Application of nonlinear robust sliding mode control on mathematical model for spreading of Covid-19

Open

Dewi Suhika, Roberd Saragih, Dewi Handayani

2024 AIP Conference Proceedings Vol. 3095 Issue 1 Conference paper Cited by 1 Quartile

Abstract

Coronavirus is a collection of viruses that attack the respiratory system. The SEQIJR (Susceptible, Exposed, Quarantined, Infectious not hospital, Hospitalized Infectious, Recovered) model was studied with control in the form of isolation. The weakness of mathematical modeling is the uncertainty of parameters. Adaptive sliding mode control is used to overcome parameter uncertainty, which aims to decrease the sum of infected individuals but not hospitalized by means of a tracking scheme. Furthermore, the Lyapunov approach was used to prove the robustness and stability of the whole system. Adaptive sliding mode control is used to overcome the boundary associated with the parameter uncertainty value. The simulation results show that the use of controls can decrease the spread of Covid-19 by 87.05%. © 2024 Author(s).

Affiliations

Department of Mathematics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jawa Barat, Bandung, 40132, Indonesia; Mathematics Study Program, Institut Teknologi Sumatera, Lampung Selatan, Indonesia