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Finite-time path following control of a sailboat with actuator failure and unknown sideslip angle

具有执行器故障和未知侧滑角的帆船有限时间路径跟踪控制

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Abstract

Suffering from actuator failure and complex sideslip angle, the motion control of a sailboat becomes challenging. In this paper, an improved double finite-time observer-based line-of-sight guidance and finite-time control (IDFLOS-FC) scheme is presented for path following of sailboats. The salient features of the proposed IDFLOS-FC scheme are as follows: (1) Considering the problem of actuator failure, an actuator failure model is introduced into the dynamics model of a sailboat. (2) The time-varying sideslip angle of the sailboat is accurately observed by the double finite-time sideslip observers (DFSOs), which reduces the error in line-of-sight (LOS) guidance. (3) A radial basis function (RBF) neural network is used to fit the uncertainty of the model, and the upper bound of the sum of fault effects and external disturbances is estimated based on adaptive theory, so that the controller has accurate tracking and interference suppression. (4) According to the Lyapunov method, the system is finite-time stable. Finally, simulation was used to validate the effectiveness of the method.

摘要

目的

在实际航行中,无人帆船存在执行器故障问题以及未知漂角,使得帆船的路径跟踪变得极具挑战性。本文考虑了无人帆船的执行器故障,并设计了一种有限时间漂角观测器来观测未知漂角,以提高无人帆船的路径跟踪精度。

创新点

1. 设计双有限时间漂角观测器,能够观测时变的漂角,适用于更复杂的工况;2. 设计一种参数自适应调整的非奇异终端滑模,用以增强系统的鲁棒性;3. 采用RBF神经网络最小参数估计法对无人帆船模型的不确定性部分进行估计,设计一种基于自适应参数调整滑模的容错控制方法,并证明航向控制系统的误差具有有限时间收敛性。

方法

1. 设计双有限时间漂角观测器,用于观测未知漂角;2.考虑执行器故障,利用反步法与滑模控制法,推导出合适的控制律;3. 通过仿真模拟,中途增加故障的方式来证实所设计方案的鲁棒性和可靠性。

结论

1. 所设计的双有限时间漂角观测器能够精确观测对未知漂角;2. 所提出的 IDFLOS-FC 方案能在执行器失效、漂角随时间变化和未知外部扰动的条件下实现无人驾驶帆船的精确路径跟踪,并能在添加故障时精确跟踪所需的路径,这充分证明了 IDFLOS-FC 方案的可靠性和优越性。

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (Nos. 52271306, 52025111, and 51939003), the Central Guidance on Local Science and Technology Development Fund (No. 2023JH6/100100010), and the Fundamental Research Funds for the Central Universities (No. 3132023501), China.

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Contributions

Yujin WU designed the research. Yujin WU and Kangjian SHAO processed the corresponding data. Yujin WU wrote the first draft of the manuscript. Ning WANG and Zhongchao DENG helped to organize the manuscript. Yujin WU and Ning WANG revised and edited the final version.

Corresponding author

Correspondence to Ning Wang  (王宁).

Ethics declarations

Yujin WU, Kangjian SHAO, Ning WANG, and Zhongchao DENG declare that they have no conflict of interest.

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Electronic supplementary materials Lemmas S1–S3

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Wu, Y., Shao, K., Wang, N. et al. Finite-time path following control of a sailboat with actuator failure and unknown sideslip angle. J. Zhejiang Univ. Sci. A 24, 749–761 (2023). https://doi.org/10.1631/jzus.A2300184

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  • DOI: https://doi.org/10.1631/jzus.A2300184

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