arXiv:2506.18344eess.SYcs.LG2025-06被引 6

提出分步识别动态混合模型方法,提升化工系统建模效率与可靠性。

Dynamic Hybrid Modeling: Incremental Identification and Model Predictive Control

  • 分步解耦机理与数据驱动部分,降低建模复杂度。
  • 三组案例验证方法在小样本下仍具鲁棒性与高效性。
  • 适合需快速迭代的化工过程优化与控制研究者使用。

数学模型对优化和控制化工过程至关重要,但常受限于计算时间、算法复杂度和开发成本。混合模型结合机理模型与数据驱动模型(即通过机器学习处理实验数据所得模型)成为解决该问题的有前景方案。然而,动态混合模型的识别因需将数据驱动模型嵌入机理结构而困难重重。本文提出一种增量式识别方法,通过解耦机理与数据驱动组件,克服计算与概念难题。方法包含四步:(1) 正则化动态参数估计,确定通量变量最优时间轨迹;(2) 相关性分析评估变量间关系;(3) 采用先进机器学习技术进行数据驱动模型识别;(4) 混合模型集成,融合两类组件。该方法支持早期评估模型结构适用性,加速混合模型开发,并实现数据驱动部分独立识别。三个案例研究展示其在复杂系统及数据有限场景下的鲁棒性、可靠性和高效性。

原文摘要 · Abstract (English)

Mathematical models are crucial for optimizing and controlling chemical processes, yet they often face significant limitations in terms of computational time, algorithm complexity, and development costs. Hybrid models, which combine mechanistic models with data-driven models (i.e. models derived via the application of machine learning to experimental data), have emerged as a promising solution to these challenges. However, the identification of dynamic hybrid models remains difficult due to the need to integrate data-driven models within mechanistic model structures. We present an incremental identification approach for dynamic hybrid models that decouples the mechanistic and data-driven components to overcome computational and conceptual difficulties. Our methodology comprises four key steps: (1) regularized dynamic parameter estimation to determine optimal time profiles for flux variables, (2) correlation analysis to evaluate relationships between variables, (3) data-driven model identification using advanced machine learning techniques, and (4) hybrid model integration to combine the mechanistic and data-driven components. This approach facilitates early evaluation of model structure suitability, accelerates the development of hybrid models, and allows for independent identification of data-driven components. Three case studies are presented to illustrate the robustness, reliability, and efficiency of our incremental approach in handling complex systems and scenarios with limited data.

混合建模动态系统机理模型机器学习

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。