Three-dimensional robust formation control for multiple uncrewed underwater vehicles based on Port-Hamiltonian theory under external disturbance

Authors

Zehua Jia, Huahuan Wang, Zhijian Sun, Dongsheng Guo, Weidong Zhang

Abstract

This article studies the formation control problem of multiple uncrewed underwater vehicles (UUVs) under time-varying external disturbances. The formation system is composed of a leader UUV and two follower UUVs. A three-dimensional (3D) formation robust control protocol of multi-UUV is presented based on the interconnection and damping assignment passivity-based control (IDA-PBC) method and the disturbance observer (DOB) technique. Firstly, the original UUV models are transformed into the Port-Hamiltonian (PH) structure. Next, the desired closed-loop PH system of the UUVs is constructed. With the IDA-PBC method, the design procedure of the formation controller is equal to solving matching equations, making the controller design intuitive. The DOB technique is introduced to compensate for the external time-varying disturbances to improve the robustness of the formation system. Finally, simulation results show that the proposed method accomplishes satisfactory formation performance and demonstrates the effectiveness of the proposed control protocol.

Citation

• Journal: 2024 International Conference on Intelligent Robotics and Automatic Control (IRAC)
• Year: 2024
• Volume:
• Issue:
• Pages: 454–460
• Publisher: IEEE
• DOI: 10.1109/irac63143.2024.10871253

BibTeX

@inproceedings{Jia_2024,
  title={{Three-dimensional robust formation control for multiple uncrewed underwater vehicles based on Port-Hamiltonian theory under external disturbance}},
  DOI={10.1109/irac63143.2024.10871253},
  booktitle={{2024 International Conference on Intelligent Robotics and Automatic Control (IRAC)}},
  publisher={IEEE},
  author={Jia, Zehua and Wang, Huahuan and Sun, Zhijian and Guo, Dongsheng and Zhang, Weidong},
  year={2024},
  pages={454--460}
}

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References

• Yang, T., Yu, S. & Yan, Y. Formation control of multiple underwater vehicles subject to communication faults and uncertainties. Applied Ocean Research vol. 82 109–116 (2019) – 10.1016/j.apor.2018.10.024
• Li, S. et al. Experimental Research on Formation Control of UUVs Based on Behavior Rules. 2022 41st Chinese Control Conference (CCC) 4495–4500 (2022) doi:10.23919/ccc55666.2022.9901535 – 10.23919/ccc55666.2022.9901535
• Tijjani, A. S., Chemori, A. & Creuze, V. A survey on tracking control of unmanned underwater vehicles: Experiments-based approach. Annual Reviews in Control vol. 54 125–147 (2022) – 10.1016/j.arcontrol.2022.07.001
• Yang, Y., Xiao, Y. & Li, T. A Survey of Autonomous Underwater Vehicle Formation: Performance, Formation Control, and Communication Capability. IEEE Communications Surveys & Tutorials vol. 23 815–841 (2021) – 10.1109/comst.2021.3059998
• Li, J., Xue, D. & Zhang, J. Multi-UUV Formation Coordination Control Based on Combination of Virtual Structure and Leader. 2018 IEEE International Conference on Mechatronics and Automation (ICMA) 1574–1579 (2018) doi:10.1109/icma.2018.8484453 – 10.1109/icma.2018.8484453
• Hao, L., Gu, H., Kang, F., Yang, H. & Yang, X. Improved Virtual Leader Based Formation Control for Nonholonomic Multi-UUV. Communications in Computer and Information Science 172–180 (2012) doi:10.1007/978-3-642-34381-0_20 – 10.1007/978-3-642-34381-0_20
• Juan, L., Xu, Z., Honghan, Z. & Xue, D. Trajectory Tracking Control of Multi-AUVs Formation based on Virtual Leader. 2019 IEEE International Conference on Mechatronics and Automation (ICMA) 291–296 (2019) doi:10.1109/icma.2019.8816396 – 10.1109/icma.2019.8816396
• Gao, Z. & Guo, G. Adaptive formation control of autonomous underwater vehicles with model uncertainties. International Journal of Adaptive Control and Signal Processing vol. 32 1067–1080 (2018) – 10.1002/acs.2886
• Luan, T., Bai, X., Zhang, X., Wang, M. & Sun, M. UUV two-phase formation and priority avoidance control considering steering amplitude limitation. Ocean Engineering vol. 312 119130 (2024) – 10.1016/j.oceaneng.2024.119130
• Li, J., Du, J., Li, Y. & Xu, G. Distributed Robust Prescribed Performance 3-D Time-Varying Formation Control of Underactuated AUVs Under Input Saturations and Communication Delays. IEEE Journal of Oceanic Engineering vol. 48 649–662 (2023) – 10.1109/joe.2023.3245671
• Pang, W., Zhu, D., Chu, Z. & Chen, Q. Distributed Adaptive Formation Reconfiguration Control for Multiple AUVs Based on Affine Transformation in Three-Dimensional Ocean Environments. IEEE Transactions on Vehicular Technology vol. 72 7338–7350 (2023) – 10.1109/tvt.2023.3242657
• Jia, Z., Qiao, L. & Zhang, W. Adaptive tracking control of unmanned underwater vehicles with compensation for external perturbations and uncertainties using Port-Hamiltonian theory. Ocean Engineering vol. 209 107402 (2020) – 10.1016/j.oceaneng.2020.107402
• Fabiani, F., Fenucci, D., Fabbri, T. & Caiti, A. A Distributed, Passivity-Based Control of Autonomous Mobile Sensors in an Underwater Acoustic Network. IFAC-PapersOnLine vol. 49 367–372 (2016) – 10.1016/j.ifacol.2016.10.432
• Fossen, T. I. Handbook of Marine Craft Hydrodynamics and Motion Control. (2011) doi:10.1002/9781119994138 – 10.1002/9781119994138
• Jia, Z., Lu, H., Chen, H. & Zhang, W. Robust Distributed Cooperative Rendezvous Control for Heterogeneous Marine Vehicles Using Model Predictive Control. IEEE Transactions on Vehicular Technology vol. 73 11002–11013 (2024) – 10.1109/tvt.2024.3376597
• Jia, Z., Lu, H., Li, S. & Zhang, W. Distributed dynamic rendezvous control of the AUV-USV joint system with practical disturbance compensations using model predictive control. Ocean Engineering vol. 258 111268 (2022) – 10.1016/j.oceaneng.2022.111268
• van der Schaft, A. Port-Hamiltonian systems: an introductory survey. Proceedings of the International Congress of Mathematicians Madrid, August 22–30, 2006 1339–1365 (2007) doi:10.4171/022-3/65 – 10.4171/022-3/65