent pharmacokinetics for drug administration. The additional fractional-order parameters, 0 < λ , δ ≤ 1, which provide additional features to such controller, are determined using the Particle Swarm Optimization (PSO) algorithm. This is accomplished by approximating s−λ or sδ by 1st- or 2nd-order rational transfer functions to minimize the ITAE, IAE, ISE, and ITSE error functions. The study includes a comparison between Oustaloup’s and El-Khazalis’ approximations to show the effectiveness and the cost of each controller design. All results are verified via numerical simulations.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/080103

Recommended Citation

El-Khazali, Reyad; M. Batiha, Iqbal; and Momani, Shaher (2022) "The Drug Administration via Fractional-order PIλ Dδ -Controller," Progress in Fractional Differentiation & Applications: Vol. 8: Iss. 1, Article 3.
DOI: http://dx.doi.org/10.18576/pfda/080103
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol8/iss1/3

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