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Domain adversarial neural network-based nonlinear system identification for helicopter transmission system

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Abstract

Helicopter transmission system identification provides model support for fault diagnosis, health monitoring, controller design and so on. The great advantages of deep neural networks are shown in strong nonlinear identification such as helicopter transmission systems. In addition, transfer learning has advantages in the identification of helicopter transmission system with complex and changeable working conditions. In deep transfer learning, domain adversarial neural network can establish a generalization model in complex and variable working conditions, and fast and high-precision identification can be achieved by the network-based transfer method. Therefore, in order to take into account the accuracy and speediness of strong nonlinear helicopter transmission system identification with complicated and variable working conditions, this paper proposes a nonlinear system identification strategy based on domain adversarial neural network in deep transfer learning, which combines pre-trained and fine-tuning. Firstly, the domain adversarial neural network is pre-trained offline under various working conditions. Then, the pre-trained model is fine-tuned online in a single working condition to quickly obtain the high-precision model. The proposed nonlinear system identification strategy can achieve fast and accurate online identification under different working conditions. Finally, the experiment is carried out on the helicopter transmission test platform. The experimental results show that the pre-trained model with four working conditions can achieve high-precision identification under 16 working conditions. Furthermore, the model is fine-tuned based on the pre-trained model. The fine-tuning time is reduced by 41.5% compared to the training time of the same structure model.

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Data availability

The datasets generated and analyzed during the current study are available from the corresponding author on reasonable request.

References

  1. Yin, Z.Y., Fu, B.B., Xue, T.B., Wang, Y.H., Gao, J.: Development of helicopter power transmission system technology. In: Applied mechanics and materials, vol. 86, pp. 1–17. Trans Tech Publications Ltd. (2011)

    Google Scholar 

  2. Patrick-Aldaco, R.: A model based framework for fault diagnosis and prognosis of dynamical systems with an application to helicopter transmissions. Georgia Institute of Technology (2007)

  3. Qi, X., Theilliol, D., Qi, J.T., Zhang, Y.M., Han, J.D., Song, D.L., Wang, L., Xia, Y.: Fault diagnosis and fault tolerant control methods for manned and unmanned helicopters: a literature review. In: 2013 Conference on Control and Fault-Tolerant Systems (SysTol), pp. 132–139 (2013)

  4. Leyden, K., Goodwine, B.: Fractional-order system identification for health monitoring. Nonlinear Dyn. 92(3), 1317–1334 (2018)

    Article  Google Scholar 

  5. Zhou, B., Lu, X.J., Tang, S., Zheng, Z.Q.: Nonlinear system identification and trajectory tracking control for a flybarless unmanned helicopter: theory and experiment. Nonlinear Dyn. 96(4), 2307–2326 (2019). https://doi.org/10.1007/s11071-019-04923-9

    Article  Google Scholar 

  6. Quaranta, G., Lacarbonara, W., Masri, S.F.: A review on computational intelligence for identification of nonlinear dynamical systems. Nonlinear Dyn. 99(2), 1709–1761 (2020). https://doi.org/10.1007/s11071-019-05430-7

    Article  MATH  Google Scholar 

  7. Ahn, C.K.: ℒ2–ℒ∞ nonlinear system identification via recurrent neural networks. Nonlinear Dyn. 62(3), 543–552 (2010). https://doi.org/10.1007/s11071-010-9741-3

    Article  MathSciNet  Google Scholar 

  8. Kou, J.Q., Zhang, W.W., Yin, M.L.: Novel Wiener models with a time-delayed nonlinear block and their identification. Nonlinear Dyn. 85(4), 2389–2404 (2016). https://doi.org/10.1007/s11071-016-2833-y

    Article  Google Scholar 

  9. Pattanaik, R.K., Mohanty, M.N.: nonlinear system identification using robust fusion kernel-based radial basis function neural network. In: 2022 International Conference on Emerging Smart Computing and Informatics (ESCI), pp. 1–5 (2022). https://doi.org/10.1109/ESCI53509.2022.9758338

  10. Son, N.N., Chinh, T.M., Anh, H.P.H.: Uncertain nonlinear system identification using Jaya-based adaptive neural network. Soft. Comput. 24(22), 17123–17132 (2020). https://doi.org/10.1007/s00500-020-05006-3

    Article  Google Scholar 

  11. Qiao, J.F., Wang, G.M., Li, X.L., Li, W.J.: A self-organizing deep belief network for nonlinear system modeling. Appl. Soft Comput. 65, 170–183 (2018). https://doi.org/10.1016/j.asoc.2018.01.019

    Article  Google Scholar 

  12. Li, W.J., Chu, M.H., Qiao, J.F.: A pruning feedforward small-world neural network based on Katz centrality for nonlinear system modeling. Neural Netw. 130, 269–285 (2020). https://doi.org/10.1016/j.neunet.2020.07.017

    Article  MATH  Google Scholar 

  13. Zainuddin, F.A., Abd Samad, M.F.: Comparison of crossover in genetic algorithm for discrete-time system identification. Int. Rev. Mech. Eng. (IREME) 15(2), 59–66 (2021). https://doi.org/10.15866/ireme.v15i2.19726

