Robust Sliding Control of SEIR Epidemic Models


Autoria(s): Ibeas Hernández, Asier; De la Sen Parte, Manuel; Alonso Quesada, Santiago
Data(s)

22/03/2016

22/03/2016

2014

Resumo

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.

Identificador

Mathematical Problems in Engineering 2014 : (2014) // Article ID 104764

1024-123X

1563-5147

http://hdl.handle.net/10810/17718

10.1155/2014/104764

Idioma(s)

eng

Publicador

Hindawi Publishing

Relação

http://www.hindawi.com/journals/mpe/2014/104764/abs/

Direitos

© 2014 Asier Ibeas et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

info:eu-repo/semantics/openAccess

Palavras-Chave #global stability #pulse vaccination #time-delay #systems #transmissions #bifurcation
Tipo

info:eu-repo/semantics/article