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Robust adaptive control for dynamic positioning ships in the presence of input constraints

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Abstract

This note investigates the dynamic positioning control problem of full-actuated marine vehicles in the presence of system uncertainties and input constraints. In the control algorithm, the ship model uncertainty is approximated by the radial-basis-function neural networks. The effect of input saturation is analyzed by the auxiliary system, states of the auxiliary system are employed to develop the control scheme. By virtue of the dynamic surface control technique, the inherent problem of “explosion of complexity” problem occurred during conventional Backstepping design framework is avoided. The semi-global uniformly ultimately bounded stability of the closed-loop is guaranteed by Lyapunov theory. Since the minimal learning parameterization based adaptive law is derived, the number of parameters updated online is reduced to 6. Consider the servo-system uncertainty, the control inputs of interest are achieved as the measurable propeller pitch whose characteristics would facilitate the implementation of the algorithm in the practical engineering. Finally, by employing a supply vessel as the plant, comparison simulations are conducted to demonstrate the effectiveness and robustness of the proposed algorithm.

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Acknowledgements

This work is partially supported by the National Postdoctoral Program for Innovative Talents (Grant no. BX201600103) and the Natural Science Foundation of Liaoning Province (Grant no. 20170520189, 20180520039), the Program for Innovative Research Team in University (no. IRT17R13), the National Natural Science Foundation of China (Grant nos. 51679024), and the Fundamental Research Funds for the Central University (Grant no. 3132018301, 3132018304, 3132016315). The authors would like to thank anonymous reviewers for their valuable comments to improve the quality of this article.

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Correspondence to Baijun Tian.

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Zhang, G., Huang, C., Zhang, X. et al. Robust adaptive control for dynamic positioning ships in the presence of input constraints. J Mar Sci Technol 24, 1172–1182 (2019). https://doi.org/10.1007/s00773-018-0616-5

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