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Estimation of Aerodynamic Uncertainty in Missile System Using Physics-Informed Neural Network Framework

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Robot Intelligence Technology and Applications 7 (RiTA 2022)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 642))

Abstract

Since aircraft control system design has experienced difficulty with unexpected aerodynamic uncertainties, estimation of these uncertainties can attenuate the performance degradation of the control system. Despite the fact that wind tunnel tests and computational analysis are used to investigate aerodynamics, model uncertainties exist in aerodynamics. At that point, we concentrate on developing an estimation method for uncertainty in the center of pressure. We build Physics-Informed Neural Networks (PINNs) with additional input variables augmented for estimation because the PINN framework can resolve inverse problems related to physics. The missile simulation time-series data with different uncertainties in the center of pressure are used in the learning of neural networks. Uncertainties in all simulation data are evaluated with estimation errors within 0.2 caliber, which are precise results. During training, the uncertainty value is updated at the same time as weights and biases in neural networks. Furthermore, sensitivity analyses are performed when the sampling time is changed and noises are added. The estimation method in this work can aid in controlling and maintaining the aerodynamic system.

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References

  1. Antonelo, E.A., Camponogara, E., Seman, L.O., de Souza, E.R., Jordanou, J.P., Hubner, J.F.: Physics-informed neural nets for control of dynamical systems, April 2021. http://arxiv.org/abs/2104.02556

  2. Baird, W.H.: An introduction to inertial navigation. Technical report 9, University of Cambridge, Computer Laboratory (2009)

    Google Scholar 

  3. Böttcher, L., Antulov-Fantulin, N., Asikis, T.: AI Pontryagin or how artificial neural networks learn to control dynamical systems. Nat. Commun. 13(1), 333 (2022)

    Article  Google Scholar 

  4. Djeumou, F., Neary, C., Goubault, E., Putot, S., Topcu, U.: Neural networks with physics-informed architectures and constraints for dynamical systems modeling. In: Learning for Dynamics and Control Conference, vol. 168, pp. 263–277. PMLR (2021). http://arxiv.org/abs/2109.06407

  5. Haghighat, E., Raissi, M., Moure, A., Gomez, H., Juanes, R.: A physics-informed deep learning framework for inversion and surrogate modeling in solid mechanics. Comput. Methods Appl. Mech. Eng. 379, 113741 (2021)

    Article  MathSciNet  MATH  Google Scholar 

  6. Hornik, K., Stinchcombe, M., White, H.: Multilayer feedforward networks are universal approximators. Neural Netw. 2(5), 359–366 (1989)

    Article  MATH  Google Scholar 

  7. Jagtap, A.D., Karniadakis, G.E.: Extended physics-informed neural networks (XPINNs): a generalized space-time domain decomposition based deep learning framework for nonlinear partial differential equations. In: AAAI Spring Symposium: MLPS (2021)

    Google Scholar 

  8. Jagtap, A.D., Mao, Z., Adams, N., Karniadakis, G.E.: Physics-informed neural networks for inverse problems in supersonic flows, February 2022. http://arxiv.org/abs/2202.11821

  9. Jin, X., Cai, S., Li, H., Karniadakis, G.E.: NSFnets (Navier-Stokes flow nets): physics-informed neural networks for the incompressible Navier-Stokes equations. J. Comput. Phys. 426, 109951 (2021)

    Article  MathSciNet  MATH  Google Scholar 

  10. Jung, K.W., Kim, Y.W., Lee, C.H.: Aerodynamically controlled missile flight datasets and its applications. Int. J. Aeronaut. Space Sci. (2022). https://doi.org/10.1007/s42405-022-00531-x

  11. Lu, L., Meng, X., Mao, Z., Karniadakis, G.E.: DeepXDE: a deep learning library for solving differential equations, July 2019. http://arxiv.org/abs/1907.04502

  12. Raissi, M., Perdikaris, P., Karniadakis, G.E.: Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations. J. Comput. Phys. 378, 686–707 (2019)

    Article  MathSciNet  MATH  Google Scholar 

  13. Rohrhofer, F.M., Posch, S., Gößnitzer, C., Geiger, B.C.: Understanding the difficulty of training physics-informed neural networks on dynamical systems, March 2022. http://arxiv.org/abs/2203.13648

  14. Wang, S., Teng, Y., Perdikaris, P.: Understanding and mitigating gradient flow pathologies in physics-informed neural networks. SIAM J. Sci. Comput. 43(5), 3055–3081 (2021)

    Article  MathSciNet  MATH  Google Scholar 

  15. Zipfel, P.H.: Modeling and Simulation of Aerospace Vehicle Dynamics. AIAA (2000)

    Google Scholar 

Download references

Acknowledgements

This research is supported by Agency for Defense Development and Defense Acquisition Program Administration under the Intelligence Flight Control Research Project (Contract Number: UD200045CD).

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Correspondence to Chang-Hun Lee .

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Na, KM., Park, J., Jung, KW., Lee, CH. (2023). Estimation of Aerodynamic Uncertainty in Missile System Using Physics-Informed Neural Network Framework. In: Jo, J., et al. Robot Intelligence Technology and Applications 7. RiTA 2022. Lecture Notes in Networks and Systems, vol 642. Springer, Cham. https://doi.org/10.1007/978-3-031-26889-2_1

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