hal-03547380
https://polytechnique.hal.science/hal-03547380
https://polytechnique.hal.science/hal-03547380v1/document
https://polytechnique.hal.science/hal-03547380v1/file/CovidMATHMOD22.pdf
arxiv:2110.01712v2
Feedback control of social distancing for COVID-19 via elementary formulae
Fliess, Michel
Join, Cédric
d'Onofrio, Alberto
[SDV.SPEE] Life Sciences [q-bio]/Santé publique et épidémiologie
[INFO.INFO-AU] Computer Science [cs]/Automatic Control Engineering
[INFO.INFO-SY] Computer Science [cs]/Systems and Control [cs.SY]
[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]
COMM
Biomedical control
COVID-19
social distancing
SIR model
flatness-based control
model-free control
robustness
identifiability
algebraic differentiator
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.
2022-07-27
2022-01-28
en
10th Vienna International Conference on Mathematical Modelling, MATHMOD 2022
Vienna, Austria