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Open Access

Consensus learning based coordinated formation control of multiple UAVs

Yong TANGa,bYingxin SHOUcBin XUd( )Zhenbao LIUa
School of Civil Aviation, Northwestern Polytechnical University, Xi’an 710072, China
AVIC (CHENGDU) UAS CO., LTD., Chengdu 610000, China
School of Automation, Southeast University, Nanjing 210096, China
Shenzhen Research Institute of Northwestern Polytechnical University, Shenzhen 518057, China

Peer review under responsibility of Editorial Committee of CJA.

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Abstract

This paper presents a hierarchical formation control strategy to address the challenges of multiple Unmanned Aerial Vehicles (UAVs) formation control within a cooperative consensus framework. The proposed strategy incorporates a reference command generation layer, which derives UAV attitude commands based on formation requirements, and a tracking control layer to ensure accurate execution. Collaborative variables, including trajectory position and flight speed, are defined using a three-dimensional track particle and autopilot model, enabling the development of a consensus-based formation control law. Desired attitude angles are computed through altitude-hold and coordinated-turn strategies. A sliding surface is designed based on reference models derived from flight quality metrics, while an adaptive controller compensates for aerodynamic model uncertainties. To enhance learning capabilities, a prediction error mechanism based on a series–parallel estimation model is introduced, enabling collaborative learning and the sharing of network weight estimation parameters within the multi-agent system. This facilitates the design of a distributed composite learning law. Lyapunov stability analysis confirms the local exponential stability of the tracking error. The simulations of a twelve-UAV formation, along with comparative analysis of two algorithms, demonstrate the system’s capability for formation maintenance and high-precision tracking control.

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Chinese Journal of Aeronautics

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Cite this article:
TANG Y, SHOU Y, XU B, et al. Consensus learning based coordinated formation control of multiple UAVs. Chinese Journal of Aeronautics, 2026, 39(2). https://doi.org/10.1016/j.cja.2025.103722

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Received: 29 November 2024
Revised: 25 December 2024
Accepted: 23 February 2025
Published: 28 July 2025
© 2025 The Authors. Chinese Society of Aeronautics and Astronautics.

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).