Abstract
In this paper, an event-triggered fixed-time adaptive neural network formation control method is proposed for underactuated multiple autonomous surface vessels with model uncertainties and unknown external disturbances under communication distance constraints. First, a time-varying barrier Lyapunov function is developed to obtain prescribed performances, such as formation error constraints, and avoid collisions in the communication range with distance limitations. Second, combining backstepping technology with neural networks, a fixed-time adaptive minimum learning parameter (MLP) is proposed to improve robustness against external disturbances and model uncertainties, and an adaptive law is designed to compensate for the approximation error of MLP. Third, a relative threshold-based event-triggered strategy is developed to greatly save communication resources without degrading control performance. Subsequently, Theorem analysis shows that all signals in the closed-loop system are bounded and practical fixed-time stable. Finally, the effectiveness of the proposed method is demonstrated by numerical simulations.
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The data that support the findings of this study are available on request from the corresponding author.
References
Tan G, Zhuang J, Zou J, Wan L (2021) Coordination control for multiple unmanned surface vehicles using hybrid behavior-based method. Ocean Eng 232:109147. https://doi.org/10.1016/j.oceaneng.2021.109147
Huang C, Zhang X, Zhang G (2019) Improved decentralized finite-time formation control of underactuated USVs via a novel disturbance observer. Ocean Eng 174:117–124. https://doi.org/10.1016/j.oceaneng.2019.01.043
Park BS, Yoo SJ (2019) An error transformation approach for connectivity-preserving and collision-avoiding formation tracking of networked uncertain underactuated surface vessels. IEEE Trans Cybern 49(8):2955–2966. https://doi.org/10.1109/TCYB.2018.2834919
Zhang J-X, Yang G-H (2018) Fault-tolerant leader-follower formation control of marine surface vessels with unknown dynamics and actuator faults. Int J Robust Nonlinear Control 28(14):4188–4208. https://doi.org/10.1002/rnc.4228
Ghommam J, Saad M (2018) Adaptive leader-follower formation control of underactuated surface vessels under asymmetric range and bearing constraints. IEEE Trans Veh Technol 67(2):852–865. https://doi.org/10.1109/tvt.2017.2760367
Park BS, Yoo SJ (2021) Connectivity-maintaining and collision-avoiding performance function approach for robust leader–follower formation control of multiple uncertain underactuated surface vessels. Automatica 127:109501. https://doi.org/10.1016/j.automatica.2021.109501
Liu L, Wang D, Peng Z, Chen CLP, Li T (2019) Bounded neural network control for target tracking of underactuated autonomous surface vehicles in the presence of uncertain target dynamics. IEEE Trans Neural Netw Learn Syst 30(4):1241–1249. https://doi.org/10.1109/TNNLS.2018.2868978
Huang C, Zhang X, Zhang G (2021) Adaptive neural finite-time formation control for multiple underactuated vessels with actuator faults. Ocean Eng 222:108556. https://doi.org/10.1016/j.oceaneng.2020.108556
Yu Y, Guo C, Yu H (2019) Finite-time PLOS-based integral sliding-mode adaptive neural path following for unmanned surface vessels with unknown dynamics and disturbances. IEEE Trans Autom Sci Eng 16(4):1500–1511. https://doi.org/10.1109/tase.2019.2925657
Qin H, Li C, Sun Y, Li X, Du Y, Deng Z (2020) Finite-time trajectory tracking control of unmanned surface vessel with error constraints and input saturations. J Franklin Inst 357(16):11472–11495. https://doi.org/10.1016/j.jfranklin.2019.07.019
Jin X (2016) Fault tolerant finite-time leader–follower formation control for autonomous surface vessels with LOS range and angle constraints. Automatica 68:228–236. https://doi.org/10.1016/j.automatica.2016.01.064
Li T, Zhao R, Chen CLP, Fang L, Liu C (2018) Finite-time formation control of under-actuated ships using nonlinear sliding mode control. IEEE Trans Cybern 48(11):3243–3253. https://doi.org/10.1109/TCYB.2018.2794968
Ba D, Li Y-X, Tong S (2019) Fixed-time adaptive neural tracking control for a class of uncertain nonstrict nonlinear systems. Neurocomputing 363:273–280. https://doi.org/10.1016/j.neucom.2019.06.063
Zhang J, Yu S, Yan Y (2019) Fixed-time extended state observer-based trajectory tracking and point stabilization control for marine surface vessels with uncertainties and disturbances. Ocean Eng 186:106109. https://doi.org/10.1016/j.oceaneng.2019.05.078
Yoo SJ, Park BS (2020) Guaranteed-connectivity-based distributed robust event-triggered tracking of multiple underactuated surface vessels with uncertain nonlinear dynamics. Nonlinear Dyn 99(3):2233–2249. https://doi.org/10.1007/s11071-019-05432-5
