Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-05T01:11:03.722Z Has data issue: false hasContentIssue false

Data-driven model predictive control of underactuated ships with unknown dynamics in confined waterways

Published online by Cambridge University Press:  05 October 2022

Shijie Li
Affiliation:
School of Transportation and Logistics Engineering, Wuhan University of Technology, Wuhan 430063, P. R. China
Chengqi Xu
Affiliation:
School of Transportation and Logistics Engineering, Wuhan University of Technology, Wuhan 430063, P. R. China
Jialun Liu*
Affiliation:
Intelligent Transportation Systems Research Center, Wuhan University of Technology, Wuhan 430063, P. R. China National Engineering Research Center for Water Transport Safety, Wuhan 430063, P. R. China
*
*Corresponding author. E-mail: [email protected]

Abstract

Inland waterway transportation is one of the most important means to transport cargo in rivers and canals. To facilitate autonomous navigation for ships in inland waterways, this paper proposes a data-driven approach for predictions and control of underactuated ships with unknown dynamics, which integrates model predictive control (MPC) with an iterative learning control (ILC) scheme. In each iteration, kernel-based linear regressors are used to identify the relations between the evolution of ship states and control inputs based on the stored data from previous iterations and the collected data during operation, so as to build the system prediction model. The data are dynamically used to fix the prediction model over iterations, as well as to improve the controller performance until it converges. The proposed approach does not require prior knowledge regarding the hydrodynamic coefficients and ship parameters, but learns from the data instead. In addition, it exploits the advantages of MPC in handling constraints with minimised overall cost. Simulation results show that the controller could start from a nominal, linear data-driven ship model and then learn to reduce the path-following errors based on the data obtained over iterations.

Type
Research Article
Copyright
Copyright © The Author(s), 2022. Published by Cambridge University Press on behalf of The Royal Institute of Navigation

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Andersen, E. D., Roos, C. and Terlaky, T. (2003). On implementing a primal-dual interior-point method for conic quadratic optimization. Mathematical Programming, 95(2), 249277.CrossRefGoogle Scholar
Culverhouse, P., Yang, C., Annamalai, A. S. K., Sutton, R. and Sharma, S. (2015). Robust adaptive control of an uninhabited surface vehicle. Journal of Intelligent & Robotic Systems: Theory & Application, 78(2), 319338.Google Scholar
Du, P., Ouahsine, A., Toan, K. and Sergent, P. (2017). Simulation of ship maneuvering in a confined waterway using a nonlinear model based on optimization techniques. Ocean Engineering, 142, 194203.CrossRefGoogle Scholar
Du, P., Ouahsine, A., Sergent, P. and Hu, H. (2020). Resistance and wave characterizations of inland vessels in the fully-confined waterway. Ocean Engineering, 210, 107580.CrossRefGoogle Scholar
Fossen, T. I. (2011). Handbook of Marine Craft Hydrodynamics and Motion Control. New York: Wiley.CrossRefGoogle Scholar
Fossen, T. I., Breivik, M. and Skjetne, R. (2003). Line-of-sight path following of underactuated marine craft. IFAC Proceedings Volumes, 36(21), 211216.CrossRefGoogle Scholar
Gao, S., Liu, L., Wang, H. and Wang, A. (2022). Data-driven model-free resilient speed control of an autonomous surface vehicle in the presence of actuator anomalies. ISA Transactions, 127, 251258.CrossRefGoogle ScholarPubMed
Hewing, L., Wabersich, K. P., Menner, M. and Zeilinger, M. N. (2020). Learning-based model predictive control: toward safe learning in control. Annual Review of Control, Robotics, and Autonomous Systems, 3(1), 269296.CrossRefGoogle Scholar
Jin, X. (2016). Adaptive iterative learning control for high-order nonlinear multi-agent systems consensus tracking. Systems & Control Letters, 89, 1623.CrossRefGoogle Scholar
Kabzan, J., Hewing, L., Liniger, A. and Zeilinger, M. N. (2019). Learning-based model predictive control for autonomous racing. IEEE Robotics and Automation Letters, 4(4), 33633370.CrossRefGoogle Scholar
Lee, S. W., Toxopeus, S. L. and Quadvlieg, F. (2007). Free sailing manoeuvring tests on KVLCC1 and KVLCC2. Technical report, Maritime Research Institute Netherlands (MARIN), Wageningen, The Netherlands.Google Scholar
Liang, H., Li, H. and Xu, D. (2021). Nonlinear model predictive trajectory tracking control of underactuated marine vehicles: theory and experiment. IEEE Transactions on Industrial Electronics, 68(5), 42384248.CrossRefGoogle Scholar
Liu, J., Quadvlieg, F. and Hekkenberg, R. (2016). Impacts of the rudder profile on manoeuvring performance of ships. Ocean Engineering, 124, 226240.CrossRefGoogle Scholar
Liu, Z., Lu, X. and Gao, D. (2019). Ship heading control with speed keeping via a nonlinear disturbance observer. Journal of Navigation, 72(4), 10351052.CrossRefGoogle Scholar
Rosolia, U. and Borrelli, F. (2018). Learning model predictive control for iterative tasks. a data-driven control framework. IEEE Transactions on Automatic Control, 63(7), 18831896.CrossRefGoogle Scholar
SNAME (1950). Nomenclature for treating the motion of a submerged body through a fluid. The Society of Naval Architects and Marine Engineers, Technical and Research Bulletin No. 1-5, 1–15.Google Scholar
Sturm, J. F. (2002). Implementation of interior point methods for mixed semidefinite and second order cone optimization problems. Optimization Methods & Software, 17(6), 11051154.CrossRefGoogle Scholar
Wang, N., Gao, Y. and Zhang, X. (2021). Data-driven performance-prescribed reinforcement learning control of an unmanned surface vehicle. IEEE Transactions on Neural Networks and Learning Systems, 32(12), 54565467.CrossRefGoogle ScholarPubMed
Wang, L., Li, S., Liu, J. and Wu, Q. (2022). Data-driven path-following control of underactuated ships based on antenna mutation beetle swarm predictive reinforcement learning. Applied Ocean Research, 124, 103207.CrossRefGoogle Scholar
Weng, Y. and Wang, N. (2020). Data-driven robust backstepping control of unmanned surface vehicles. International Journal of Robust and Nonlinear Control, 30(9), 36243638.CrossRefGoogle Scholar
Yasukawa, H. and Yoshimura, Y. (2014). Introduction of MMG standard method for ship maneuvering predictions. Journal of Marine Science and Technology, 20(1), 3752.CrossRefGoogle Scholar
Yasukawa, H. and Yoshimura, Y. (2015). Introduction of MMG standard method for ship maneuvering predictions. Journal of Marine Science and Technology, 20(1), 3752.CrossRefGoogle Scholar
Zhang, H., Zhang, X. and Bu, R. (2022). Sliding mode adaptive control for ship path following with sideslip angle observer. Ocean Engineering, 251, 111106.CrossRefGoogle Scholar