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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 the plane-to-plane motion model of general projectile, the projectile motion relation is converted into the state space expression of the second-order control system by taking the view angle and the line-of-sight angular rate as the state variables and the guidance law design is transformed into the design of the system control law. Based on this control model, a new type of extended proportional navigation law is designed by using the Lyapunov stability theorem and the square term of line-of-sight angular rate as an energy function. Compared with other extended proportional navigation laws, Without adding any guidance observation information, the influence of noise can be effectively suppressed, and the terminal guidance law design method based on Lyapunov stability is extended to the guidance law design of terminal angle constraints. The simulation results show that the guidance law can improve the guidance accuracy and reduce the noise impact of guidance information effectively.