快速爬升的奇异摄动中制导律设计

Singularly Perturbed Midcoursr Guidance Law for Quickly Ascending Air to Ground Missiles

为满足实际作战的要求，基于最优控制理论和奇异摄动方法，提出了一种可保证中远程空地导弹快速爬升到最优高度的中制导律．它由变系数最优爬升控制，最小能量巡航控制和最小能量下滑控制组成．为了减小爬升段控制对下滑段的影响，提出了一种新的控制逻辑．最后针对某型空地导弹进行了仿真．结果表明，该中制导律较好地满足了中远程空地导弹在中制导段的要求．本文的研究结果具有较好地工程参考价值．

Based on optimal control theory and singularly perturbed theory,a singularly perturbed midcourse guidance law that guarantees air to ground missiles to ascent quickly is proposed.This new guidance law is a composite control law consisting of three parts:optimal climbing control using variable weighting factor method,minimum energy cruising phase control and minimum energy switching phase control.Moreover,a new control logic is designed in order to remove influence of climbing control on switching phase.Simulation results of a certain type of air to ground missile are presents.It is shown that,with simple control algorithm and feasible onboard implementation,this law not only guarantees air to ground missiles to ascent quickly,but also satisfies the requirements of midcourse phases.The studies have important theoretical meaning and great value of engineering application.