江涌, 王林波, 王蒙一, 宋勋, 安鹏飞, 于江龙. 基于覆盖理论的高速强机动目标协同围捕策略[J]. 工程科学学报, 2024, 46(7): 1169-1178. DOI: 10.13374/j.issn2095-9389.2023.10.13.001
引用本文: 江涌, 王林波, 王蒙一, 宋勋, 安鹏飞, 于江龙. 基于覆盖理论的高速强机动目标协同围捕策略[J]. 工程科学学报, 2024, 46(7): 1169-1178. DOI: 10.13374/j.issn2095-9389.2023.10.13.001
JIANG Yong, WANG Linbo, WANG Mengyi, SONG Xun, AN Pengfei, YU Jianglong. Coverage-based cooperative encirclement strategy against high-speed and highly maneuvering targets[J]. Chinese Journal of Engineering, 2024, 46(7): 1169-1178. DOI: 10.13374/j.issn2095-9389.2023.10.13.001
Citation: JIANG Yong, WANG Linbo, WANG Mengyi, SONG Xun, AN Pengfei, YU Jianglong. Coverage-based cooperative encirclement strategy against high-speed and highly maneuvering targets[J]. Chinese Journal of Engineering, 2024, 46(7): 1169-1178. DOI: 10.13374/j.issn2095-9389.2023.10.13.001

基于覆盖理论的高速强机动目标协同围捕策略

Coverage-based cooperative encirclement strategy against high-speed and highly maneuvering targets

  • 摘要: 为了应对进攻性高超声速飞行器带来的威胁与挑战,基于覆盖理论提出了一种针对高速强机动目标的分布式协同围捕策略. 首先,考虑飞行器与目标的机动特性,包括速度关系、最大过载比等参数,引入阿波罗尼奥斯圆的概念对围捕区域进行分析. 然后,基于重叠角概念提出冗余覆盖策略,根据目标的逃逸边界给出初始飞行器最优数量,设计围捕队形使多飞行器的围捕区域能够对目标逃逸边界完全覆盖,在此基础上考虑多种约束设计围捕高速强机动目标的分布式协同制导律,使多飞行器能够完成所设计的围捕队形,达到目标被飞行器合围后无法逃脱的效果. 最后,将上述覆盖策略分别在二维平面和三维空间进行数值仿真,验证了一致性协同制导律能够实现期望的围捕队形,所设计的围捕队形在目标作最大常值机动逃逸以及随机机动两种情况下均能捕获目标,证明了围捕队形和制导律的有效性和优越性.

     

    Abstract: Hypersonic vehicles, characterized by rapid flight speed and strong maneuverability, pose a significant threat as offensive weapons capable of swiftly delivering precise long-range strikes. However, current defensive aircraft lack sufficient maneuverability to effectively engage these high-speed and highly mobile targets. To address the challenges posed by offensive hypersonic vehicles, this paper proposes a distributed cooperative encirclement strategy for high-speed and highly maneuverable targets based on coverage theory. The strategy aims to address two main issues: first, how to design an optimal initial formation that ensures complete coverage of the target’s escape boundary by multiple aircraft; and second, how to stably achieve this formation under constraints such as nonlinear models, unknown target maneuvers, and directed communication topologies. To address these issues, first, the maneuvering characteristics of both the aircraft and the target are considered, including parameters such as speed relationships and maximum overload ratios. The concept of Apollonius circles is then introduced to analyze the encirclement area, laying the theoretical foundation for subsequent formation design. Second, the concept of Dubins curves is utilized to calculate the equivalent escape boundary of the target. Owing to the inherent limitations of a single aircraft in effectively covering the target’s escape boundary, the utilization of multiple aircraft to form a larger encirclement area and achieve complete coverage of the target’s potential escape routes is proposed. According to the concept of overlap angle, a redundant coverage strategy is introduced. The strategy enables the calculation of the optimal number of aircraft required at the outset. Subsequently, an encirclement formation is designed to facilitate the optimal combination of the multiple aircraft’s encirclement areas, and a comprehensive coverage of the target’s escape boundary is realized. Then, a distributed cooperative guidance law for encircling high-speed and highly maneuverable targets based on a consensus protocol is designed. This protocol sets the angles between the aircraft and the target in the initial encirclement formation as formation vectors, enabling multiple aircraft to achieve the designed encirclement formation and prevent the target from escaping once encircled. Finally, numerical simulations of the proposed coverage strategy in a two-dimensional plane are conducted. These simulations demonstrate the effectiveness of the designed consensus-based cooperative guidance law in achieving the initial encirclement formation under various constraints. Furthermore, these results verify the ability of the designed encirclement formation to effectively capture the target under both maximum constant maneuvering escape and random maneuvering scenarios. Three-dimensional simulation results are obtained through the combination of simulation results from two two-dimensional planes, further validating the scalability and superiority of the designed formation and guidance law.

     

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