Hysteresis-based supervisory control with application to non-pharmaceutical containment of COVID-19.

Hysteresis-based supervisory control with application to non-pharmaceutical containment of COVID-19.
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DOI:
10.1016/j.arcontrol.2021.07.001
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发表时间:
2021
影响因子:
9.4
通讯作者:
Stein S
Stein S
中科院分区:
计算机科学2区
文献类型:
--
作者:
Bin M;Crisostomi E;Ferraro P;Murray-Smith R;Parisini T;Shorten R;Stein S

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最近的 COVID-19 爆发促使人们广泛制定非药物干预政策来遏制流行病。虽然全面封锁是一个可行的解决方案,但有趣的政策是那些允许社会在一定程度上正常运作的政策,因为这允许经济活动持续(尽管有所减少),并减轻与长期封锁相关的许多社会问题。最近的研究提供的证据表明,封锁和正常运作日期的快速周期性交替可能有效地在疫情缓解和经济活动之间实现良好的权衡。然而,为了保证所需权衡而在每个期间内分配的正确正常天数是一个高度不确定的数量,无法预先确定,而必须根据测量数据在线调整。反过来,这种适应任务仍然是一个很大程度上悬而未决的问题,也是这项工作的主题。特别是,我们研究了一类基于磁滞逻辑的解决方案。首先,在相当一般的环境中,我们为决策变量的演化提供一般收敛和性能保证。然后,在与流行病控制相关的更具体的背景下,我们得出了一组表征不确定性鲁棒性的结果,并深入了解如何使用有关受控过程的先验知识来微调控制参数。最后,我们通过针对 COVID-19 爆发量身定制的数值模拟来验证结果。
The recent COVID-19 outbreak has motivated an extensive development of non-pharmaceutical intervention policies for epidemics containment. While a total lockdown is a viable solution, interesting policies are those allowing some degree of normal functioning of the society, as this allows a continued, albeit reduced, economic activity and lessens the many societal problems associated with a prolonged lockdown. Recent studies have provided evidence that fast periodic alternation of lockdown and normal-functioning days may effectively lead to a good trade-off between outbreak abatement and economic activity. Nevertheless, the correct number of normal days to allocate within each period in such a way to guarantee the desired trade-off is a highly uncertain quantity that cannot be fixed a priori and that must rather be adapted online from measured data. This adaptation task, in turn, is still a largely open problem, and it is the subject of this work. In particular, we study a class of solutions based on hysteresis logic. First, in a rather general setting, we provide general convergence and performance guarantees on the evolution of the decision variable. Then, in a more specific context relevant for epidemic control, we derive a set of results characterizing robustness with respect to uncertainty and giving insight about how a priori knowledge about the controlled process may be used for fine-tuning the control parameters. Finally, we validate the results through numerical simulations tailored on the COVID-19 outbreak.
通过快速周期性切换减少Covid-19。
DOI: 10.1371/journal.pcbi.1008604
发表时间: 2021-01
影响因子: 4.3
作者:
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影响因子: 3.1
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影响因子: 3.1
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