Control limitation of a three-loop acceleration autopilot

Fan Jun-fang, Chen Ying, Dong Si-yu
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Abstract

The essential characteristics for a three-loop acceleration autopilot of tactical missile were presented from a frequency analysis perspective. The basic limitation of right-half-phase pole and zero from airframe static instability was analyzed using an open-loop crossover frequency inequality, which showed a consistent conclusion with the final overall stability condition in nature. To analyze the three-loop autopilot control capacity, the rate feedback, rate plus attitude feedback, and three loop feedback, were calculated and simplified based on engineering requirement, respectively. Then the equivalent actuator dynamics were introduced to compute the stability condition at high frequency. Such that the overall stability condition was obtained in explicit formulation. The results showed that the autopilot control capacity is dominated by actuator bandwidth, and a compromise should be determined between the flight performance and the actuator requirement for a statically instable missile.
三回路加速自动驾驶仪的控制限制
从频率分析的角度分析了战术导弹三回路加速度自动驾驶仪的基本特性。利用开环交叉频率不等式分析了机体静力失稳的右半相极点和零点的基本限制,得到了与机体最终总体稳定条件在本质上一致的结论。为了分析三回路自动驾驶仪的控制能力,分别根据工程要求对速率反馈、速率+姿态反馈和三回路反馈进行了计算和简化。然后引入等效作动器动力学来计算高频稳定条件。从而得到了整体稳定性条件的显式表达式。结果表明,自动驾驶仪的控制能力主要取决于作动器的带宽,对于静不稳定导弹,应在飞行性能和作动器要求之间做出妥协。
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