This article investigates the leader-follower formation-containment (LFFC) control issue of underactuated unmanned surface vessels (USVs) system subject to unreliable communication interaction and the external disturbances. Firstly, an adaptive control scheme is established for the leaders to track the desired trajectory associated with preset formation configuration. Subsequently, by means of convex hull theory, a formation-containment control algorithm is developed to guide the followers into the specific area generated by the leaders. Nevertheless, the communication interaction among USVs is frequently unreliable, which is constrained by communication distance, equipment quality, and indeterminate cyber-attack. Worse still, this unreliability will magnify the unpredictable impact on system stability. Moreover, the signals generally undergo multilevel transmission from virtual leader to followers under LFFC structure, which will result in the amplification of unreliable ratio during the information transmissions. To address the aforementioned issues, an online-update auxiliary signal is constructed through the quasi-sliding mode manifold, which can suppress the impact of unreliable communication interaction. Theoretical analysis and numerical simulations are demonstrated to verify the feasibility and validity of the proposed control strategies.
ChenLLiCXiaoB, et al. (2019) Formation-containment control of networked Euler-Lagrange systems: an event-triggered framework. ISA Transactions86: 87–97.
2.
DaiS-LHeSLuoF, et al. (2017) Leader-follower formation control of fully actuated USVs with prescribed performance and collision avoidance. In: 2017 36th Chinese Control Conference (CCC). Dalian, 2017, [Preprint].
3.
DaiS-LHeSLinH, et al. (2018) Platoon Formation control with prescribed performance guarantees for USVs. IEEE Transactions on Industrial Electronics65(5): 4237–4246.
4.
DaiS-LHeSChenX, et al. (2020) Adaptive leader-follower formation control of nonholonomic mobile robots with prescribed transient and steady-state performance. IEEE Transactions on Industrial Informatics16(6): 3662–3671.
5.
DongXShiZLuG, et al. (2014) Formation-containment control for high-order linear time-invariant multi-agent systems. In: Proceedings of the 33rd Chinese Control Conference, Nanjing, 2014, [Preprint].
6.
Ferrari-TrecateGEgerstedtMBuffaA, et al. (2006) Laplacian sheep: a hybrid, stop-go policy for leader-based containment control. Hybrid Systems: Computation and Control: 212–226.
7.
FossenTI. Guidance and Control of Ocean Vessels. University of Trondheim, Doctors Thesis, Norway, Printed by John Wiley & Sons, Chichester, England, ISBN: 0 471 94113 1, 1999.
8.
FuMYuL (2018) Finite-time extended state observer-based distributed formation control for marine surface vehicles with input saturation and disturbances. Ocean Engineering159: 219–227.
9.
GongJJiangBMaY, et al. (2022) Distributed adaptive fault-tolerant formation control for heterogeneous multiagent systems with communication link faults. IEEE Transactions on Aerospace and Electronic Systems1: 1–11.
10.
HanLDongXLiQ, et al. (2016) Formation-containment control for second-order multi-agent systems with time-varying delays. Neurocomputing218: 439–447.
11.
HanTChiMGuanZH, et al. (2017) Distributed three‐dimensional formation containment control of multiple unmanned aerial vehicle systems. Asian Journal of Control19(3): 1103–1113.
12.
HaoYLinZHuK, et al. (2023) Layered fully distributed formation-containment tracking control for multiple unmanned surface vehicles. Ocean Engineering270: 113658.
13.
HeSDongCDaiSL, et al. (2021) Cooperative deterministic learning and formation control for underactuated USVs with prescribed performance. International Journal of Robust and Nonlinear Control32(5): 2902–2924.
14.
HuangBZhouBZhangS, et al. (2021) Adaptive prescribed performance tracking control for underactuated autonomous underwater vehicles with input quantization. Ocean Engineering221: 108549.
15.
HuangBSongSZhuC, et al. (2021) Finite-time distributed formation control for multiple unmanned surface vehicles with input saturation. Ocean Engineering233: 109158.
16.
HuangBZhangSHeY, et al. (2022) Finite-time anti-saturation control for Euler-Lagrange systems with actuator failures. ISA Transactions124: 468–477.
17.
LiXWenCChenC, et al. (2022) Adaptive resilient secondary control for microgrids with communication faults. IEEE Transactions on Cybernetics52(8): 8493–8503.
18.
