三回路驾驶仪控制下的导弹静不稳定性边界

Static-Unstable Stability Limitation of Missile Under Control of Three Loop Autopilot

导弹允许静不稳定的范围受到舵机频带制约。给出了三回路驾驶仪的极点配置设计方法,分析了静不稳定弹体系统的稳定性条件,推导出了舵机频带对于导弹静不稳定性约束的数学描述,并在工程范围内给出了导弹静不稳定性边界的评判准则,指出静不稳定弹体伪本征频率不应超过舵机频带的1/10,算例验证了结论的准确性。

The allowable missile static-unstable stability is limited by the bandwidth of actuator.The pole assignment method of three loop autopilot was firstly presented.Based on the analysis of the stability condition of static unstable missile body system,the mathematical description of the constraint by actuator bandwidth to the static-unstable stability is deducted,and the engineering criteria of static-unstable stability limitation is presented,which suggests the pseudo-natural frequency of static-unstable missile body should not exceed 10% of actuator bandwidth.The conclusion is validated by the result of an example.