He S, Wang M, Dai S-L, Luo F (2019) Leader-follower formation control of usvs with prescribed performance and collision avoidance. IEEE Trans Industr Inf 15(1):572–581. https://doi.org/10.1109/tii.2018.2839739
Wei H, Zhao Y, Changyin S (2017) Adaptive neural network control of a marine vessel with constraints using the asymmetric barrier lyapunov function. IEEE Trans Cybern 47(7):1641–1651. https://doi.org/10.1109/TCYB.2016.2554621
Dong C, Ye Q, Dai S-L (2020) Neural-network-based adaptive output-feedback formation tracking control of USVs under collision avoidance and connectivity maintenance constraints. Neurocomputing 401:101–112. https://doi.org/10.1016/j.neucom.2020.03.033
Zheng Z (2020) Moving path following control for a surface vessel with error constraint. Automatica 118:109040. https://doi.org/10.1016/j.automatica.2020.109040
He S, Dong C, Dai S-L (2021) Adaptive neural formation control for underactuated unmanned surface vehicles with collision and connectivity constraints. Ocean Eng 226:108834. https://doi.org/10.1016/j.oceaneng.2021.108834
Jiao J, Wang G (2016) Event triggered trajectory tracking control approach for fully actuated surface vessel. Neurocomputing 182:267–273. https://doi.org/10.1016/j.neucom.2015.12.027
Li M, Li T, Gao X, Shan Q, Chen CLP, Xiao Y (2020) Adaptive NN event-triggered control for path following of underactuated vessels with finite-time convergence. Neurocomputing 379:203–213. https://doi.org/10.1016/j.neucom.2019.10.044
Gao S, Peng Z, Liu L, Wang H, Wang D (2021) Coordinated target tracking by multiple unmanned surface vehicles with communication delays based on a distributed event-triggered extended state observer. Ocean Eng 227:108283. https://doi.org/10.1016/j.oceaneng.2020.108283
Deng Y, Zhang X, Im N, Zhang G, Zhang Q (2020) Model-based event-triggered tracking control of underactuated surface vessels with minimum learning parameters. IEEE Trans Neural Netw Learn Syst 31(10):4001–4014. https://doi.org/10.1109/TNNLS.2019.2951709
Chen M, Ge SS, Ren B (2011) Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints. Automatica 47(3):452–465. https://doi.org/10.1016/j.automatica.2011.01.025
Yang H, Ye D (2018) Adaptive fixed-time bipartite tracking consensus control for unknown nonlinear multi-agent systems: An information classification mechanism. Inf Sci 459:238–254. https://doi.org/10.1016/j.ins.2018.04.016
Skjetne R, Fossen TI, Kokotović PV (2005) Adaptive maneuvering, with experiments, for a model ship in a marine control laboratory. Automatica 41(2):289–298. https://doi.org/10.1016/j.automatica.2004.10.006
Jia Z, Hu Z, Zhang W (2019) Adaptive output-feedback control with prescribed performance for trajectory tracking of underactuated surface vessels. ISA Trans 95:18–26. https://doi.org/10.1016/j.isatra.2019.04.035
Zheng Z, Huang Y, Xie L, Zhu B (2018) Adaptive trajectory tracking control of a fully actuated surface vessel with asymmetrically constrained input and output. IEEE Trans Control Syst Technol 26(5):1851–1859. https://doi.org/10.1109/tcst.2017.2728518
Wang D, Ge SS, Fu M, Li D (2021) Bioinspired neurodynamics based formation control for unmanned surface vehicles with line-of-sight range and angle constraints. Neurocomputing 425:127–134. https://doi.org/10.1016/j.neucom.2020.02.107
Xing L, Wen C, Liu Z, Su H, Cai J (2017) Event-triggered adaptive control for a class of uncertain nonlinear systems. IEEE Trans Autom Control 62(4):2071–2076. https://doi.org/10.1109/tac.2016.2594204
Johansson KH, Egerstedt M, Lygeros J, Sastry S (1999) On the regularization of Zeno hybrid automata. Syst Control Lett 38(3):141–150
Liu H, Zhang T (2013) Neural network-based robust finite-time control for robotic manipulators considering actuator dynamics. Robotics and Computer-Integrated Manufacturing 29(2):301–308. https://doi.org/10.1016/j.rcim.2012.09.002
Acknowledgements
This work was supported by the National Natural Science Foundation of China [Grant number 52171346], the Key Project of DEGP [Grant number 2021ZDZX1041], the Shenzhen Science and Technology Program [Grant number JCYJ20220530162014033], the 2019 “Chong First-class" Provincial Financial Special Funds Construction Project [Grant number 231419019], the Science and Technology Planning Project of Zhanjiang City [2021E05012, 2021A05023], and the Zhanjiang innovation and entrepreneurship team lead "pilot plan" project [Grant number 2020LHJH003].
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Liu, H., Lin, J., Li, R. et al. Event-triggered fixed-time adaptive neural formation control for underactuated ASVs with connectivity constraints and prescribed performance. Neural Comput & Applic 35, 13485–13501 (2023). https://doi.org/10.1007/s00521-023-08417-z
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DOI: https://doi.org/10.1007/s00521-023-08417-z