拦截机动目标的固定时间事件触发协同制导律

Event-Triggered Fixed-Time Cooperative Guidance Law Against Maneuvering Target

  • 摘要: 针对无向通信拓扑结构下的多枚导弹考虑角度约束同时攻击机动目标的问题,提出一种事件触发控制下的固定时间收敛分布式多弹协同制导律. 首先,建立导弹−目标相对运动学模型,在视线坐标系下解耦为沿视线和垂直视线两个方向. 其次,在视线切向考虑时间约束,提出一种基于事件触发机制的固定时间收敛协同制导律,保证攻击时间的一致性;在视线法向上考虑空间角度约束,提出一种基于固定时间收敛理论的分布式空间协同制导律,使视线角和视线角速率快速收敛到期望值,以满足脱靶量和终端角度约束;同时,针对目标机动引起的系统扰动,采用固定时间收敛的观测器进行在线估计与补偿. 利用Lyapunov理论,证明了所提出协同制导律的稳定性. 最后,通过数学仿真,验证了所提出的协同制导律的有效性.

     

    Abstract: To address the problem of simultaneously intercepting a maneuvering target with angular constraint with multiple missiles under undirected communication topology, a fixed-time convergence distributed multi-missile cooperative guidance law was proposed under event-triggered control method. A relative kinematic model between the missile and the target was first established, decoupling into two directions along the line of sight and perpendicular to the line of sight in the line-of-sight coordinate system. Subsequently, considering time constraints along the line-of-sight direction, a fixed-time convergence cooperative guidance law based on an event-triggered mechanism was introduced to ensure consistency in attack time. Meanwhile, spatial angle constraints along the line of sight normal were considered, and a distributed spatial cooperative guidance law based on fixed-time convergence theory was proposed to ensure rapid convergence of line-of-sight angles and angular rates to desired values and meet off-target deviation and terminal angle constraints. Additionally, an observer based on fixed-time convergence was employed to estimate and compensate for system disturbances induced by target maneuvers. The stability of the proposed cooperative guidance laws was verified using Lyapunov theory. Finally, mathematical simulations were conducted to validate the effectiveness of the proposed cooperative guidance law.

     

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