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Peer-reviewedCC BY 4.0Mathematics

Dynamic Trust-Driven Resilient Finite-/Fixed-Time Formation Control for Multi-UAV Systems with Input Saturation Against Sybil Attacks

4 affiliations
  1. 1Nanjing Research Institute of Electronic Engineering, No.99 Houbiaoying Road, Nanjing, 210007, China [email protected] (H.W.)
  2. 2Purple Mountain Innovation Center for International Cooperation of Information System Technology, No.99 Houbiaoying Road, Nanjing, 210007, China
  3. 3School of Cyber Science and Engineering, Southeast University, No.02 Sipailou, Nanjing, 210096, China
  4. 4Purple Mountain Laboratories, No.09 Mozhou Road, Nanjing, 211111, China

Abstract

This paper investigates resilient finite-/fixed-time formation control of multi-UAV systems subject to actuator input saturation and Sybil attacks. A dynamic trust-based communication weight is proposed by integrating physical layer confidence assessment, an exponentially discounted trust accumulator, and a smooth nonlinear mapping. The mechanism adaptively updates the adjacency weights, preserves effective information exchange among legitimate UAVs, and gradually suppresses the influence of Sybil-induced links, thereby enabling a self-healing communication topology. Based on the resulting dynamic weighted topology, distributed finite-/fixed-time formation controllers are developed using smooth saturation functions to explicitly accommodate actuator constraints. The finite-time controller ensures formation tracking convergence within a finite settling time, whereas the fixed-time controller guarantees a practical settling-time bound for initial conditions belonging to a prescribed compact set, where the bound may depend on the selected set radius. Lyapunov stability analysis and homogeneity theory are employed to establish closed loop convergence and input boundedness properties. Numerical simulations demonstrate that the proposed approach effectively mitigates malicious communication influences, preserves connectivity among legitimate UAVs, and achieves resilient cooperative formation tracking.

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BibTeX
@article{wang2026dynamic,
  title = {{Dynamic Trust-Driven Resilient Finite-/Fixed-Time Formation Control for Multi-UAV Systems with Input Saturation Against Sybil Attacks}},
  author = {Hanghang Wang and Tangxing Liu and Chuan He and Ding Zhou},
  journal = {Mathematics},
  year = {2026},
  month = oct,
  doi = {10.3390/math14213960},
  url = {https://www.mdpi.com/2227-7390/14/21/3960},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Dynamic Trust-Driven Resilient Finite-/Fixed-Time Formation Control for Multi-UAV Systems with Input Saturation Against Sybil Attacks
AU  - Hanghang Wang
AU  - Tangxing Liu
AU  - Chuan He
AU  - Ding Zhou
PY  - 2026
DA  - 2026/10/29
JO  - Mathematics
DO  - 10.3390/math14213960
UR  - https://www.mdpi.com/2227-7390/14/21/3960
AB  - This paper investigates resilient finite-/fixed-time formation control of multi-UAV systems subject to actuator input saturation and Sybil attacks. A dynamic trust-based communication weight is proposed by integrating physical layer confidence assessment, an exponentially discounted trust accumulator, and a smooth nonlinear mapping. The mechanism adaptively updates the adjacency weights, preserves effective information exchange among legitimate UAVs, and gradually suppresses the influence of Sybil-induced links, thereby enabling a self-healing communication topology. Based on the resulting dynamic weighted topology, distributed finite-/fixed-time formation controllers are developed using smooth saturation functions to explicitly accommodate actuator constraints. The finite-time controller ensures formation tracking convergence within a finite settling time, whereas the fixed-time controller guarantees a practical settling-time bound for initial conditions belonging to a prescribed compact set, where the bound may depend on the selected set radius. Lyapunov stability analysis and homogeneity theory are employed to establish closed loop convergence and input boundedness properties. Numerical simulations demonstrate that the proposed approach effectively mitigates malicious communication influences, preserves connectivity among legitimate UAVs, and achieves resilient cooperative formation tracking.
SN  - 2227-7390
ER  -