Optimal Safety-Critical Control of Epidemics
Optimal Safety-Critical Control of Epidemics
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DOI：
10.1109/lcsys.2023.3280116
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发表时间：
2023
影响因子：
3
通讯作者：
Brooks A. Butler;Philip E. Paré
中科院分区：
文献类型：
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作者：
Brooks A. Butler;Philip E. Paré
我们提出了一个广义模型的流行病的过程，分区控制到车厢之间的线性和非线性流速的变化，分别。然后，我们定义了一个最优控制问题，最大限度地减少加权成本的广义模型的速率控制，同时保持条件，保证系统的安全在任何时候使用控制障碍函数。使用这个公式，我们证明了齐次处罚下的最优控制器将始终有利于增加线性流的传染过程中减少非线性流。此外，在异质惩罚的情况下，我们提供了最优控制器将设置非线性速率控制的充分必要条件（即，进入感染过程的流速降低）到零。然后，我们说明了这些结果通过模拟的双病毒SEIQRS模型。
We present a generalized model for epidemic processes that partitions control into changes in linear and non-linear flow rates between compartments, respectively. We then define an optimal control problem that minimizes the weighted cost of rate control on the generalized model while maintaining conditions that guarantee system safety at any time using control barrier functions. Using this formulation, we prove that under homogeneous penalties the optimal controller will always favor increasing the linear flow out of an infectious process over reducing nonlinear flow in. Further, in the case of heterogeneous penalties, we provide necessary and sufficient conditions under which the optimal controller will set control of non-linear rates (i.e., the reduction of flow rate into the infection process) to zero. We then illustrate these results through the simulation of a bi-virus SEIQRS model.