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Cooperative 4D trajectory planning for multi aerial vehicles combining receding horizon optimization and differential evolution algorithm in dynamic battlefield environment

Shaobo Zhai, Guangwen Li, Guo Wu, Kaizhong Nan, Haizheng Zhang, Mingshan Hou

2026Applied Soft Computing7 citationsDOIOpen Access PDF

Abstract

Aiming to the problem of cooperative trajectory planning for multi aerial vehicles in dynamic battlefield environment, this article develops a cooperative four-dimensional trajectory planning method combining receding horizon optimization (RHO) and differential evolution algorithm, and the main contributions are threefold: (1) An effective framework for multi aerial vehicles cooperative trajectory planning in dynamic environment is introduced. Therein, RHO serves as the outer layer, while the DE algorithm is employed in the inner loop to implement local trajectory planning. (2) A population diversity-based adaptive DE algorithm, named PDADE, is proposed to tackle the issues of slow convergence speed and low convergence accuracy in the classical DE algorithm. (3) A flight speed adjustment strategy based on the required time of arrival is presented to ensure synchronization of arrival times. Eventually, some numerical simulations are conducted, and the performance of the proposed PDADE algorithm is compared with other seven state-of-the-art swarm optimization algorithms. The results demonstrate that PDADE achieves optimal convergence accuracy and convergence speed.

Topics & Concepts

Differential evolutionComputer scienceTrajectoryHorizonBattlefieldMotion planningControl theory (sociology)Trajectory optimizationDifferential (mechanical device)Optimization algorithmAlgorithmTime horizonMathematical optimizationEvolutionary algorithmReal-time computingOptimization problemDynamic programmingDifferential dynamic programmingArtificial intelligenceRobotic Path Planning AlgorithmsMilitary Defense Systems AnalysisSpacecraft Dynamics and Control