Skip to main content
Log in

Optimization-based model reference adaptive control for dynamic positioning of a fully actuated underwater vehicle

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

Abstract

This paper presents a predictive optimization-based model reference adaptive control (MRAC) approach for dynamic positioning (DP) of a fully actuated underwater vehicle subject to dynamic uncertainties and actuator saturation. Compared with conventional linear reference model-based approaches, this proposed MRAC controller utilizes an optimized reference model composed of the closed-loop approximate vehicle model under a nonlinear model predictive controller, in which both the state and input constraints are considered. An adaptive dynamic inversion controller is designed to track the reference trajectory in the presence of dynamic uncertainties, and a single hidden layer neural network is incorporated to compensate for the mismatch of the actual and approximate models and ensure the convergence of tracking errors. The effectiveness of the proposed DP approach is validated by comparative simulations performed with a remotely operated vehicle.

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
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. Sørensen, A.J.: A survey of dynamic positioning control systems. Annu. Rev. Control 35(1), 123–136 (2011)

    Article  Google Scholar 

  2. Fossen, T.I.: Marine Control Systems: Guidance, Navigation and Control of Ships, Rigs and Underwater Vehicles. Marine Cybernetics AS, Trondheim, Norway (2002)

    Google Scholar 

  3. Fannemel, Å.V.: Dynamic Positioning by Nonlinear Model Predictive Control. Master’s thesis, Norwegian University of Science and Technology, Norway (2008)

  4. Tannuri, E.A., Agostinho, A.C., Morishita, H.M., Moratelli, J.L.: Dynamic positioning systems: an experimental analysis of sliding mode control. Control Eng. Pract. 18(10), 1121–1132 (2010)

    Article  Google Scholar 

  5. Do, K.D.: Global robust and adaptive output feedback dynamic positioning of surface ships. J. Mar. Sci. Appl. 10(3), 325–332 (2011)

    Article  Google Scholar 

  6. 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 

  7. Panagoua, D., Kyriakopoulos, K.J.: Dynamic positioning for an underactuated marine vehicle using hybrid control. Int. J. Control 87(2), 264–280 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  8. Kjerstad, Ø.K., Skjetne, R., Jenssen, N.A.: Disturbance rejection by acceleration feedforward: Application to dynamic positioning. In: the 18th IFAC World Congress 18(1), pp. 2523–2528. Milano, Italy (2011)

  9. Smallwood, D.A., Whitcomb, L.L.: Model-based dynamic positioning of underwater robotic vehicles: theory and experiment. IEEE J. Ocean. Eng. 29(1), 169–186 (2004)

    Article  Google Scholar 

  10. Riedel, J.S.: Shallow water station keeping of an autonomous underwater vehicle: the experimental results of a disturbance compensation controller. In: the MTS/IEEE Oceans Conference, Providence (2000)

  11. Chiaverini, A.G., Sarkar, S., West, N.: Adaptive control of an autonomous underwater vehicle: experimental results on ODIN. IEEE Trans. Control Syst. Technol. 9(5), 756–765 (2001)

    Article  Google Scholar 

  12. Hoang, N.Q., Kreuzer, E.: Adaptive PD-controller for positioning of a remotely operated vehicle close to an underwater structure: theory and experiments. Control Eng. Pract. 15(4), 411–419 (2007)

    Article  Google Scholar 

  13. Bessa, W.M., Dutra, M.S., Kreuzer, E.: Dynamic positioning dynamic positioning of underwater robotic vehicles with thruster dynamics compensation. Int. J. Adv. Robot. Syst. 10(9), 325 (2013)

    Article  Google Scholar 

  14. Garcia-Valdovinos, L.G., Salgado-Jimenez, T.: On the dynamic positioning control of underwater vehicles subject to ocean currents. In: The International Conference on Electrical Engineering Computing Science and Automatic Control, Merida City, Mexico (2011)

  15. Fischer, N., Hughes, D., Walters, P., Schwartz, E.M., Dixon, W.E.: Nonlinear RISE-based control of an autonomous underwater vehicle. IEEE Trans. Robot. 30(4), 845–852 (2014)

    Article  Google Scholar 

  16. Li, J.H., Lee, P.M.: A neural network adaptive controller design for free-pitch-angle diving behavior of an autonomous underwater vehicle. Robot. Auton. Syst. 52(2–3), 132–147 (2005)

    Article  Google Scholar 

  17. Zhang, L.J., Qi, X., Pang, Y.J.: Adaptive output feedback control based on DRFNN for AUV. Ocean Eng. 36(9–10), 716–722 (2009)

