Uncertainty-Aware Model-Constrained Neural Digital Twins for Real-Time Forecast, Calibration, and Control of Aeroelastic Airfoils

##plugins.themes.bootstrap3.article.main##

##plugins.themes.bootstrap3.article.sidebar##

Published Sep 28, 2026
William Cole Nockolds Thomas A. Scott Tan Bui-Thanh Shatad Purohit Sitaram Ramaswamy

Abstract

Current structural health monitoring (SHM) in aeroelastic systems struggles with recovering unobservable states from limited sensor data, lacks quantified prediction confidence, and exhibits brittleness under off-nominal conditions. To address these operational gaps, this paper presents a physics aware neural digital twin (DT) designed for real-time, adaptive monitoring of aerospace structures. The proposed DT framework combines two neural networks for stabilizing control and forward prediction while using Bayesian filtering for nonlinear state estimation and uncertainty quantification. We train the controller using Proximal Policy Optimization (PPO) [1], an actor-critic method, and the forward model using the mcTangent loss [2]. We use Bayesian particle filter ing to infer the state and provide uncertainty quantification for assurance. The DT then provides the control input to the physical twin using the mean state estimate. Using only pitch angle measurements from a nonlinear airfoil model, the DT recovers full system state, stabilizes the structure rapidly, and provides uncertainty quantification (UQ) with all predictions. Finally, we compare the results to a more traditional approach of ensemble Kalman filter (EnKF) and model predictive control (MPC) and the base ODE model rather than the surrogate, which preforms worse due to worse early estimation of the hidden state. We also discuss the architecture’s transferability to broader digital twin applications across aerospace platforms.

How to Cite

Nockolds, W. C., Scott, T. A. ., Bui-Thanh, T., Purohit, S. ., & Ramaswamy, S. (2026). Uncertainty-Aware Model-Constrained Neural Digital Twins for Real-Time Forecast, Calibration, and Control of Aeroelastic Airfoils. Annual Conference of the PHM Society, 18(1). https://doi.org/10.36001/phmconf.2026.v18i1.4799
Abstract 61 | PDF Downloads 38

