仿鹰鸽捕食逃逸行为的多无人机分组对抗博弈方法

Multi-UAV grouping confrontation game method imitating the pursuit evasion behavior of eagles and pigeons

针对多无人机对抗问题,本文提出了一种三维空间中仿鹰鸽捕食逃逸行为的多无人机分组对抗博弈方法.在分析鹰鸽捕食逃逸行为的基础上,文章构建了多无人机博弈对抗系统模型,并定义了微分博弈中的连续可微值函数,证明了值函数满足Hamilton-Jacobi-Isaacs(HJI)方程,从而保证鞍点策略存在.使用最优分配方法,为仿鹰无人机一方设计了分组对抗分配策略,以解决多无人机追逃场景中的任务分配问题.本文对比仿真实验结果验证了所提出方法的有效性.

In this paper,to solve the problem of multi-unmanned aerial vehicle(UAV)confrontation,a multi-UAV con-frontation game system is established and a multi-UAV grouping confrontation game method is proposed in three-dimen-sional space.The multi-UAV confrontation game system model and the continuous differentiable value function in the differential games are defined,and it is proved that the value function satisfies the Hamiltonian-Jacobi-Isaacs(HJI)equation ensurings that the saddle point strategy exists.For the problem of multi-UAV confrontation,a grouping assignment strategy is designed to solve the task assignment problem in the scenario.Comparative simulation results verified the effectiveness of the proposed method in solving the multi-UAV confrontation game problem.