中远程自寻的导弹双重指标最优滑模制导律设计

Dual-Control Optimal Sliding-Mode Guidance Law for Medium and Long Range Homing Missile

针对中远程自寻的导弹攻击初始段系统状态可观测性弱的问题,提出了一种双重指标最优滑模制导律.建立了弹目相对运动模型,基于被动跟踪的可观测性理论建立了可观测性指标;运用最优控制理论推导出提高滤波器性能和导弹命中精度的双重指标最优制导律;针对视线角速率偏离零点的问题,运用滑模变结构控制理论对双重指标最优制导律进行了改进,分析了双重指标最优滑模制导律的鲁棒性.仿真结果表明,与扩展比例导引相比,该制导律将滤波器性能提高了10倍左右,并对中远距离机动目标具有很强的适应性,能够获得良好的制导精度.

The difficulty in the Medium and Long Range Homing Missile（MLRHM） tracking a target is the low observability of the system during the early attacking period.Aiming at the problem,a Dual-Control Optimal Sliding-Mode Guidance Law（DCOSMG）was proposed.The relative motion model between missile and target was built.Based on the observability theory of passive tracking,an observability index was put forward.A dual-control optimal guidance law was deduced by using optimal guidance law,which can improve the filter performance and the hitting accuracy of missile.The dual-control optimal guidance law was developed into the dual-control optimal sliding-mode guidance law to overcome the sight angle rate＇s deviation from zero.The robustness of DCOSMG was analyzed.Simulation result shows that the guidance law can improve the filter performance 10 times and is more suitable for medium and long range maneuverable target than extended proportional navigation guidance law.The guidance precision is better.