Skip to main content
Log in

Single-parameter-learning-based robust adaptive control of dynamic positioning ships considering thruster system dynamics in the input saturation state

  • Original Paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

The focus of this paper is presented on robust adaptive dynamic positioning control in the face of thruster system dynamics. In the maritime domain, it considers the issues of model parameter ingestion, unknown time-varying disturbances, and input saturation. First, a finite-time convergent disturbance observer is used for the online estimation of unknown time-variant disturbances. Additionally, the model ingestion problem is also solved with a single-parameter learning neural network. Furthermore, a robust control term is introduced to account for undesired errors. Then, the thruster dynamics equation is considered to solve the issue of thruster dynamics characteristics in the designed process of the controller. Finally, the input saturation problem is addressed with a finite-time auxiliary dynamic system. The suggested dynamic positioning control approach allows the ship to retain the required position and direction, as demonstrated. Respectively, all control variables in the dynamic positioning control system are consistent and ultimately bounded. At last, the proposed dynamic positioning control method was validated through the experimental simulations on the supply vessel Northern Clipper.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

Data Availability

Data sharing not applicable to this article as no datasets were generated or analysed during the current study.

References

  1. Gao, X., Bai, W., Li, T., Yuan, L., Long, Y.: Broad learning system-based adaptive optimal control design for dynamic positioning of marine vessels. Nonlinear Dyn. 105(2), 1593–1609 (2021)

    Article  Google Scholar 

  2. Xie, W., Reis, J., Cabecinhas, D., Silvestre, C.: Design and experimental validation of a nonlinear controller for underactuated surface vessels. Nonlinear Dyn. 102(4), 2563–2581 (2020)

    Article  Google Scholar 

  3. Yoo, S.J., Park, B.S.: Guaranteed-connectivity-based distributed robust event-triggered tracking of multiple underactuated surface vessels with uncertain nonlinear dynamics. Nonlinear Dyn. 99(3), 2233–2249 (2020)

    Article  Google Scholar 

  4. Liu, S., Liu, Y., Liang, X., Wang, N.: Uncertainty observation-based adaptive succinct fuzzy-neuro dynamic surface control for trajectory tracking of fully actuated underwater vehicle system with input saturation. Nonlinear Dyn. 98(3), 1683–1699 (2019)

    Article  Google Scholar 

  5. Gao, J., Puguo, W., Li, T., Proctor, A.: Optimization-based model reference adaptive control for dynamic positioning of a fully actuated underwater vehicle. Nonlinear Dyn. 87(4), 2611–2623 (2017)

    Article  Google Scholar 

  6. Liu, L., Wang, D., Peng, Z.: Direct and composite iterative neural control for cooperative dynamic positioning of marine surface vessels. Nonlinear Dyn. 81(3), 1315–1328 (2015)

    Article  Google Scholar 

  7. Grovlen, A., Fossen, T.I.: Nonlinear control of dynamic positioned ships using only position feedback: an observer backstepping approach. In: Proceedings of 35th IEEE Conference on Decision and Control, 3, 3388–3393. IEEE (1996)

  8. Fossen, T.I., Grovlen, A.: Nonlinear output feedback control of dynamically positioned ships using vectorial observer backstepping. IEEE Trans. Control Syst. Technol. 6(1), 121–128 (1998)

    Article  Google Scholar 

  9. Nguyen, T.D., Sorensen, A.J., Tong Quek, S.: Design of hybrid controller for dynamic positioning from calm to extreme sea conditions. AUTOMATICA -OXFORD- (2007)

  10. Du, J., Yang, Y., Wang, D., Guo, C.: A robust adaptive neural networks controller for maritime dynamic positioning system. Neurocomputing 110, 128–136 (2013)

    Article  Google Scholar 

  11. Du, J., Hu, X., Krsti, M., Sun, Y.: Robust dynamic positioning of ships with disturbances under input saturation. Automatica 73, 207–214 (2016)

    Article  MathSciNet  Google Scholar 

  12. Xin, H., Du, J.: Robust nonlinear control design for dynamic positioning of marine vessels with thruster system dynamics. Nonlinear Dyn., 94 (2018)

  13. Hu, X., Du, J., Shi, J.: Adaptive fuzzy controller design for dynamic positioning system of vessels. Appl. Ocean Res. 53, 46–53 (2015)

    Article  Google Scholar 

  14. Qiu, B., Wang, G., Fan, Y.: Trajectory linearization-based adaptive plos path following control for unmanned surface vehicle with unknown dynamics and rudder saturation. Appl. Sci. 10(10), 3538 (2020)

    Article  Google Scholar 

  15. Mu, D., Wang, G., Fan, Y.: Variable bandwidth adaptive course keeping control strategy for unmanned surface vehicle. Energies 13(19), 5091 (2020)

    Article  Google Scholar 

  16. Liu, L., Fan, Y.: Active disturbance rejection course control for usv based on rbf neural network. In: 2020 39th Chinese Control Conference (CCC), pp. 3344–3351. IEEE (2020)

