空空导弹敏捷转弯的分段线性滑模控制设计

研究了空空导弹越肩发射敏捷转弯的复合执行机构姿态控制问题。针对一个直接侧向力装置安装在弹体尾部的导弹建立俯仰通道运动的数学模型,引入非光滑Lipschitz连续滑模控制,并利用非光滑分析的方法给出了分段线性滑模面的稳定性证明,然后采用气动舵控制作为等效控制,直接力控制作为切换控制的思想设计滑模控制律。数值仿真结果验证了分段线性滑模控制能改善常规线性滑模控制的性能,使得指令跟踪误差减小,复合控制效率提高。

Piecewise linear sliding mode control design for agile turn of air-to-air missile

The problem of autopilot design during agile turn phase of over the shoulder launch is investigated, for air-to-air missile with blended actuators. A four order dynamics is established for a missile under both low angle of attack condition and high angle of attack condition. Sliding mode control based on non smooth Lipschitz continuous surface is introduced, and the stability proof of piecewise linear sliding mode is presented by using non-smooth analysis. Elevator control and lateral force control are designed separately based on the idea of equivalent control and switch control. The numerical simulation results verify that compared with regular linear sliding mode control, piecewise linear sliding mode control has good performance in improving dynamic and reducing error, and is especially efficient for blended control.