Optimal Robust LPV Control Design for Novel Covid-19 Disease

These days almost all the countries around the world are struggling with coronavirus outbreak. This virus made a lot of challenges in almost all aspects of societies including the economy, transportation, education, etc. If the governments and public health care systems donchr(chr('39')39chr('39'))t take any action against this outbreak, it would have severe effects on human life, now and in the future. By doing so, there are several intervention strategies that could be implemented and as the result, the societies become more secure from the casualties of this virus. In this paper, we used a mathematical model of coronavirus epidemic transmission and by use of some LMIs, a robust LPV controller is designed which helps us to choose and use the intervention methods, effectively. The model of a coronavirus contains some uncertainties with some states and parameter values. So, by use of the proposed robust controller, the robustness and stability of the model against a wide range of uncertainties are approved. Then, we compare the results of an uncontrolled system with the controlled system and also the optimal control problem, to observe the effects of our controller on the system. The final objective of this control design is to minimize the number of exposed and infected individuals in the compartmental model. In the end, it can be seen that the control strategies which are preventive action, good medical care, and sterilization of the environment can highly reduce the negative effects of the coronavirus.