Dynamic inverse control of feedback linearization in ballistic correction based on nose cone swinging

It is a complicated nonlinear controlling problem to conduct a two-dimensional trajectory correction of rockets.By establishing the aerodynamic correction force mathematical model of rockets on nose cone swinging,the linear control is realized by the dynamic inverse nonlinear controlling theory and the three-time-scale separation method.The control ability and the simulation results are also tested and verified.The results show that the output responses of system track the expected curve well and the error is controlled in a given margin.The maximum correction is about±314 m in the lengthwise direction and±1 212 m in the crosswise direction from the moment of 5 s to the drop-point time when the angle of fire is 55°.Thus,based on the dynamic inverse control of feedback linearization,the trajectory correction capability of nose cone swinging can satisfy the requirements of two-dimensional ballistic correction,and the validity and effectiveness of the method are proved.

双旋尾控弹全周期自由旋振运动分析

目前,制导化改造的双旋构型成为了提升弹药打击精度的一种有效方法。研究一种新型双旋尾控弹的全周期扰动运动特性,基于理想轴承假设和非滚转坐标系,建立双旋尾控弹的7自由度弹道模型。采用系数冻结法和小扰动假设对弹道方程进行线性化,获得了全周期扰动运动方程,并将其表示为状态空间形式。选择理想弹道上的特征点,采用数值计算方法获得全周期自由扰动运动解的模态,双旋弹的自由扰动运动表现为一种衰减旋振运动,讨论不同初始偏差下旋振运动解的形式。分析数值计算结果表明:双旋尾控弹在纵侧向运动上表现出了强烈的耦合特征;扰动下的旋振运动可分为长周期和短周期两个阶段,攻角偏量收敛速度慢,且不同攻角偏量的模态幅值具有不同的分布规律,为角运动和制导率设计奠定了基础。