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Feedback control of social distancing for COVID-19 via elementary formulae

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Abstract

Social distancing has been enacted in order to mitigate the spread of COVID-19. Like many authors, we adopt the classic epidemic SIR model, where the infection rate is the control variable. Its differential flatness property yields elementary closed-form formulae for open-loop social distancing scenarios, where, for instance, the increase of the number of uninfected people may be taken into account. Those formulae might therefore be useful to decision makers. A feedback loop stemming from model-free control leads to a remarkable robustness with respect to severe uncertainties and mismatches. Although an identification procedure is presented, a good knowledge of the recovery rate is not necessary for our control strategy.
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Dates and versions

hal-03547380 , version 1 (28-01-2022)
hal-03547380 , version 2 (03-10-2022)

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Michel Fliess, Cédric Join, Alberto d'Onofrio. Feedback control of social distancing for COVID-19 via elementary formulae. 10th Vienna International Conference on Mathematical Modelling, MATHMOD 2022, Jul 2022, Vienna, Austria. ⟨10.1016/j.ifacol.2022.09.134⟩. ⟨hal-03547380v2⟩
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