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基于覆蓋理論的高速強機動目標協同圍捕策略

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

  • 摘要: 為了應對進攻性高超聲速飛行器帶來的威脅與挑戰,基于覆蓋理論提出了一種針對高速強機動目標的分布式協同圍捕策略. 首先,考慮飛行器與目標的機動特性,包括速度關系、最大過載比等參數,引入阿波羅尼奧斯圓的概念對圍捕區域進行分析. 然后,基于重疊角概念提出冗余覆蓋策略,根據目標的逃逸邊界給出初始飛行器最優數量,設計圍捕隊形使多飛行器的圍捕區域能夠對目標逃逸邊界完全覆蓋,在此基礎上考慮多種約束設計圍捕高速強機動目標的分布式協同制導律,使多飛行器能夠完成所設計的圍捕隊形,達到目標被飛行器合圍后無法逃脫的效果. 最后,將上述覆蓋策略分別在二維平面和三維空間進行數值仿真,驗證了一致性協同制導律能夠實現期望的圍捕隊形,所設計的圍捕隊形在目標作最大常值機動逃逸以及隨機機動兩種情況下均能捕獲目標,證明了圍捕隊形和制導律的有效性和優越性.

     

    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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