基于Lyapunov稳定性的扩展比例制导律设计

Augmented proportional guidance law design based on Lyapunov stability

基于一般弹目平面运动模型,以视线角、视线角速率为状态变量将弹目运动关系转换为二阶控制系统状态空间表达,把制导律设计转化为系统控制律的设计问题。在此控制模型的基础之上,利用Lyapunov稳定性定理,以视线角速率平方项作为能量函数设计了一种新型的扩展比例导引律,与其他扩展比例导引律相比,该导引律不需要增加任何制导观测信息,可以有效抑制噪声影响,并将基于Lyapunov稳定性的末制导律设计方法推广到有终端角约束的制导律设计中。仿真结果比较表明,该制导律可以提高制导精度、有效减小制导信息中的噪声影响。

Based on a general planar engagement model,taking the line-of-sight of missile-target and its rate as two states,a two order control system model is established.Using this model,new class of augmented proportional guidance law is developed based on the Lyapunov stability method.This method is also applied in guidance law design with specified requirement of terminal impact line-of-sight.The comparative analysis of the new class guidance law with the traditional PN and APN laws show that the new guidance laws can get superior performance with less miss distance and noise influence.