    Article  Google Scholar 

  14. Han, R., Wang, R.J., Zeng, G.M.: Identification of dynamical systems using a broad neural network and particle swarm optimization. IEEE Access 8, 132592–132602 (2020). https://doi.org/10.1109/ACCESS.2020.3009982

    Article  Google Scholar 

  15. Qiao, J.F., Wang, L.Y.: Nonlinear system modeling and application based on restricted Boltzmann machine and improved BP neural network. Appl. Intell. 51(1), 37–50 (2021). https://doi.org/10.1007/s10489-019-01614-1

    Article  Google Scholar 

  16. Aguilar, C.J.Z., Gomez-Aguilar, J.F., Alvarado-Martinez, V.M., Romero-Ugalde, H.M.: Fractional order neural networks for system identification. Chaos Solitons Fractals 130, 109444 (2020). https://doi.org/10.1016/j.chaos.2019.109444

    Article  MathSciNet  MATH  Google Scholar 

  17. Wang, J.D., Lan, C.L., Liu, C., Ouyang, Y.D., Qin, T., Lu, W., Chen, Y.Q., Zeng, W.J., Yu, P.: Generalizing to unseen domains: a survey on domain generalization. IEEE Trans. Knowl. Data Eng. (2022). https://doi.org/10.1109/TKDE.2022.3178128

    Article  Google Scholar 

  18. Ganin, Y., Lempitsky, V.: Unsupervised domain adaptation by backpropagation. In: International Conference on Machine Learning, vol. 37, pp. 1180–1189 (2015)

  19. Ganin, Y., Ustinova, E., Ajakan, H., Germain, P., Larochelle, H., Laviolette, F., Marchand, M., Lempitsky, V.: Domain-adversarial training of neural networks. J. Mach. Learn. Res. 17(1), 2096 (2016)

    MathSciNet  MATH  Google Scholar 

  20. Li, H.L., Pan, S.J., Wang, S.Q., Kot, A.C.: Domain generalization with adversarial feature learning. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 5400–5409 (2018)

  21. Blanchard, G., Deshmukh, A.A., Dogan, Ü., Lee, G., Scott, C.: Domain generalization by marginal transfer learning. J. Mach. Learn. Res. 22(1), 46–100 (2021)

    MathSciNet  MATH  Google Scholar 

  22. Blanchard, G., Lee, G., Scott, C.: Generalizing from several related classification tasks to a new unlabeled sample. Adv. Neural Inf. Process. Syst. 24 (2011)

  23. Albuquerque, I., Monteiro, J., Darvishi, M., Falk, T. H., Mitliagkas, I.: Generalizing to unseen domains via distribution matching. arXiv preprint https://arxiv.org/abs/1911.00804 (2019)

  24. Tan, C.Q., Sun, F.C., Kong, T., Zhang, W.C., Yang, C., Liu, C.F.: A survey on deep transfer learning. In: International Conference on Artificial Neural Networks, pp. 270–279 (2018). https://doi.org/10.1007/978-3-030-01424-7_27

  25. Rehman, A., Naz, S., Razzak, M.I., Akram, F., Imran, M.: A deep learning-based framework for automatic brain tumors classification using transfer learning. Circuits Syst. Signal Process. 39(2), 757–775 (2020). https://doi.org/10.1007/s00034-019-01246-3

    Article  Google Scholar 

  26. Guo, Y.H., Shi, H.H., Kumar, A., Grauman, K., Rosing, T., Feris, R.: Spottune: transfer learning through adaptive fine-tuning. In: Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pp. 4805–4814 (2019). https://doi.org/10.1109/CVPR.2019.00494

  27. Bansod, S., Nandedkar, A.: Transfer learning for video anomaly detection. J. Intell. Fuzzy Syst. 36(3), 1967–1975 (2019). https://doi.org/10.3233/JIFS-169908

    Article  Google Scholar 

  28. Wang, A.X., Tran, C., Desai, N., Lobell, D., Ermon, S.: Deep transfer learning for crop yield prediction with remote sensing data. In: Proceedings of the 1st ACM SIGCAS Conference on Computing and Sustainable Societies, pp. 1–5 (2018). https://doi.org/10.1145/3209811.3212707

  29. Guo, Y.H., Li, Y.D., Wang, L.Q., Rosing, T.: Adafilter: adaptive filter fine-tuning for deep transfer learning. In: Proceedings of the AAAI Conference on Artificial Intelligence, vol. 34, pp. 4060–4066 (2020)

  30. Peng, C., Tao, Y.F., Chen, Z.P., Zhang, Y., Sun, X.Y.: Multi-source transfer learning guided ensemble LSTM for building multi-load forecasting. Expert Syst. Appl. 202, 117194 (2022). https://doi.org/10.1016/j.eswa.2022.117194

    Article  Google Scholar 

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (No. 52241502), and the National defense technology basic research project of China (No. JSZL2022110A).

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Correspondence to Xingwu Zhang.

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Chen, T., Zhang, X., Wang, C. et al. Domain adversarial neural network-based nonlinear system identification for helicopter transmission system. Nonlinear Dyn 111, 14695–14711 (2023). https://doi.org/10.1007/s11071-023-08657-7

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