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

Iranian Journal of Numerical Analysis and Optimization

مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 08 تیر 1403

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2024.85859.1355

نویسندگان

Morteza Gholami¹؛ Seyed Mehdi Mirhosseini-Alizamini^{* 2}؛ Aghileh Heydari¹

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

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

چکیده

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.

کلیدواژه‌ها

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