基于混沌对立学习鲸鱼算法的多无人机协同干扰策略

    • 摘要: 面向组网雷达对抗场景,本文研究在有限干扰资源下联合优化多干扰机对多雷达的波束指向与功率分配问题,以实现对敌方组网雷达探测能力的最大化压制。为此,构建一个混合整数非线性规划模型,以最小化雷达网络对目标的联合检测概率为主目标,同时满足总干扰能量、波束指向可行域及干扰样式兼容性等物理约束;其中,感知压制效果由各雷达接收信干噪比(Signal to Interference plus Noise Ratio,SINR)决定的检测概率刻画,而干扰资源调度则需在离散干扰样式与连续功率变量之间协同优化。为求解该高维、非凸、混合变量耦合的复杂优化问题,提出一种混沌-对立-精英引导的鲸鱼优化算法(Chaotic Opposition-based Elite-guided Whale Optimization Algorithm, COL-WOA)。该方法融合混合混沌映射增强种群多样性、镜面对立学习提升初始解质量,并引入精英个体引导机制加速收敛,有效克服标准鲸鱼优化算法(Whale Optimization Algorithm,WOA)易陷入局部最优和收敛速度慢的缺陷。在不同干扰能量预算、空间部署构型与种群规模下的仿真实验表明,所提COL-WOA在降低雷达检测概率、提升干扰能效及实现稳定收敛方面均显著优于标准WOA及其他典型元启发式算法,并可通过调节干扰功率分配在压制效能与资源消耗之间实现帕累托权衡。

       

      Abstract: In the context of networked radar countermeasure scenarios, this paper studies the joint optimization of beam pointing and power allocation for multiple jammers against multiple radars under limited jamming resources, aiming to maximize the suppression of the enemy's networked radar detection capability. To this end, a mixed-integer nonlinear programming model is constructed, with the main objective of minimizing the joint detection probability of the radar network on the target, while satisfying physical constraints such as total jamming energy, beam pointing feasible region, and jamming pattern compatibility. Here, the suppression effect is characterized by the detection probability determined by the signal-to-interference-plus-noise ratio (SINR) received by each radar, and the jamming resource scheduling requires the coordinated optimization between discrete jamming patterns and continuous power variables. To solve this high-dimensional, non-convex, and complex optimization problem with coupled mixed variables, a chaotic-opposition-based elite-guided whale optimization algorithm (COL-WOA) is proposed. This method integrates a hybrid chaotic mapping to enhance population diversity, mirror opposition learning to improve the quality of initial solutions, and introduces an elite individual guidance mechanism to accelerate convergence, effectively overcoming the shortcomings of the standard whale optimization algorithm (WOA), such as being prone to local optima and slow convergence. Simulation experiments under different jamming energy budgets, spatial deployment configurations, and population sizes show that the proposed COL-WOA significantly outperforms the standard WOA and other typical meta-heuristic algorithms in reducing radar detection probability, improving jamming energy efficiency, and achieving stable convergence. Moreover, it can achieve a Pareto trade-off between suppression effectiveness and resource consumption by adjusting the jamming power allocation.

       

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