考虑自动驾驶仪二阶动态特性的局部收敛导引律

Local Convergence Guidance Law with the Consideration of the Second-Order Autopilot Dynamics

探讨了在考虑驾驶仪二阶动态特性的情况下,拦截高速机动目标的末制导律设计问题。提出了一种局部稳定性理论,并应用该理论对系统的状态变量进行分析,根据变量对制导效果的影响,将系统分解为两个子系统,对子系统设计Lyapunov函数,证明其稳定性,并由局部稳定推出全局稳定。在整个设计过程中,仅考虑视线角速率的变化,使得设计过程大大简化,设计的导引律有效地克服了自动驾驶仪动态延迟对制导精度的影响。仿真结果表明,在目标做各类机动且自动驾驶仪存在较大滞后的情况下,该导引律仍具有较高的制导精度。

The design problem of the terminal guidance law for intercepting high-speed maneuvering target considering the second-order dynamic characteristics of the autopilot was discussed. A local stability theory was proposed and was used in analysis of the system state variables. According to the influence of variables on the guidance effect,the system was divided into two subsystems. Then we designed the Lyapunov function for the subsystems and proved their stabilities and launched the global stability from the local stability.Throughout the whole design process,only the change of line-of-sight rate was taken into considerationwhich simplified the design process greatly. The design of the guidance law could effectively overcome the impact of the autopilot dynamic delay on guidance accuracy. The simulation results show that,when the target is making maneuver and there is a large lag in the autopilot,the guidance law still has a high guidance precision.