arXiv:2501.14708eess.SYcs.LG2025-01被引 10

用决策导向学习优化空调系统建模,让预测更贴近实际控制效果。

Decision-Focused Learning for Complex System Identification: HVAC Management System Application

  • 在控制优化过程中同步学习系统参数,实现建模与控制一体化。
  • 相比传统方法,决策导向学习使实际能耗误差从6倍降至3%。
  • 适用于控制会改变系统行为的复杂系统,如建筑能源管理。

与传统以最小化统计指标或任务无关损失(如均方误差)为目标的训练方法不同,决策导向学习(DFL)旨在提升下游决策工具的性能。本文提出将DFL用于学习系统动态参数,这些参数作为凸优化控制策略的约束条件,在控制信号优化的同时进行端到端学习。这尤其适用于控制策略实施后系统行为发生变化的情况,此时历史数据的适用性降低。所提方法可同时完成系统识别(即确定分析模型的合适参数)与控制,确保模型精度聚焦于对控制最相关的区域。针对不可导的黑箱系统,设计了仅需测量系统响应的损失函数。通过历史数据预训练和约束松弛策略稳定DFL过程,并处理学习中的潜在不可行性问题。在位于美国丹佛的一座15区真实建筑的空调系统日前管理中验证了该方法的有效性。结果显示,使用监督学习从历史数据获取参数的传统RC建筑模型会显著低估暖通空调电力消耗;在此案例中,事后成本平均是预期值的六倍。而采用DFL获得参数的同一模型,事后成本仅低估3%。

原文摘要 · Abstract (English)

As opposed to conventional training methods tailored to minimize a given statistical metric or task-agnostic loss (e.g., mean squared error), Decision-Focused Learning (DFL) trains machine learning models for optimal performance in downstream decision-making tools. We argue that DFL can be leveraged to learn the parameters of system dynamics, expressed as constraint of the convex optimization control policy, while the system control signal is being optimized, thus creating an end-to-end learning framework. This is particularly relevant for systems in which behavior changes once the control policy is applied, hence rendering historical data less applicable. The proposed approach can perform system identification - i.e., determine appropriate parameters for the system analytical model - and control simultaneously to ensure that the model's accuracy is focused on areas most relevant to control. Furthermore, because black-box systems are non-differentiable, we design a loss function that requires solely to measure the system response. We propose pre-training on historical data and constraint relaxation to stabilize the DFL and deal with potential infeasibilities in learning. We demonstrate the usefulness of the method on a building Heating, Ventilation, and Air Conditioning day-ahead management system for a realistic 15-zone building located in Denver, US. The results show that the conventional RC building model, with the parameters obtained from historical data using supervised learning, underestimates HVAC electrical power consumption. For our case study, the ex-post cost is on average six times higher than the expected one. Meanwhile, the same RC model with parameters obtained via DFL underestimates the ex-post cost only by 3%.

决策学习系统识别空调控制端到端优化

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