基于表格形气动数据的滑翔飞行器轨迹优化

高精度的气动测力数据通常以表格形式给出.针对滑翔飞行器轨迹优化中表格形式气动数据的拟合问题，提出一种二维平滑保形拟合方法.首先对气动数据进行一维平滑保形拟合，接着采用张量积方法进行拟合维度的扩展.典型表格形式气动数据的拟合效果表明，在给定的拟合精度约束下，方法拟合的曲面二阶连续可导，并保持表格数据呈现出的单调性.采用该方法拟合的气动数据建立轨迹优化模型，采用自适应Legendre-Gauss-Radau配点法进行轨迹优化，以优化得到的最优弹道俯仰角作为开环控制指令进行弹道仿真，仿真结果与最优弹道的整体吻合度很高. 

Trajectory Optimization of Glide Vehicles Based on Tabular Aerodynamic Data

High-precision aerodynamic data is usually expressed in table form. To fitting tabular aerodynamic data in trajectory optimization of glide vehicles, a two-dimensional smoothing and shape-preserving fitting method was proposed. Firstly, one-dimensional smoothing and shape-preserving fitting was performed on the tabular aerodynamic data. And then the fitting dimension was expanded by the tensor product method. Finally, the proposed fitting method was validated by fitting typical tabular aerodynamic data. The results show that, under the given fitting accuracy constraints, the method can fit second-order continuous surfaces with the monotonicity maintained in the tabular data. Establishing a trajectory optimization model of glide vehicles based on the tabular aerodynamic data fitted by this method, and optimizing the trajectory using adaptive Legendre-Gauss-Radau collocation method, a trajectory simulation was carried out taking the pitch angle of the optimized trajectory as open-loop control commands. The trajectory optimization results correspond exactly with the simulation results.