Skip to main content

Deep Echo State Network Based Neuroadaptive Control for Uncertain Systems

  • Conference paper
  • First Online:
Neural Computing for Advanced Applications (NCAA 2022)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1637))

Included in the following conference series:

  • 632 Accesses

Abstract

This work presents a deep echo state network (DESN) based neuroadaptive control approach for a class of single-input single-output (SISO) uncertain system. In which, a DESN based on multiple reservoirs is applied for approximating the uncertain parts of the control system and the rigorous stability condition under the presented control strategy is analyzed. The availability of the approach is proved by comparison with the control technique using radial basis function neural network (RBFNN) and the control scheme using traditional echo state network (ESN) via numerical simulations, demonstrating that superior tracking performance is achieved by the proposed method.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Li, Y., Tong, S.: Adaptive neural networks decentralized FTC design for nonstrict-feedback nonlinear interconnected large-scale systems against actuator faults. IEEE Trans. Neural Netw. Learn. Syst. 28(11), 2541–2554 (2017)

    Article  MathSciNet  Google Scholar 

  2. Song, Y., Guo, J., Huang, X.: Smooth neuroadaptive PI tracking control of nonlinear systems with unknown and nonsmooth actuation characteristics. IEEE Trans. Neural Netw. Learn. Syst. 28(9), 2183–2195 (2017)

    MathSciNet  Google Scholar 

  3. Yang, C., Wang, X., Cheng, L., Ma, H.: Neural-learning-based telerobot control with guaranteed performance. IEEE Trans. Cybern. 47(10), 3148–3159 (2017)

    Article  Google Scholar 

  4. Esfandiari, K., Abdollahi, F., Talebi, H.: Adaptive control of uncertain nonaffine nonlinear systems with input saturation using neural networks. IEEE Trans. Neural Netw. Learn. Syst. 26(10), 2311–2322 (2015)

    Article  MathSciNet  Google Scholar 

  5. Liu, Y., Li, J., Tong, S., Chen, C.: Neural network control-based adaptive learning design for nonlinear systems with full-state constraints. IEEE Trans. Neural Netw. Learn. Syst. 27(7), 1562–1571 (2016)

    Article  MathSciNet  Google Scholar 

  6. Song, Y., Zhou, S.: Neuroadaptive control with given performance specifications for MIMO strict-feedback systems under nonsmooth actuation and output constraints. IEEE Trans. Neural Netw. Learn. Syst. 29(9), 4414–4425 (2018)

    Article  Google Scholar 

  7. Zhao, K., Song, Y.: Neuroadaptive robotic control under time-varying asymmetric motion constraints: a feasibility-condition-free approach. IEEE Trans. Cybern. 50(1), 15–24 (2020)

    Article  MathSciNet  Google Scholar 

  8. Han, H., Zhang, L., Hou, Y., Qiao, J.: Nonlinear model predictive control based on a self-organizing recurrent neural network. IEEE Trans. Neural Netw. Learn. Syst. 27(2), 402–415 (2016)

    Article  MathSciNet  Google Scholar 

  9. Jaeger, H.: The “echo state” approach to analysing and training recurrent neural networks. Technical report GMD Report 148, German National Research Center for Information Technology (2001)

    Google Scholar 

  10. Han, S., Lee, J.: Precise positioning of nonsmooth dynamic systems using fuzzy wavelet echo state networks and dynamic surface sliding mode control. IEEE Trans. Ind. Electron. 60(11), 5124–5136 (2013)

    Article  Google Scholar 

  11. Han, S., Lee, J.: Fuzzy echo state neural networks and funnel dynamic surface control for prescribed performance of a nonlinear dynamic system. IEEE Trans. Ind. Electron. 61(2), 1099–1112 (2014)

    Article  Google Scholar 

  12. Chen, Q., Shi, L., Na, J., Ren, X., Nan, Y.: Adaptive echo state network control for a class of pure-feedback systems with input and output constraints. Neurocomputing 275, 1370–1382 (2017)

