Robust sliding control of SEIR epidemic models
Ibeas, Asier (Universitat Autònoma de Barcelona. Departament de Telecomunicació i Enginyeria de Sistemes)
De la Sen, Manuel (Universidad del País Vasco. Departamento de Electricidad y Electrónica)
Alonso-Quesada, Santiago (Universidad del País Vasco. Departamento de Electricidad y Electrónica)

Data:	2014
Resum:	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.
Ajuts:	Ministerio de Economía y Competitividad DPI2012-30651
Nota:	Altres ajuts: Universidad del País Vasco (UFI 11/07) i Gobierno Vasco (IE378-10)
Drets:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Matèria:	Adaptive sliding control ; Closed loop properties ; Control-theoretic approach ; Infectious disease ; Parametric uncertainties ; Saturation function ; SEIR epidemic models ; Vaccination strategy
Publicat a:	Mathematical Problems in Engineering, Vol. 2014 (March 2014) , art. 104764, ISSN 1563-5147

DOI: 10.1155/2014/104764

12 p, 2.2 MB

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