Progress in Fractional Differentiation & Applications

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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.

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