    Article  Google Scholar 

  13. Liu, C., Zhang, H., Luo, Y., Su, H.: Dual heuristic programming for optimal control of continuous-time nonlinear systems using single echo state network. IEEE Trans. Cybern. (2020) https://doi.org/10.1109/TCYB.2020.2984952

  14. Chen, Q., Shi, H., Sun, M.: Echo state network-based backstepping adaptive iterative learning control for strict-feedback systems: an error-tracking approach. IEEE Trans. Cybern. 50(7), 3009–3022 (2020)

    Article  Google Scholar 

  15. Yao, X., Wang, Z., Zhang, H.: Identification method for a class of periodic discrete-time dynamic nonlinear systems based on Sinusoidal ESN. Neurocomputing 275, 1511–1521 (2018)

    Article  Google Scholar 

  16. Wang, Z., Yao, X., Li, T., Zhang, H.: Design of PID controller based on echo state network with time-varying reservoir parameter. IEEE Trans. Cybern. (2021). https://doi.org/10.1109/TCYB.2021.3090812

  17. Hermans, M., Schrauwen, B.: Training and analyzing deep recurrent neural networks. In: Proceedings of the 27th Conference on Neural Information Processing Systems, pp. 190–198 (2013)

    Google Scholar 

  18. Gallicchio, C., Micheli, A.: Deep reservoir computing: a critical analysis. In: Proceedings of the 24th European Symposium on Artificial Neural Networks, pp. 497–502 (2016)

    Google Scholar 

  19. Gallicchio, C., Micheli, A.: Deep echo state network (DeepESN): a brief survey. arXiv preprint arXiv: 1712.04323 (2017)

  20. Gallicchio, C., Micheli, A., Pedrelli, L.: Deep reservoir computing: a critical experimental analysis. Neurocomputing 268, 87–99 (2017)

    Article  Google Scholar 

  21. Claudio, G., Alessio, M., Luca, P.: Design of deep echo state networks. Neural Netw. 108, 33–47 (2018)

    Article  Google Scholar 

  22. Kim, T., King, B.R.: Time series prediction using deep echo state networks. Neural Comput. Appl. 32(23), 17769–17787 (2020). https://doi.org/10.1007/s00521-020-04948-x

    Article  Google Scholar 

  23. Long, J., Zhang, S., Li, C.: Evolving deep echo state networks for intelligent fault diagnosis. IEEE Trans. Industr. Inf. 16(7), 4928–4937 (2020)

    Article  Google Scholar 

  24. Song, Z., Wu, K., Shao, J.: Destination prediction using deep echo state network. Neurocomputing 406, 343–353 (2020)

    Article  Google Scholar 

  25. Gallicchio, C., Micheli, A., Pedrelli, L.: Deep echo state networks for diagnosis of Parkinson’s disease. In: Proceedings of the 26th European Symposium on Artificial Neural Networks, pp. 397–402 (2018)

    Google Scholar 

  26. Funahashi, K., Nakamura, Y.: Approximation of dynamical systems by continuous time recurrent neural networks. Neural Netw. 6, 801–806 (1993)

    Article  Google Scholar 

Download references

Acknowledgement

This work was supported in part by the Key Laboratory of Exploitation and Study of Distinctive Plants in Education Department of Sichuan Province (Grant No. TSZW2109) and in part by the Research Foundation of Chongqing University of Science and Technology (Grant No. 182101058).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Qing Chen .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Xu, B., Chen, Q. (2022). Deep Echo State Network Based Neuroadaptive Control for Uncertain Systems. In: Zhang, H., et al. Neural Computing for Advanced Applications. NCAA 2022. Communications in Computer and Information Science, vol 1637. Springer, Singapore. https://doi.org/10.1007/978-981-19-6142-7_21

Download citation

  • DOI: https://doi.org/10.1007/978-981-19-6142-7_21

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-6141-0

  • Online ISBN: 978-981-19-6142-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics