Epidemiological Control of COVID-19 Through the Theory of Variable Structure and Sliding Mode Systems

被引：4

作者：

Lopes Santos, Debora Marques ^{[1
]}

Pereira Rodrigues, Victor Hugo ^{[2
]}

Oliveira, Tiago Roux ^{[1
]}

机构：

[1] Univ Estado Rio De Janeiro, Dept Elect & Telecommun Engn DETEL PEL, Rio De Janeiro, RJ, Brazil

[2] Univ Fed Rio de Janeiro, Dept Elect Engn PEE COPPE, Rio De Janeiro, RJ, Brazil

来源：

JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS | 2022年 / 33卷 / 01期

关键词：

COVID-19; Epidemiological dynamics; Variable-structure systems; Sliding mode control; Output feedback;

D O I：

10.1007/s40313-021-00826-6

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper proposes a new mathematical model called SIRDQ considering control laws for the government actions in order to reduce the quarantine periods. The proposed control laws guarantee the regulation of the effective number of reproduction to a desired value, which is directly related to the propagation of the epidemic model. We consider two control strategies based on first-order sliding mode and super-twisting algorithm due to its robustness with respect to parametric uncertainties and disturbances, as found in epidemiological models. The stability analysis of the closed-loop system is rigorously presented. Simulations show that the employed control strategies assure better levels of isolation to be adopted.

引用

页码：63 / 77

页数：15

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