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静不稳定控制技术是提高空空导弹机动性能的有效手段。针对静不稳定导弹的控制问题,基于非零给定点线性二次型调节器(LQR)理论设计了纵向两回路自动驾驶仪。首先给出一种基于英美弹体坐标系的静不稳定导弹状态空间模型,引入加速度计到质心的距离参量;然后使用非零给定点输出调节器理论,推导了针对一般状态空间表达式描述的系统的最优控制问题,求得了通用解和自动驾驶仪的结构和参数表达式;最后根据经典控制理论对权重系数的选择进行理论研究和仿真分析,并对所设计自动驾驶仪的鲁棒性能以及引入加速度计到质心的距离变量对控制效果的影响进行仿真分析。结果表明所设计的自动驾驶仪有较强的鲁棒性,对静不稳定导弹起到了较好的控制作用。
Static instability control technology is an effective way to improve the maneuverability of air-to-air missiles. Aiming at the control problem of the static unstable missile, a vertical two-loop autopilot is designed based on the non-zero given linear quadratic regulator (LQR) theory. Firstly, a state space model of the unstable missile based on the Anglo-Saxon coordinate system is introduced, and the distance parameter of the accelerometer to the centroid is introduced. Then, using the non-zero given point output regulator theory, The optimal control of the system is obtained and the structure and parameter expressions of the universal solution and the autopilot are obtained. Finally, the theoretical research and simulation analysis of the selection of the weight coefficients are carried out according to the classical control theory. The robustness of the designed autopilot And the distance variable from the accelerometer to the center of mass are introduced to simulate and analyze the influence of the control effect. The results show that the designed autopilot has strong robustness and plays a good control role on the unstable missile.