Regular Papers

International Journal of Control, Automation and Systems 2022; 20(12): 4076-4089

Published online August 17, 2022

https://doi.org/10.1007/s12555-021-0749-x

© The International Journal of Control, Automation, and Systems

Learning-based Extended Dynamic Mode Decomposition for Addressing Path-following Problem of Underactuated Ships with Unknown Dynamics

Shijie Li, Ziqian Xu, Jialun Liu*, and Chengqi Xu

Wuhan University of Technology

Abstract

Path-following techniques of ships have received a lot of attention in recent years, to promote future autonomous ships and develop advanced autopilots. This paper deals with the path-following problem of underactuated ships without having prior knowledge regarding the hydrodynamic coefficients and ship parameters. A novel data-driven control strategy that combines Koopman operator theory and extended dynamic mode decomposition (EDMD) method and integrates with a model predictive control (MPC) framework is proposed. It makes use of data collected from experiments to learn the Koopman eigenfunctions of unknown ship dynamics via supervised learning, which are utilized as the lifting functions in the EDMD method to build a linear, lifted state-space model. The identified linear model acts as the predictor in the designed MPC controller, and a line-of-sight (LOS) algorithm is introduced as the guidance law for path-following. Simulation results show that the prediction model could provide sufficient prediction accuracy, and that it can be combined with MPC to achieve good path-following performance in a computationally efficient way.

Keywords Data-driven control, dynamic mode decomposition, Koopman operator, path-following, underactuated ships.

Article

Regular Papers

International Journal of Control, Automation and Systems 2022; 20(12): 4076-4089

Published online December 1, 2022 https://doi.org/10.1007/s12555-021-0749-x

Copyright © The International Journal of Control, Automation, and Systems.

Learning-based Extended Dynamic Mode Decomposition for Addressing Path-following Problem of Underactuated Ships with Unknown Dynamics

Shijie Li, Ziqian Xu, Jialun Liu*, and Chengqi Xu

Wuhan University of Technology

Abstract

Path-following techniques of ships have received a lot of attention in recent years, to promote future autonomous ships and develop advanced autopilots. This paper deals with the path-following problem of underactuated ships without having prior knowledge regarding the hydrodynamic coefficients and ship parameters. A novel data-driven control strategy that combines Koopman operator theory and extended dynamic mode decomposition (EDMD) method and integrates with a model predictive control (MPC) framework is proposed. It makes use of data collected from experiments to learn the Koopman eigenfunctions of unknown ship dynamics via supervised learning, which are utilized as the lifting functions in the EDMD method to build a linear, lifted state-space model. The identified linear model acts as the predictor in the designed MPC controller, and a line-of-sight (LOS) algorithm is introduced as the guidance law for path-following. Simulation results show that the prediction model could provide sufficient prediction accuracy, and that it can be combined with MPC to achieve good path-following performance in a computationally efficient way.

Keywords: Data-driven control, dynamic mode decomposition, Koopman operator, path-following, underactuated ships.

IJCAS
January 2025

Vol. 23, No. 1, pp. 1~88

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