  17. Huang, H., Fan, Y.: Robust adaptive maneuvering control for an unmanned surface vessel with uncertainties. IEEJ Trans. Electr. Electr. Eng. 14(8), 1226–1235 (2019)

    Article  Google Scholar 

  18. Fan, Y., Huang, H., Tan, Y.: Robust adaptive path following control of an unmanned surface vessel subject to input saturation and uncertainties. Appl. Sci. 9(9), 1815 (2019)

    Article  Google Scholar 

  19. Xiaojie, S., Guofeng, W., Yunsheng, F.: Adaptive trajectory tracking control of vector propulsion unmanned surface vehicle with disturbances and input saturation. Nonlinear Dyn., pp. 1–15 (2021)

  20. Mu, D., Wang, G., Fan, Y.: Trajectory tracking control for underactuated unmanned surface vehicle subject to uncertain dynamics and input saturation. Neural Comput. Appl., pp. 1–13 (2021)

  21. Qiu, B., Wang, G., Fan, Y.: Predictor los-based trajectory linearization control for path following of underactuated unmanned surface vehicle with input saturation. Ocean Eng. 214, 107874 (2020)

    Article  Google Scholar 

  22. Mu, D., Wang, G., Fan, Y.: A time-varying lookahead distance of ilos path following for unmanned surface vehicle. J. Electr. Eng. Technol. 15(5), 2267–2278 (2020)

    Article  Google Scholar 

  23. Jinshu, L., Yu, S., Zhu, G., Zhang, Q., Chen, C., Zhang, J.: Robust adaptive tracking control of umsvs under input saturation: a single-parameter learning approach. Ocean Eng. (2021)

  24. Mu, D., Wang, G., Fan, Y., Qiu, B., Sun, X.: Adaptive course control based on trajectory linearization control for unmanned surface vehicle with unmodeled dynamics and input saturation. Neurocomputing 330, 1–10 (2019)

    Article  Google Scholar 

  25. Fan, Y., Liu, B., Wang, G., Mu, D.: Adaptive fast non-singular terminal sliding mode path following control for an underactuated unmanned surface vehicle with uncertainties and unknown disturbances. Sensors 21(22), 7454 (2021)

  26. Qiu, B., Wang, G., Fan, Y.: Trajectory linearization-based robust course keeping control of unmanned surface vehicle with disturbances and input saturation. ISA Trans. 112, 168–175 (2021)

    Article  Google Scholar 

  27. Liang, K., Lin, X., Chen, Y., Li, J., Ding, F.: Adaptive sliding mode output feedback control for dynamic positioning ships with input saturation. Ocean Eng., 206

  28. Sørensen, A.J., Sagatun, S.I., Fossen, T.I.: Design of a dynamic positioning system using model-based control. Control Eng. Pract. 4(3), 359–368 (1996)

    Article  Google Scholar 

  29. Berge, S.P., Fossen, T.I.: Robust control allocation of overactuated ships; experiments with a model ship. IFAC Proc. 30(22), 193–198 (1997)

    Article  Google Scholar 

  30. Hu, X., Du, J., Zhu, G., Sun, Y.: Robust adaptive nn control of dynamically positioned vessels under input constraints. Neurocomputing 318, 201–212 (2018)

    Article  Google Scholar 

  31. Fossen, T.I., Strand, J.P.: Passive nonlinear observer design for ships using lyapunov methods: full-scale experiments with a supply vessel. Automatica, 35(1), (1999)

  32. Sorensen, A.J., Sagatun, S.I., Fossen, T.I.: Design of a dynamic positioning system using model-based control. Control Eng. Prac. 4(3), 359–368 (1996)

    Article  Google Scholar 

  33. Berge, S.P., Fossen, T.I.: Robust control allocation of overactuated ships; experiments with a model ship. IFAC Proceedings Volumes (1997)

  34. Qian, C., Li, S., Frye, M.T., Du, H.: Global finite-time stabilisation using bounded feedback for a class of non-linear systems. Control Theory Appl. Iet 6(14), 2326–2336 (2015)

    MathSciNet  Google Scholar 

Download references

Funding

This work was supported in part by the National Natural Science Foundation of China under Grant 51609033, the Natural Science Foundation of Liaoning Province under Grant 20180520005, the Key Development Guidance Program of Liaoning Province of China under Grant 2019JH8/10100100, the Soft Science Research Program of Dalian City of China under Grant 2019J11CY014, Fundamental Research Funds for the Central Universities under Grant 3132021106, 3132019005, 3132019311 and China Postdoctoral Science Foundation 2022M710569.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yupei Feng.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mu, D., Feng, Y., Wang, G. et al. Single-parameter-learning-based robust adaptive control of dynamic positioning ships considering thruster system dynamics in the input saturation state. Nonlinear Dyn 110, 395–412 (2022). https://doi.org/10.1007/s11071-022-07657-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-022-07657-3

Keywords

Navigation