Maximizing the time of invariance for large collections of switched systems
Maximizing the time of invariance for large collections of switched systems
复制标题
最大化大量交换系统的不变时间
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
N. Ozay
中科院分区：
文献类型：
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作者：
Petter Nilsson;N. Ozay
出于恒温控制负载的聚合系统中的容量分配问题，我们寻求优化不变的时间-调度程序可以保持本地安全约束的最大时间，而不超过聚合容量约束。以前的特征条件时，不变性的时间是无限的，本文重点介绍的情况下，没有调度程序可以满足所有的约束条件。我们推导出一个最佳不变时间的下限，并利用最优控制的思想，提出控制策略与相关的不变时间的下限。我们还分析了最优差距。结果显示在一个10，000维的例子。
Motivated by the problem of capacity allocation in aggregate systems of thermostatically controlled loads, we seek to optimize the time of invariance — the maximal time that a scheduler can maintain local safety constraints without exceeding an aggregate capacity constraint. Having previously characterized conditions when the time of invariance is infinite, this paper focuses on situations when no scheduler can satisfy all constraints indefinitely. We derive a lower bound for the optimal time of invariance, and leverage ideas from optimal control to propose control strategies with associated lower bounds on the resulting times of invariance. We also analyze the optimality gap. The results are illustrated on a 10,000-dimensional example.