Supervision of the infection in an si (Si-rc) epidemic model by using a test loss function to update the vaccination and treatment controls
De la Sen, Manuel (Universidad del País Vasco. Instituto de Investigación y Desarrollo de Procesos)
Ibeas, Asier (Universitat Autònoma de Barcelona. Departament de Telecomunicació i Enginyeria de Sistemes)
Nistal, Raul (Universidad del País Vasco. Instituto de Investigación y Desarrollo de Procesos)
Alonso-Quesada, Santiago (Universidad del País Vasco. Instituto de Investigación y Desarrollo de Procesos)
Garrido, Aitor (Universidad del País Vasco. Instituto de Investigación y Desarrollo de Procesos)

Data:	2020
Resum:	This paper studies and proposes some supervisory techniques to update the vaccination and control gains through time in a modified SI (susceptible-infectious) epidemic model involving the susceptible and subpopulations. Since the presence of linear feedback controls are admitted, a compensatory recovered (or immune) extra subpopulation is added to the model under zero initial conditions to deal with the recovered subpopulations transferred from the vaccination and antiviral/antibiotic treatment on the susceptible and the infectious, respectively. Therefore, the modified model is referred to as an SI(RC) epidemic model since it integrates the susceptible, infectious and compensatory recovered subpopulations. The defined time-integral supervisory loss function can evaluate weighted losses involving, in general, both the susceptible and the infectious subpopulations. It is admitted, as a valid supervisory loss function, that which involves only either the infectious or the susceptible subpopulations. Its concrete definition involving only the infectious is related to the Shannon information entropy. The supervision problem is basically based on the implementation of a parallel control structure with different potential control gains to be judiciously selected and updated through time. A higher decision level structure of the supervisory scheme updates the appropriate active controller (i. e. , that with the control gain values to be used along the next time window), as well as the switching time instants. In this way, the active controller is that which provides the best associated supervisory loss function along the next inter-switching time interval. Basically, a switching action from one active controller to another one is decided as a better value of the supervisory loss function is detected for distinct controller gain values to the current ones.
Ajuts:	Agencia Estatal de Investigación RTI2018-094336-B-I00 Agencia Estatal de Investigación RTI2018-094902-B-C22 Instituto de Salud Carlos III COV20/01213
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:	Epidemic model ; Transient behavior ; Control gains: feedback ; Supervised control design ; Vaccination and treatment controls
Publicat a:	Applied sciences (Basel), Vol. 10, Issue 20 (October 2020) , art. 7183, ISSN 2076-3417

DOI: 10.3390/app10207183

22 p, 2.6 MB

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