Unmanned aerial vehicle cluster confrontation control method and system based on fractional order kinetic equation

By constructing fractional-order game dynamics equations, reconstructing the state space of UAV swarms, and performing discrete dimensionality reduction, the problems of prediction distortion and high computational cost of integer-order models in complex environments are solved, enabling efficient and accurate decision-making for UAV swarm adversarial control.

CN122331606APending Publication Date: 2026-07-03INST OF AUTOMATION CHINESE ACAD OF SCI
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Patent Information

Application Number
CN202610667012.2
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2026-05-14
Publication Date
2026-07-03

AI Technical Summary

Technical Problem

Existing game theory models based on integer-order differential equations suffer from long-term time-domain prediction distortion and high computational cost in complex drone swarm adversarial scenarios, failing to meet the requirements for millisecond-level real-time decision-making.

Method used

A UAV swarm adversarial control method based on fractional dynamic equations is adopted. By acquiring the state data and historical trajectory data of the UAV swarm, the state space is reconstructed, fractional game dynamic equations are constructed, the memory effect is represented by the time fractional derivative and the spatial fractional operator is represented by the spatial nonlocal action, and discrete dimensionality reduction processing is performed to generate flight control commands.

Benefits of technology

It achieves high-precision prediction and efficient solution in complex dynamic environments, significantly reduces computational complexity, solves the problems of long-term prediction distortion and high-dimensional convergence difficulty, and improves the effectiveness of UAV swarm countermeasure control.

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Abstract

The invention provides an unmanned aerial vehicle cluster confrontation control method and system based on a fractional order kinetic equation, and the method comprises the steps: carrying out the long-range correlation detection of the historical trajectory data of an unmanned aerial vehicle cluster, and reconstructing the state space of the unmanned aerial vehicle cluster based on the long-range correlation characteristics and state data; the method comprises the following steps: constructing a fractional order game kinetic equation based on a state space, carrying out discrete dimension reduction processing on the equation to obtain an algebraic equation set, solving the algebraic equation set, generating a flight control instruction based on a solved strategy density evolution result corresponding to Nash equilibrium, and issuing the flight control instruction to an unmanned aerial vehicle cluster to control the unmanned aerial vehicle cluster to carry out game confrontation. According to the method, the defects of an existing integer order game model in the aspects of memory effect description, non-locality and abnormal diffusion are overcome, high-precision prediction and efficient solution of multi-dimensional nonlinear confrontation in a complex dynamic environment are achieved, the calculation complexity is remarkably reduced, and the problems of long-time-domain prediction distortion and high-dimensional convergence difficulty of a traditional model are fundamentally solved.
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