基于多分辨率技术的滑翔飞行器轨迹优化算法

A Multiresolution Technique-Based Gliding Vehicle Trajectory Optimization Algorithm

针对滑翔飞行器轨迹优化展开研究。采用了考虑地球扁率和自转的动力学模型,大气模型采用较精确的大气模型。滑翔式飞行器轨迹优化具有强非线性和多约束等特点,为克服传统优化方法对初始值较敏感且难以处理航路点等状态约束,同时在精度和计算速度之间取得一定的平衡,提出采用基于网格自适应的多分辨率技术对滑翔飞行器轨迹进行优化,并对航路点约束提出了相应的处理策略。针对包含航路点、禁飞区和终端约束的典型工程问题展开了轨迹优化研究。仿真实验表明,一条行程12400 km的滑翔弹道优化耗时约200 s,验证了该算法的有效性,对工程实践具有一定的参考意义。

The trajectory optimization problem of a gliding vehicle ia researched in this paper.A dynamics model including the Earth rotation and the J2 term perturbation is used to optimize the design,and the accurate atmospheric model is adopted.In the light of the strong nonlinearity and various constraint characteristics of trajectory optimization,traditional trajectory optimization technique is sensitive to the initial guess and it is hard to deal with constraints such as way point and so on;based on a simple and intuitive method to balance conflicting objectives such as accuracy of the solution,convergence,and speed of computation,a grid adaptive-based multiresolution technique is applied to the trajectory optimization of the gliding vehicle,and a corresponding strategy dealing with the state constraints is suggested.A practical trajectory optimization application including way point,prohibited areas and terminal constraints is presented.Numerical simulation indicates that optimizing a 12400 km range gliding trajectory satisfing all constraints costs about 200 seconds on a desktop computer,which proves high efficiency of the algorithm.