Robust sliding control of SEIR epidemic models
type: Item
instance of: scholarly article
title: Robust sliding control of SEIR epidemic models
zbMATH Open document ID: 1407.92127
DOI: 10.1155/2014/104764
author: A. Ibeas
author: M. De la Sen
author: S. Alonso-Quesada
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper is aimed at designing a robust vaccination strategy capable of eradicating an infectious disease from a population regardless of the potential uncertainty in the parameters defining the disease. For this purpose, a control theoretic approach based on a sliding-mode control law is used. Initially, the controller is designed assuming certain knowledge of an upper-bound of the uncertainty signal. Afterwards, this condition is removed while an adaptive sliding control system is designed. The closed-loop properties are proved mathematically in the nonadaptive and adaptive cases. Furthermore, the usual sign function appearing in the sliding-mode control is substituted by the saturation function in order to prevent chattering. In addition, the properties achieved by the closed-loop system under this variation are also stated and proved analytically. The closed-loop system is able to attain the control objective regardless of the parametric uncertainties of the model and the lack of \textit{a priori} knowledge on the system.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 93B12
zbMATH DE Number: 7015713
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/104764
OpenAlex ID: W2005042587
Wikidata QID: Q57674932
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description: scientific article; zbMATH DE number 7015713