An observer-based vaccination control law for an Seir epidemic model based on feedback linearization techniques for nonlinear systems
Alonso-Quesada, Santiago (Universidad del País Vasco. Departamento de Electricidad y Electrónica)
Agarwal, Ravi P. (Texas A&M University-Kingsville. Department of Mathematics)
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)

Data:	2012
Resum:	This paper presents a vaccination strategy for fighting against the propagation of epidemic diseases. The disease propagation is described by an SEIR (susceptible plus infected plus infectious plus removed populations) epidemic model. The model takes into account the total population amounts as a refrain for the illness transmission since its increase makes the contacts among susceptible and infected more difficult. The vaccination strategy is based on a continuous-time nonlinear control law synthesised via an exact feedback input-output linearization approach. An observer is incorporated into the control scheme to provide online estimates for the susceptible and infected populations in the case when their values are not available from online measurement but they are necessary to implement the control law. The vaccination control is generated based on the information provided by the observer. The control objective is to asymptotically eradicate the infection from the population so that the removed-by-immunity population asymptotically tracks the whole one without precise knowledge of the partial populations. The model positivity, the eradication of the infection under feedback vaccination laws and the stability properties as well as the asymptotic convergence of the estimation errors to zero as time tends to infinity are investigated.
Ajuts:	Ministerio de Economía y Competitividad DPI2009-07197 Ministerio de Economía y Competitividad DPI2012-30651
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:	SEIR epidemic models ; Vaccination ; Nonlinear control ; Stability ; Positivity ; Nonlinear observers design
Publicat a:	Advances in difference equations, Vol. 2012 (September 2012) , art. 161, ISSN 1687-1847

DOI: 10.1186/1687-1847-2012-161

32 p, 726.5 KB

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