Robust Sliding Control of SEIR Epidemic Models

Asier Ibeas, Manuel de la Sen and Santiago Alonso-Quesada

Mathematical Problems in Engineering, 2014, vol. 2014, 1-11

Abstract:

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 a priori knowledge on the system.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:104764

DOI: 10.1155/2014/104764

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