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Covid-19 and Flattening the Curve a Feedback Control Perspective

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Document pages: 6 pages

Abstract: Many of the control policies that were put into place during the Covid-19pandemic had a common goal: to flatten the curve of the number of infectedpeople so that its peak remains under a critical threshold. This letterconsiders the challenge of engineering a strategy that enforces such a goalusing control theory. We introduce a simple formulation of the optimalflattening problem, and provide a closed form solution.This is augmentedthrough nonlinear closed loop tracking of the nominal solution, with the aim ofensuring close-to-optimal performance under uncertain conditions. A keycontribution ofthis paper is to provide validation of the method with extensiveand realistic simulations in a Covid-19 scenario, with particular focus on thecase of Codogno - a small city in Northern Italy that has been among the mostharshly hit by the pandemic.

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