A data-driven approach to model calibration for nonlinear dynamical systems

Greve C. M.; Hara K.; Martin R. S.; Eckhardt D. Q.; Koo J. W.

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A data-driven approach to model calibration for nonlinear dynamical systems

机译：非线性动力学系统的数据驱动模型校准方法

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摘要

A data-driven approach to model calibration is developed to accurately obtain the input parameters for nonlinear dynamical systems. The paper focuses on the convergence properties of the proposed method, which play a significant role in understanding the validity and usefulness of any data-driven model. The input parameters of nonlinear dynamical systems are optimized to a reference solution, which can be experimental data or results from a high-fidelity computer simulation, using the Wasserstein metric and a phase-space representation of a set of time-dependent signals. Test cases shown in this paper include the Lorenz system and the discharge plasma of a Hall effect thruster to characterize the numerical uncertainties of the proposed data-driven approach, given a constructed reference solution. Distinct wells in the cost function, the Wasserstein metric, are obtained relative to the reference solution, illustrating the applicability of the proposed method to dynamical problems. The numerical uncertainties associated with the phase-space portrait and sampling time are discussed.

机译：开发了一种数据驱动的模型校准方法，以准确获取非线性动力学系统的输入参数。本文着重于所提出方法的收敛特性，这些特性在理解任何数据驱动模型的有效性和实用性方面起着重要作用。使用Wasserstein度量和一组时变信号的相空间表示，将非线性动力学系统的输入参数优化为参考解决方案，该参考解决方案可以是实验数据，也可以是高保真计算机仿真的结果。本文显示的测试案例包括Lorenz系统和霍尔效应推进器的放电等离子体，以描述所提出的数据驱动方法的数值不确定性，并给出了已构建的参考解决方案。相对于参考解决方案，获得了成本函数Wasserstein度量中的独特井，从而说明了所提出方法在动力学问题上的适用性。讨论了与相空间肖像和采样时间相关的数值不确定性。

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来源
《Journal of Applied Physics》 |2019年第24期|244901.1-244901.15|共15页
作者
Greve C. M.; Hara K.; Martin R. S.; Eckhardt D. Q.; Koo J. W.;
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作者单位

Texas A&M Univ, Dept Aerosp Engn, College Stn, TX 77843 USA;

Texas A&M Univ, Dept Aerosp Engn, College Stn, TX 77843 USA;

Air Force Res Lab, Edwards Afb, CA 93524 USA;

Air Force Res Lab, Edwards Afb, CA 93524 USA;

Air Force Res Lab, Edwards Afb, CA 93524 USA;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);
原文格式 PDF
正文语种 eng
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专利

1. A data-driven approach to model calibration for nonlinear dynamical systems [J] . Greve C. M., Hara K., Martin R. S., Journal of Applied Physics . 2019,第24期

机译：用于非线性动力系统模型校准的数据驱动方法
2. MODELLING ERRORS IN X-RAY FLUOROSCOPIC IMAGING SYSTEMS USING PHOTOGRAMMETRIC BUNDLE ADJUSTMENT WITH A DATA-DRIVEN SELF-CALIBRATION APPROACH [J] . Chow J. C. K., Lichti D. D., Ang K. D., International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences . 2018,第1期

机译：使用数据驱动的自校准方法，通过照相束束调整对X射线荧光成像系统中的误差进行建模
3. Robust Calibration of High Dimension Nonlinear Dynamical Models for Omics Data: An Application in Cancer Systems Biology [J] . Bianconi Fortunato, Antonini Chiara, Tomassoni Lorenzo, IEEE Transactions on Control Systems Technology . 2020,第1期

机译：OMICS数据的高尺寸非线性动力学模型的鲁棒校准：癌症系统生物学的应用
4. A data-driven approach to precise linearization of nonlinear dynamical systems in augmented latent space [C] . H. Harry Asada, Faye Wu, Alexandre Girard, American Control Conference . 2016

机译：一种数据驱动方法，用于增强潜在空间中非线性动力学系统的精确线性化
5. Model-based and Data-driven Algorithms for Diagnostics of Nonlinear Dynamic Systems. [D] . Samadani, Mohsen. 2017

机译：基于模型和数据驱动的非线性动态系统诊断算法。
6. Data-driven Evolution Equation Reconstruction for Parameter-Dependent Nonlinear Dynamical Systems [O] . David W. Sroczynski, Or Yair, Ronen Talmon, -1

机译：参数相关非线性动力学系统的数据驱动演化方程重构
7. MODELLING ERRORS IN X-RAY FLUOROSCOPIC IMAGING SYSTEMS USING PHOTOGRAMMETRIC BUNDLE ADJUSTMENT WITH A DATA-DRIVEN SELF-CALIBRATION APPROACH [O] . J. C. K. Chow, D. D. Lichti, K. D. Ang, 2018

机译：利用数据驱动自校准方法对X射线荧光透视成像系统建模误差

A data-driven approach to model calibration for nonlinear dynamical systems

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