We pose an engineering challenge of controlling an via coordinated, implementation-light and randomized on/off switching as a problem in . We show that with nonlinear feedback on the cumulative consumption, assumed available to the aggregator via direct physical measurements of the energy flow, allows the ensemble to recover from its use in the regime, i.e. transition to a statistical steady state, significantly faster than in the case of the fixed feedback. Moreover when the nonlinearity is sufficiently strong, one observes the phenomenon of ``super-relaxation" – where the total instantaneous energy consumption of the ensemble transitions to the steady state much faster than the underlying probability distribution of the devices over their state space, while also leaving almost no devices outside of the comfort zone.

中文翻译：

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平均场控制可有效混合能量负载

我们提出了一个工程上的挑战，那就是控制协调过的实现光和随机的开/关切换是一个问题。我们表明，通过累积能量的非线性反馈（假设通过能量流的直接物理测量可用于聚合器），可使集成体从其在方案中的使用中恢复，即过渡到统计稳定状态，其速度明显快于聚合状态。固定反馈的情况。此外，当非线性足够强时​​，人们会观察到“超级松弛”现象-整体的总瞬时能量消耗转换为稳态的速度要比设备在其状态空间上的潜在概率分布快得多，而也几乎没有在舒适区域之外放置任何设备。