Designing a sliding mode controller for a class of multi-controller Covid-19 disease model

Articles in Press

Document Type : Research Article

Authors

• Morteza Gholami ¹
• Seyed Mehdi Mirhosseini-Alizamini ²
• Aghileh Heydari ¹

¹ Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran.

² Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-3697, Tehran, Iran.

10.22067/ijnao.2024.85859.1355

Abstract

The recent outbreak of the Covid-19 disease has just appeared at the end of 2019‎ ‎and has now become a global pandemic‎. ‎Analysis of mathematical models in the prediction and control of this pandemic helps to make the right decisions about vaccination‎، ‎quarantine and other control measures‎. In this article‎, ‎the aim is to analyze and review the three control measures of educational campaigns‎, ‎social distancing, and treatment control‎, ‎that these control measures can reduce the spread of this disease‎. For this purpose‎, ‎due to the uncertainty in the model parameters‎, ‎a sliding mode control law is used‎. ‎Further‎, ‎because the model parameters are changing and the upper limit of the parameters that have uncertainty should be known‎. ‎Then an adaptive control is used to estimate the switching gain online‎. In addition‎, ‎in order to prevent the chattering phenomenon‎, ‎the sign function is used in the sliding control law‎. Also‎, ‎the obtained properties are expressed and proven analytically‎. Therefore‎, ‎initially‎, ‎the controller is designed with uncertainty in mind‎. ‎After that‎, ‎the parameters that have uncertainty in the simulation are obtained by online estimation of the adaptive control‎. The efficiency and performance of the controller in the absence of the certainty of the model parameters is investigated‎, ‎and the results show the desired performance of this controller‎. ‎Finally‎, ‎the performance and efficiency of the controller are evaluated by simulation‎.

Keywords

• COVID-19
• Sliding mode control
• Uncertainty
• Mathematical model
• Social distancing

Main Subjects

• Control and Optimization

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