一种新的SAR成像末制导弹道快速优化方法

A New Method of Rapid Trajectory for SAR Imaging Terminal Guidance

基于一种求解最优控制的新方法——hp自适应伪谱法,对合成孔径雷达(SAR)成像末制导弹道优化问题进行了研究。以波束驻留时间最小为指标函数,考虑SAR成像约束、导弹过载约束、导弹动力学约束,建立了SAR成像末制导弹道优化模型,利用hp自适应伪谱法对模型求解。仿真结果表明,hp伪谱方法通过伪谱分段数和配点数目的自适应调节,融合了分段伪谱法计算效率高和全局伪谱法收敛速率快的优点,得到的弹道平滑、精度高,与采用直接打靶法的弹道优化相比,优化时间显著降低,可为SAR成像末制导工程设计提供有益参考。

Based on hp- adaptive pseudospectral method, a new way in solving optimal control program, SAR imaging terminal guidance trajectory optimization problem is studied. Firstly, minimal beam dwell time is selected as objective function. SAR imaging guidance trajectory optimization model is established by considerating SAR imaging constraints, missile overload constraints and missile dynamic constraints. Then the model is solved by hp- adaptive pseudospectral method. Simulation results show that hp- adap- tive pseudospectral method combines the merits of segment pseudospectral＇s high computational efficiency and globle pseudospeetral＇s fast convergence through self adaptive segment number and collocation num- ber. It can generate a smooth, precise optimal trajectory. Compared with trajectory optimization using di- rect shooting method, hp- adaptive pseudospectral method has less computation time. This method benefits to the project of SAR imaging terminal guidance.