##plugins.themes.bootstrap3.article.details##

Keywords

Digital Twins, Machine Learning

References
John Schulman, Filip Wolski, Prafulla Dhariwal, Alec Radford, and Oleg Klimov. Proximal policy optimization algorithms, 2017.
Hai V. Nguyen and Tan Bui-Thanh. A modelconstrained tangent slope learning approach for dynamical systems. International Journal of Computational Fluid Dynamics, 36(7):655–685, August 2022.
National Academy of Engineering and National Academies of Sciences, Engineering, and Medicine. Foundational Research Gaps and Future Directions for Digital Twins. The National Academies Press, Washington, DC, 2024.
Adam Thelen, Xiaoge Zhang, Olga Fink, Yan Lu, Sayan Ghosh, Byeng D. Youn, Michael D. Todd, Sankaran Mahadevan, Chao Hu, and Zhen Hu. A comprehensive review of digital twin – part 1: Modeling and twinning enabling technologies, 2022.
Prasad Talasila, Dmitri Tcherniak, Anders M.D. Jensen, Swarup Mahato, Jakob V. Medom, Martin D. Ulriksen, Giuseppe Abbiati, A. Sch¨orghofer- Queiroz, Peter G. Larsen, and Lars Damkilde. A digital twin platform for structural health monitoring. Computer-Aided Civil and Infrastructure Engineering, 50:100086, 2026.
Marcel Menner, Ankush Chakrabarty, Karl Berntorp, and Stefano Di Cairano. Learning optimization-based control policies directly from digital twin simulations. In 2022 IEEE Conference on Control Technology and Applications (CCTA), pages 895–900, 2022.
T.G. Ritto and F.A. Rochinha. Digital twin, physicsbased model, and machine learning applied to damage detection in structures. Mechanical Systems and Signal Processing, 155:107614, 2021.
Raisa Bentay Hossain, Farid Ahmed, Kazuma Kobayashi, Seid Koric, Diab Abueidda, and Syed Bahauddin Alam. Virtual sensing-enabled digital twin framework for real-time monitoring of nuclear systems leveraging deep neural operators, 2024.
Joelle W.Y. Chia, Wim J.C. Verhagen, Jose M. Silva, and Ivan S. Cole. A review and outlook of airframe digital twins for structural prognostics and health management in the aviation industry. Journal of Manufacturing Systems, 77:398–417, 2024.
Eric J. Tuegel, Anthony R. Ingraffea, Thomas G. Eason, and S. Michael Spottswood. Reengineering aircraft structural life prediction using a digital twin. International Journal of Aerospace Engineering, 2011(1):154798, 2011.
Xiaonan Lai, Liangliang Yang, Xiwang He, Yong Pang, Xueguan Song, andWei Sun. Digital twin-based structural health monitoring by combining measurement and computational data: An aircraft wing example. Journal of Manufacturing Systems, 69:76–90, 2023.
Jiaqi Xu, Dingqiang Dai, Xuan Zhou, Marco Giglio, Claudio Sbarufatti, and Leiting Dong. Structural damage diagnosis and prognosis with fleet digital twin considering similarity of individual structural features. Aerospace Science and Technology, 168:110983, 2026.
M.G. Kapteyn, D.J. Knezevic, D.B.P. Huynh, M. Tran, and K.E. Willcox. Data-driven physics-based digital twins via a library of component-based reduced-order models. International Journal for Numerical Methods in Engineering, 123(13):2986–3003, 2022.
Sebastian Thrun, Wolfram Burgard, and Dieter Fox. Probabilistic robotics. MIT Press, Cambridge, Mass., 2005.
Yuting Bai, Bin Yan, Chenguang Zhou, Tingli Su, and Xuebo Jin. State of art on state estimation: Kalman filter driven by machine learning. Annual Reviews in Control, 56:100909, 2023.
Zheng-Meng Zhai, Mohammadamin Moradi, Bryan Glaz, Mulugeta Haile, and Ying-Cheng Lai. Machinelearning parameter tracking with partial state observation. Phys. Rev. Res., 6:013196, Feb 2024.
Negar Asadi and Seyede Fatemeh Ghoreishi. Bayesian state estimation in partially-observed dynamic multidisciplinary systems. Frontiers in Aerospace Engineering, Volume 1 - 2022, 2022.
Lorenzo Schena, Pedro A. Marques, Romain Poletti, Samuel Ahizi, Jan Van den Berghe, and Miguel A. Mendez. Reinforcement twinning: From digital twins to model-based reinforcement learning. Journal of Computational Science, 82:102421, 2024.
Ling-Wei Kong, Yang Weng, Bryan Glaz, Mulugeta Haile, and Ying-Cheng Lai. Digital twins of nonlinear dynamical systems, 2022.
T. Hielscher, S. Khalil, N. Virgona, and S.A. Hadigheh. A neural network based digital twin model for the structural health monitoring of reinforced concrete bridges. Structures, 57:105248, 2023.
R. E. Kalman. A new approach to linear filtering and prediction problems. Journal of Basic Engineering, 82(1):35–45, 03 1960.
Ian Grooms. A comparison of nonlinear extensions to the ensemble kalman filter: Gaussian anamorphosis and two-step ensemble filters. Computational Geosciences, 26(3):633–650, March 2022.
M.S. Arulampalam, S. Maskell, N. Gordon, and T. Clapp. A tutorial on particle filters for online nonlinear/non-gaussian bayesian tracking. IEEE Transactions on Signal Processing, 50(2):174–188, 2002.
Andrew McClellan, Joseph Lorenzetti, Marco Pavone, and Charbel Farhat. A physics-based digital twin for model predictive control of autonomous unmanned aerial vehicle landing. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 380(2229):20210204, 06 2022.
Yi-Ping Chen, Vispi Karkaria, Ying-Kuan Tsai, Faith Rolark, Daniel Quispe, Robert X. Gao, Jian Cao, and Wei Chen. Real-time decision-making for digital twin in additive manufacturing with model predictive control using time-series deep neural networks. Journal of Manufacturing Systems, 80:412–424, 2025.
Matthew J. Tenny, James B. Rawlings, and Stephen J. Wright. Closed-loop behavior of nonlinear model predictive control. AIChE Journal, 50(9):2142–2154, 2004.
Rolf Findeisen and Frank Allg¨ower. Computational delay in nonlinear model predictive control. IFAC Proceedings Volumes, 37(1):427–432, 2004. 7th International Symposium on Advanced Control of Chemical Processes (ADCHEM 2003), Hong-Kong, 11-14 January 2004.
Keum W. Lee and Sahjendra N. Singh. Global Robust Control of an Aeroelastic System Using Output Feedback. Journal of Guidance, Control, and Dynamics, 30(1):271–275, 2007.
Ricky T. Q. Chen, Yulia Rubanova, Jesse Bettencourt, and David Duvenaud. Neural ordinary differential equations, 2019.
Jeonghwan Ko, Thomas W. Strganac, and Andrew J. Kurdila. Stability and control of a structurally nonlinear aeroelastic system. Journal of Guidance, Control, and Dynamics, 21(5):718–725, 1998.
Carlos J. G. Rojas, Andreas Dengel, and Mateus Dias Ribeiro. Reduced-order model for fluid flows via neural ordinary differential equations, 2021.
Diederik P. Kingma and Jimmy Ba. Adam: A method for stochastic optimization, 2017.
James Bradbury, Roy Frostig, Peter Hawkins, Matthew James Johnson, Yash Katariya, Chris Leary, Dougal Maclaurin, George Necula, Adam Paszke, Jake VanderPlas, SkyeWanderman-Milne, and Qiao Zhang. JAX: composable transformations of Python+NumPy programs, 2018.
Joel A E Andersson, Joris Gillis, Greg Horn, James B Rawlings, and Moritz Diehl. CasADi – A software framework for nonlinear optimization and optimal control. Mathematical Programming Computation, 11(1):1–36, 2019.
Section
Technical Research Papers