Special Issue: Safety Control Technology of Advanced Aircraft

Hierarchical fault-tolerant formation control for unmanned helicopters based on fully-actuated system approach

  • Yuan LU ,
  • Ke ZHANG ,
  • Bin JIANG
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  • 1.College of Automation Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China
    2.National Key Laboratory of Helicopter Dynamics,Nanjing 210016,China

Received date: 2025-05-22

  Revised date: 2025-09-22

  Accepted date: 2025-12-18

  Online published: 2025-12-25

Supported by

National Natural Science Foundation of China(62173180);Science Center Program of National Natural Science Foundation of China(62188101);Natural Science Foundation of Jiangsu Province(BZ2024037)

Abstract

To address the problem that the existing active fault-tolerant control methods for unmanned helicopters fail to consider the influence of fault estimation errors on the formation control accuracy, the game relationship between fault estimation errors and auxiliary controllers is established. By integrating zero-sum differential game theory and the full-actuated system approach, a hierarchical fault-tolerant formation control strategy is developed. Firstly, virtual control variables are introduced, and the high-order fully actuated system model of the unmanned helicopter with actuator fault is established, including the position outer-loop and attitude inner-loop high-order fully actuated subsystems. Subsequently, an adaptive fault estimator is designed to estimate the fault of unmanned helicopter effectively. Then, combining the fault estimation information and the fully actuated system approach, the position and attitude fault-tolerant controllers are designed in a hierarchical manner for the inner and outer loops of the unmanned helicopter, ensuring that the system state satisfies the formation control objective under faults. Furthermore, a zero-sum differential game model between auxiliary controller and fault estimation error is introduced, and the approximate optimal solution is obtained by adaptive dynamic programming algorithm under the dynamic event-triggered mechanism, effectively compensating for the impact of the fault estimation error on the formation performance at minimum cost. Finally, the effectiveness and superiority of the proposed control strategy are demonstrated by simulation experiments.The results show that, under fault conditions, the proposed control strategy can further improve the formation performance of the unmanned helicopter system.

Cite this article

Yuan LU , Ke ZHANG , Bin JIANG . Hierarchical fault-tolerant formation control for unmanned helicopters based on fully-actuated system approach[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2026 , 47(9) : 532279 -532279 . DOI: 10.7527/S1000-6893.2025.32279