    Article  Google Scholar 

  18. Leonessa, A., VanZwieten, T., Morel, Y.: Neural network model reference adaptive control of marine vehicles. In: Current Trends in Nonlinear Systems and Control Systems and Control: Foundations & Applications, pp. 421–440 (2006)

  19. Xia, G., Pang, C., Wang, H., Le, Y.: Adaptive neural network controller applied to dynamic positioning of a remotely operated vehicle. In: the MTS/IEEE Oceans Conference, Bergen (2013)

  20. Chu, Z., Zhu, D., Yang, S.X.: Observer-based adaptive neural network trajectory tracking control for remotely operated vehicle. IEEE Trans. Neural Netw. Learn. Syst. (2016). doi:10.1109/TNNLS.2016.2544786

    Google Scholar 

  21. Gao, J., Liu, C., Proctor, A.: Nonlinear model predictive dynamic positioning control of an underwater vehicle with an onboard USBL system. J. Mar. Sci. Technol. 21(1), 57–69 (2015)

    Article  Google Scholar 

  22. Johnson, E.N., Kannan, S.K.: Adaptive trajectory control for autonomous helicopters. J. Guid. Control Dyn. 28(3), 524–538 (2005)

    Article  Google Scholar 

  23. Chowdhary, G., Johnson, E.N.: Theory and flight test validation of a concurrent learning adaptive controller. J. Guid. Control Dyn. 34, 592–607 (2011)

    Article  Google Scholar 

  24. MacKunis, W., Patre, P.M., Kaiser, M.K., Dixon, W.E.: Asymptotic tracking for aircraft via robust and adaptive dynamic inversion methods. IEEE Trans. Control Syst. Technol. 18(6), 1448–1456 (2010)

    Article  Google Scholar 

  25. Lavretsky, E., Gadient, R., Gregory, I.M.: Predictor-based model reference adaptive control. J. Guid. Control Dyn. 33(4), 1195–1201 (2010)

    Article  Google Scholar 

  26. Molero, A., Dunia, R., Cappelletto, J., Fernandez, G.: Model predictive control of remotely operated underwater vehicles. In: IEEE Conference on Decision and Control and European Control Conference, pp. 2058–2063 (2011)

  27. Shen, C., Shi, Y., Buckham, B.: Integrated path planning and tracking control of an auv: a unified receding horizon optimization approach. IEEE/ASME Transa. Mechatron. (2016). doi:10.1109/TMECH.2016.2612689

  28. Du, H., Yu, X., Chen, M.Z.Q., Li, S.: Chattering-free discrete-time sliding mode control. Automatica 68, 87–91 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  29. Johnson, E.N.: Limited Authority adaptive flight control. Doctor’s thesis, Georgia Institute of Technology, USA (2000)

  30. Lewis, F.L.: Nonlinear network structures for feedback control. Asian J. Control 1(4), 205–228 (1999)

    Article  Google Scholar 

  31. Khalil, H.K.: Nonlinear Syst., 3rd edn. Pearson Hall, Upper Saddle River (2002)

    Google Scholar 

  32. Fossen, T.I., Johansen, T.A.: A survey of control allocation methods for ships and underwater vehicles. In: 14th Mediterranean Conference on Control and Automation, Ancona, pp. 1–6 (2006)

  33. Soylu, S., Buckham, B.J., Podhorodeski, R.P.: A chattering-free sliding-mode controller for underwater vehicles with fault-tolerant infinity-norm thrust allocation. Ocean Eng. 35, 1647–1659 (2008)

  34. Yin, C., Chen, Y., Zhong, S.: Fractional-order sliding mode based extremum seeking control of a class of nonlinear systems. Automatica 50, 3173–3181 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  35. Yin, C., Stark, B., Chen, Y., Zhong, S., Lau, E.: Fractional-order adaptive minimum energy cognitive lighting control strategy for the hybrid lighting system. Energy Build. 87, 176–184 (2015)

  36. Silpa-Anan, C.: Autonomous underwater robot: vision and control, master’s thesis, Australian National University, Australia (2001)

Download references

Acknowledgements

The authors would like to thank the editor and reviewers for their constructive comments and suggestions that have improved the quality of the paper. This work is supported by the National Natural Science Foundation of China under Grant 51279164.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jian Gao.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gao, J., Wu, P., Li, T. et al. Optimization-based model reference adaptive control for dynamic positioning of a fully actuated underwater vehicle. Nonlinear Dyn 87, 2611–2623 (2017). https://doi.org/10.1007/s11071-016-3214-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-016-3214-2

Keywords

Navigation