A Digital Twin approach based on nonparametric Bayesian network for complex system health monitoring

Abstract This paper proposes a Digital Twin approach for health monitoring. In this approach, a Digital Twin model based on nonparametric Bayesian network is constructed to denote the dynamic degradation process of health state and the propagation of epistemic uncertainty. Then, a real-time model updating strategy based on improved Gaussian particle filter (GPF) and Dirichlet process mixture model (DPMM) is presented to enhance the model adaptability. On one hand, for those parameters in the nonparametric Bayesian network with prior models, the improved GPF is used to update them in real time. On the other hand, for parameters lacking a prior model, DPMM is proposed to learn hidden variables, which adaptively update the model structure and greatly reduce uncertainty. Experiments on the electro-optical system are conducted to validate the feasibility of the Digital Twin approach and verify the effectiveness of the nonparametric Bayesian network. The results of comparative experiments prove that the Digital Twin approach based on nonparametric Bayesian Network has a good model self-learning ability, which improves the accuracy of health monitoring.

[1]  Marco Macchi,et al.  MES-integrated digital twin frameworks , 2020 .

[2]  Sankaran Mahadevan,et al.  Dynamic Bayesian Network for Aircraft Wing Health Monitoring Digital Twin , 2017 .

[3]  S. Michael Spottswood,et al.  Reengineering Aircraft Structural Life Prediction Using a Digital Twin , 2011 .

[4]  Kevin I-Kai Wang,et al.  Digital Twin-driven smart manufacturing: Connotation, reference model, applications and research issues , 2020, Robotics Comput. Integr. Manuf..

[5]  Xuejun Li,et al.  Three-Dimensional Temperature Field Numerical Simulation of Twin-Arc High-Speed Submerged Arc Welding Process Based on ANSYS , 2011 .

[6]  S. Roques,et al.  Modulation transfer function estimation from nonspecific images , 2004 .

[7]  Andrew Y. C. Nee,et al.  Digital twin driven prognostics and health management for complex equipment , 2018 .

[8]  Walter R. Lawson,et al.  Night Vision Laboratory Static Performance Model for Thermal Viewing Systems , 1975 .

[9]  Carlos Eduardo Pereira,et al.  Digital Twin Data Modeling with AutomationML and a Communication Methodology for Data Exchange , 2016 .

[10]  C. Robert Kenley,et al.  Reference architectures for smart manufacturing: A critical review , 2018, Journal of Manufacturing Systems.

[11]  Heikki Handroos,et al.  Faster than real-time simulation of mobile crane dynamics using digital twin concept , 2018, Journal of Physics: Conference Series.

[12]  Eric J. Tuegel,et al.  The Airframe Digital Twin: Some Challenges to Realization , 2012 .

[13]  Mikkel N. Schmidt,et al.  Nonparametric Bayesian modeling of complex networks: an introduction , 2013, IEEE Signal Processing Magazine.

[14]  Jay Lee,et al.  A Cyber-Physical Systems architecture for Industry 4.0-based manufacturing systems , 2015 .

[15]  Donghua Zhou,et al.  Remaining useful life estimation - A review on the statistical data driven approaches , 2011, Eur. J. Oper. Res..

[16]  Michael I. Jordan,et al.  Nonparametric empirical Bayes for the Dirichlet process mixture model , 2006, Stat. Comput..

[17]  Mohammad Modarres,et al.  Damage monitoring and prognostics in composites via dynamic Bayesian networks , 2017, 2017 Annual Reliability and Maintainability Symposium (RAMS).

[18]  Maja Harfman Todorovic,et al.  Design and Testing of a Modular SiC based Power Block , 2016 .

[19]  Marco Macchi,et al.  A review on the characteristics of cyber-physical systems for the future smart factories , 2020, Journal of Manufacturing Systems.

[20]  Sandro Wartzack,et al.  Shaping the digital twin for design and production engineering , 2017 .

[21]  Morten Mørup,et al.  Nonparametric Bayesian modeling of complex networks: an introduction , 2013, IEEE Signal Processing Magazine.

[22]  Kenneth Reifsnider,et al.  Multiphysics Stimulated Simulation Digital Twin Methods for Fleet Management , 2013 .

[23]  Edward H. Glaessgen,et al.  The Digital Twin Paradigm for Future NASA and U.S. Air Force Vehicles , 2012 .

[24]  Fei Tao,et al.  Digital Twin and Big Data Towards Smart Manufacturing and Industry 4.0: 360 Degree Comparison , 2018, IEEE Access.

[25]  Andrew J. Zakrajsek,et al.  The Development and use of a Digital Twin Model for Tire Touchdown Health Monitoring , 2017 .

[26]  Costas J. Spanos,et al.  A Digital Twin Approach for Fault Diagnosis in Distributed Photovoltaic Systems , 2020, IEEE Transactions on Power Electronics.

[27]  Lee Johnson,et al.  A Simulation-Based Digital Twin for Model-Driven Health Monitoring and Predictive Maintenance of an Automotive Braking System , 2017, Modelica.

[28]  Abdulmotaleb El Saddik,et al.  C2PS: A Digital Twin Architecture Reference Model for the Cloud-Based Cyber-Physical Systems , 2017, IEEE Access.

[29]  Carl E. Rasmussen,et al.  The Infinite Gaussian Mixture Model , 1999, NIPS.

[30]  Rikard Söderberg,et al.  Toward a Digital Twin for real-time geometry assurance in individualized production , 2017 .

[31]  Martin Holters,et al.  Measurement methods to build up the digital optical twin , 2018, LASE.