LiJZhangGShanQ, et al. (2023) A novel cooperative design for USV-uav systems: 3-D mapping guidance and adaptive fuzzy control. IEEE Transactions on Control of Network Systems10(2): 564–574.
19.
LiJZhangGZhangW, et al. (2024a) Cooperative path following control of USV-UAVs considering low design complexity and command transmission requirements. IEEE Transactions on Intelligent Vehicles9(1): 715–724.
20.
LiJZhangGCabecinhasD, et al. (2024b) Prescribed performance path following control of USVs via an output-based threshold rule. IEEE Transactions on Vehicular Technology1: 1–12.
21.
LuYZhangGSunZ, et al. (2018) Adaptive Cooperative Formation control of autonomous surface vessels with uncertain dynamics and external disturbances. Ocean Engineering167: 36–44.
22.
LuoJShaoLin, et al. (2024). ‘Meta-learning with elastic prototypical network for fault transfer diagnosis of bearings under unstable speeds’, Reliability Engineering & System Safety, 245: 110001.
23.
MeiJRenWLiB, et al. (2015) Distributed containment control for multiple unknown second-order nonlinear systems with application to networked Lagrangian systems. IEEE Transactions on Neural Networks and Learning Systems26(9): 1885–1899.
24.
PengHHuangBJinM, et al. (2024) Distributed finite-time bearing-based formation control for underactuated surface vessels with Levant differentiator. ISA Transactions147: 239–251, [Preprint]. DOI: 10.1016/j.isatra.2024.02.018.
25.
QinJZhengWXGaoH, et al. (2016) Containment control for second-order multiagent systems communicating over heterogeneous networks. IEEE Transactions on Neural Networks and Learning Systems11: 1–13.
26.
WangF-YYangH-YZhangS-N, et al. (2016) Containment control for first-order multi-agent systems with time-varying delays and uncertain topologies. Communications in Theoretical Physics66(2): 249–255.
27.
WangJLiuJ-YYiH (2017) Formation control of unmanned surface vehicles with sensing constraints using exponential remapping method. Mathematical Problems in Engineering2017: 1–14.
28.
WangZLiYMaC, et al. (2023) Path-following optimal control of autonomous underwater vehicle based on deep reinforcement learning. Ocean Engineering268: 113407.
29.
WeiRBeardRWAtkinsEM (2005) A survey of consensus problems in multi-agent coordination. In Proceedings of the 2005, American Control Conference, 2005, Vol. 2005. [Preprint]. DOI: 10.1109/acc.2005.1470239.
30.
XiaoYShaoWang, et al. (2024). ‘Bayesian variational transformer: a generalizable model for rotating machinery fault diagnosis’, Mechanical Systems and Signal Processing, 207, 110936.
31.
XiongQLinPChenZ, et al. (2019) Distributed containment control for first-order and second-order multiagent systems with arbitrarily bounded delays. International Journal of Robust and Nonlinear Control29(18): 6657.
32.
XuTHaoYDuanZ (2020) Fully distributed containment control for multiple Euler-Lagrange systems over directed graphs: an event-triggered approach. IEEE Transactions on Circuits and Systems I: Regular Papers67(6): 2078–2090.
33.
YuLYeDSunZ (2021) Finite-time resilient attitude coordination control for multiple rigid spacecraft with communication link faults. Aerospace Science and Technology111: 106560.
34.
ZhouBHuangBSuY, et al. (2023) Two-layer leader-follower optimal affine formation maneuver control for networked unmanned surface vessels with input saturations. International Journal of Robust and Nonlinear Control34(5): 3631–3655.
35.
ZhouBHuangBSuY, et al. (2024) Interleaved periodic event-triggered communications-based distributed formation control for cooperative unmanned surface vessels. IEEE Transactions on Neural Networks and Learning Systems16: 1–13, 2024.3351218.
36.
ZhuCHuangBSuY, et al. (2021a) Finite-time rotation-matrix-based tracking control for autonomous underwater vehicle with input saturation and actuator faults. International Journal of Robust and Nonlinear Control32(5): 2925–2949.
37.
ZhuCZengJHuangB, et al. (2021b) Saturated approximation-free prescribed performance trajectory tracking control for Autonomous Marine Surface Vehicle. Ocean Engineering237: 109602.
38.
ZhuCHuangBLuY, et al. (2023) Distributed Affine Formation maneuver control of autonomous surface vehicles with event-triggered data transmission mechanism. IEEE Transactions on Control Systems Technology31(3): 1006–1017.
