基于微分平坦的高超声速滑翔飞行器轨迹规划

针对高超声速滑翔飞行器再入轨迹规划问题,提出了一种基于微分平坦理论的三自由度轨迹生成方法。在分析纵向运动简化模型的微分平坦属性基础上,将纵向参考轨迹规划问题映射到平坦输出空间,消除微分动力学约束的同时降低系统设计的维数,进而提高求解效率;采用全局插值多项式参数化平坦输出函数,将问题转换为非线性规划问题求解;设计比例-微分反馈控制律跟踪纵向参考轨迹,同时采用航向角误差走廊控制侧向运动,实现三自由度轨迹生成。仿真分析表明所提出的方法能够较快生成满足多种约束且性能优化的飞行轨迹。

Differential flatness based rapid trajectory planning for hypersonic glide vehicle

For the trajectory planning problem in hypersonic glide vehicle, a differential flatness based three-degree-of-freedom trajectory generation approach is proposed. Based on the flatness analysis of the simplified longitudinal motion model, the reference longitudinal trajectory planning problem was mapped into the flat output space to improve the solving efficiency by eliminating the dynamical constraints and reducing the design dimension. Then the initial problem was transformed into a nonlinear programming problem utilizing global polynomial approximations to the flat outputs. To compensate for the effects of the earth rotation and external disturbances, a Proportion-Differentiation control based reference trajectory tracking controller was designed with good convergence capability. By integrating the lateral motion determined by the error corridor of heading angle based bank angle revision, the three-degree-of-freedom gliding trajectory was ultimately generated. Numerical simulations were conducted to validate the feasibility and effectiveness of the approach presented here.