Multi-objective T-S fuzzy control of Covid-19 spread model: An LMI approach

Reza Najarzadeh; Mohammad Hassan Asemani; Maryam Dehghani; Mokhtar Shasadeghi

doi:10.1016/j.bspc.2022.104107

Multi-objective T-S fuzzy control of Covid-19 spread model: An LMI approach

Biomed Signal Process Control. 2023 Jan:79:104107. doi: 10.1016/j.bspc.2022.104107. Epub 2022 Aug 18.

Authors

Reza Najarzadeh¹, Mohammad Hassan Asemani¹, Maryam Dehghani¹, Mokhtar Shasadeghi²

Affiliations

¹ School of Electrical and Computer Engineering, Shiraz University, Shiraz, Iran.
² Department of Electrical and Electronics Engineering, Shiraz University of Technology, Shiraz, Iran.

Abstract

Due to the importance of control actions in spreading coronavirus disease, this paper is devoted to first modeling and then proposing an appropriate controller for this model. In the modeling procedure, we used a nonlinear mathematical model for the covid-19 outbreak to form a T-S fuzzy model. Then, for proposing the suitable controller, multiple optimization techniques including Linear Quadratic Regulator (LQR) and mixed $H_{2} - H_{\infty}$ are taken into account. The mentioned controller is chosen because the model of corona-virus spread is not only full of disturbances like a sudden increase in infected people, but also noises such as unavailability of the exact number of each compartment. The controller is simulated accordingly to validate the results of mathematical calculations, and a comparative analysis is presented to investigate the different situations of the problem. Comparing the results of controlled and uncontrolled situations, it can be observed that we can tackle the devastating hazards of the covid-19 outbreak effectively if the suggested approaches and policies of controlling interventions are executed, appropriately.

Keywords: Covid 19 model; Linear matrix inequalities (LMIs); Multi objective controller; Robust T-S fuzzy controller.