References

[1] 吴希明, 牟晓伟. 直升机关键技术及未来发展与设想[J]. 空气动力学学报202139(3): 1-10.
  WU X M, MU X W. A perspective of the future development of key helicopter technologies[J]. Acta Aerodynamica Sinica202139(3): 1-10 (in Chinese).
[2] 邓景辉. 高速直升机关键技术与发展[J]. 航空学报202445(9): 1-20.
  DENG J H. Key technologies and development for high-speed helicopters[J]. Acta Aeronautica et Astronautica Sinica202445(9): 1-20 (in Chinese).
[3] FENG Y T, ZHOU Y, HO H W. Reinforcement learning based robust tracking control for unmanned helicopter with state constraints and input saturation[J]. Aerospace Science and Technology2024155: 109549.
[4] KUO C W, TSAI C C, LEE C T. Intelligent leader-following consensus formation control using recurrent neural networks for small-size unmanned helicopters[J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems202151(2): 1288-1301.
[5] WANG D D, ZONG Q, TIAN B L, et al. Neural network disturbance observer-based distributed finite-time formation tracking control for multiple unmanned helicopters[J]. ISA Transactions201873: 208-226.
[6] LI J Q, ZHANG G Q, ZHANG X K, et al. Integrating dynamic event-triggered and sensor-tolerant control: Application to USV-UAVs cooperative formation system for maritime parallel search[J]. IEEE Transactions on Intelligent Transportation Systems202425(5): 3986-3998.
[7] YU Z Q, LI J X, XU Y W, et al. Reinforcement learning-based fractional-order adaptive fault-tolerant formation control of networked fixed-wing UAVs with prescribed performance[J]. IEEE Transactions on Neural Networks and Learning Systems202435(3): 3365-3379.
[8] SUN J Y, XU Z M, ZHANG H G, et al. Adaptive distributed control of nonlinear multiagent systems with event-triggered for communication faults and dead-zone inputs[J]. IEEE Transactions on Cybernetics202454(10): 5877-5886.
[9] 张晓龙, 李荣, 阎高伟, 等. 小型无人直升机故障估计与容错控制[J]. 航空学报202445(): 415-428.
  ZHANG X L, LI R, YAN G W, et al. Fault estimation and fault tolerant control for small unmanned helicopters[J]. Acta Aeronautica et Astronautica Sinica202445(Sup 1): 415-428 (in Chinese).
[10] WANG X H, TAN C P. Output feedback active fault tolerant control for a 3-DOF laboratory helicopter with sensor fault[J]. IEEE Transactions on Automation Science and Engineering202421(3): 2689-2700.
[11] CHEN M, YAN K, WU Q X. Multiapproximator-based fault-tolerant tracking control for unmanned autonomous helicopter with input saturation[J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems202252(9): 5710-5722.
[12] 朱骏杰, 张柯, 姜斌, 等. 基于宽度神经网络的直升机预设时间容错控制[J]. 控制与决策202540(9): 2681-2692.
  ZHU J J, ZHANG K, JIANG B, et al. Prescribed-time fault-tolerant control of helicopter based on broad-learning neural network[J]. Control and Decision202540(9): 2681-2692 (in Chinese).
[13] YU Y J, GUO J, CHADLI M, et al. Distributed adaptive fuzzy formation control of uncertain multiple unmanned aerial vehicles with actuator faults and switching topologies[J]. IEEE Transactions on Fuzzy Systems202331(3): 919-929.
[14] QIAN M S, ZHANG Z, ZHENG Z, et al. Sliding mode control-based distributed fault tolerant tracking control for multiple unmanned aerial vehicles with input constraints and actuator faults[J]. International Journal of Robust and Nonlinear Control202333(15): 9150-9173.
[15] YANG H L, JIANG B, LIU H H T, et al. Attitude synchronization for multiple 3-DOF helicopters with actuator faults[J]. IEEE/ASME Transactions on Mechatronics201924(2): 597-608.
[16] LIU C, JIANG B, ZHANG K, et al. Hierarchical structure-based fault-tolerant tracking control of multiple 3-DOF laboratory helicopters[J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems202252(7): 4247-4258.
[17] MIAO Q Y, ZHANG K, JIANG B. Incremental fully actuated system approach-based prescribed-time fault-tolerant formation control of helicopters under multiple faults[J]. Aerospace Science and Technology2024151: 109334.
[18] ZHANG K, JIANG B, SHI P. Adjustable parameter-based distributed fault estimation observer design for multiagent systems with directed graphs[J]. IEEE Transactions on Cybernetics201747(2): 306-314.
[19] WANG Y A, SHEN B, ZOU L. Recursive fault estimation with energy harvesting sensors and uniform quantization effects[J]. IEEE/CAA Journal of Automatica Sinica20229(5): 926-929.
[20] SHEN Q, YUE C F, GOH C H, et al. Active fault-tolerant control system design for spacecraft attitude maneuvers with actuator saturation and faults[J]. IEEE Transactions on Industrial Electronics201966(5): 3763-3772.
[21] WANG B, SHEN Y Y, ZHANG Y M. Active fault-tolerant control for a quadrotor helicopter against actuator faults and model uncertainties[J]. Aerospace Science and Technology202099: 105745.
[22] 段广仁. 高阶系统方法Ⅰ: 全驱系统与参数化设计[J]. 自动化学报202046(7): 1333-1345.
  DUAN G R. High-order system approaches Ⅰ: Fully-actuated systems and parametric designs[J]. Acta Automatica Sinica202046(7): 1333-1345 (in Chinese).
[23] 段广仁. 高阶系统方法Ⅱ: 能控性与全驱性[J]. 自动化学报202046(8): 1571-1581.
  DUAN G R. High-order system approaches Ⅱ: Controllability and full-actuation[J]. Acta Automatica Sinica202046(8): 1571-1581 (in Chinese).
[24] 段广仁. 高阶系统方法Ⅲ: 能观性与观测器设计[J]. 自动化学报202046(9): 1885-1895.
  DUAN G R. High-order system approaches Ⅲ: Observability and observer design[J]. Acta Automatica Sinica202046(9): 1885-1895 (in Chinese).
[25] CUI K X, DUAN G R, HOU M Z. Discrete-time model reference tracking control for a class of combined spacecraft: A high-order fully actuated system approach[J]. IEEE Transactions on Automation Science and Engineering202421(4): 6966-6977.
[26] WANG X B, DUAN G R. Comprehensive reconstructions and predictive control for quadrotor UAV information gathering tracking missions based on fully actuated system approaches[J]. ISA Transactions2024147: 540-553.
[27] LAN J, LIU Y J, YU D X, et al. Time-varying optimal formation control for second-order multiagent systems based on neural network observer and reinforcement learning[J]. IEEE Transactions on Neural Networks and Learning Systems202435(3): 3144-3155.
[28] ZHANG B Y, LV M L, CUI S H, et al. Learning-based optimal cooperative formation tracking control for multiple UAVs: A feedforward-feedback design framework[J]. IEEE Transactions on Automation Science and Engineering202522: 11-23.
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