拦截机动目标的一种鲁棒末制导律设计

Robust terminal guidance law for maneuvering targets

为拦截空间机动目标,将目标的机动加速度视为外界干扰,建立纵向平面内拦截器与目标间非线性相对运动的动力学模型;用反馈线性化与线性H∞理论相结合的方法,设计了一种新的鲁棒末制导律,并通过数字仿真结果验证了该末制导律的有效性。该末制导律对外界干扰具有较强的鲁棒性,既可在目标以多种形式机动逃逸时使拦截器能以特定速度直接撞击目标,还可使拦截过程中拦截器与目标的视线角速度保持在较小的数值范围。同时,文中的方法避免了应用非线性H∞理论求解Hamilton-Jacobi-Issacs偏微分不等式的繁琐,简化了求解过程。

A robust terminal guidance law was developed for intercepting maneuvering space targets that combines feedback linearization and linear H∞ control theory. The nonlinear relative dynamics between the interceptor and the target in the vertical plane is analyzed with the target acceleration viewed as an unknown disturbance. In the presence of various unknown target accelerations, the terminal guidance law not only guarantees direct impact with a pre-defined velocity on the target, but also keeps the line-of-sight rate between interception and target converging to zero. The guidance law isquite simple and does not need to solve the Hamihon-Jacobi-Issacs partial differential inequality in nonlinear H∞ control theory. The numerical simulations show the efficient, robust performance against disturbances in the target＇s maneuvers.