Iranian Journal of Biomedical Engineering (IJBME)
نشریه علمی مهندسی پزشکی زیستی

Robust Linear Controller Design for Uncertain Malaria Epidemic Model

Document Type : Full Research Paper

Authors

Hamed Hanifi 1
Elham Amini Boroujeni 2

1 M.Sc., Department of Electrical and Computer Engineering, Faculty of Engineering, Kharazmi University, Tehran, Iran

2 Assistant Professor, Department of Electrical and Computer Engineering, Faculty of Engineering, Kharazmi University, Tehran, Iran

https://doi.org/10.22041/ijbme.2024.2026160.1895
Abstract
This paper aims to design a robust linear controller to prevent a malaria epidemic as an ascending system with an uncertain model. The prevalence of malaria is modeled together by seven nonlinear differential equations for population variables: susceptible, susceptible, infected, and improved humans, and susceptible, exposed, and infected mosquitoes. The robust controllers are designed to adjust the use of treated beds properly, the treatment rate of infected people, and the use of insecticide spray to control the malaria epidemic. Accordingly, using the designed control scheme, the number of exposed and infected humans and infected mosquitoes will eventually reach zero. However, the number of susceptible and susceptible mosquitoes is increasing due to the birth rate and the loss of malaria immunity in the improved population. This article describes the methods (H2, H∞-ric, H∞-lmi, H2-H∞, μD-K, μD-G-K). We have tried to control this disease's prevalence despite the system's uncertainty. Finally, the results of the reduced-order controllers are evaluated and compared, and the best-designed controller is compared with one of the recent research on this subject. The results are shown in the simulation section.

Keywords

Malaria
Epidemiological
Robust Control
Uncertain Model
Decrease Rank

Subjects

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Iranian Journal of Biomedical Engineering (IJBME)
Volume 17, Issue 4
Winter 2024
Pages 315-329

  • Receive Date 07 April 2024
  • Revise Date 23 August 2024
  • Accept Date 05 October 2024

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