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The Design of a Synergetic Controller for Tuberculosis Epidemic System

Arsit Boonyaprapasorn 1, Thanacha Choopojcharoen 1, Eakkachai Pengwang 1, Suriya Natsupakpong 1, Thavida Maneewarn 1, Parinya Sa-Ngiamsunthorn 2 , and Kaned Thung-od 3
1. King Mongkut’s University of Technology Thonburi, Institute of Field Robotics, Bangkok, Thailand
2. King Mongkut’s University of Technology Thonburi, Faculty of Science, Department of Mathematics, Bangkok, Thailand
3. Mahasarakham University/Mechatronics Research Unit, Mahasarakham, Thailand

Abstract—Eradication of the Tuberculosis (TB) epidemic has been studied in various aspects. Like other epidemic diseases, the TB epidemic system can be represented in the form of a compartmental model which provides the feasibility to apply the feedback control approach for defining the control policy. The application of the synergetic control (SC) with the improvement convergence rate to define the treatment programs for infectious and persistent latent subpopulations for the TB epidemic system, hence, became the main focus of this study. In order to increase the convergence rate, the time varying macro variable was selected. The proof of the TB epidemic system stability under the time varying synergetic control (TVSC) was presented. Then, the demonstration of feasibility and improvement of the convergence rate of the TVSC method ensued. The simulation of the TB epidemic system as manipulated by the TVSC method was carried out. The simulation results were compared to those of the conventional synergetic control (SC) method. Based on the numerical simulation, the control policy corresponding to the TVSC method could track the reference signals satisfying the control objective to minimize the target subpopulations and could improve the convergence rate of the control TB epidemic system. Thus, the TVSC method is an applicable and effective approach to determine control policy for the TB epidemic system. 

Index Terms—tuberculosis, epidemic system, epidemic control, nonlinear feedback control, synergetic control

Cite: Arsit Boonyaprapasorn, Thanacha Choopojcharoen, Eakkachai Pengwang, Suriya Natsupakpong, Thavida Maneewarn, Parinya Sa-Ngiamsunthorn, and Kaned Thung-od, "The Design of a Synergetic Controller for Tuberculosis Epidemic System," International Journal of Mechanical Engineering and Robotics Research, Vol. 9, No. 10, pp. 1439-1446, October 2020. DOI: 10.18178/ijmerr.9.10.1439-1446

Copyright © 2020 by the authors. This is an open access article distributed under the Creative Commons Attribution License (CC BY-NC-ND 4.0), which permits use, distribution and reproduction in any medium, provided that the article is properly cited, the use is non-commercial and no modifications or adaptations are made.