基于导航点改进Gauss伪谱法规划滑翔导弹航迹

Trajectory Planning for Gliding Missile Via Improved Gauss Pseudospectral Method Based on Navigation Points

为了研究滑翔导弹的航迹规划问题,利用优化理论,规划了多约束条件下导航点之间的航迹。基于导航点位置改进Gauss伪谱法(Gauss pseudospectral method,GPM),利用改进GPM离散控制变量和状态变量,将最优控制问题转化为非线性规划问题,利用改进序列二次规划算法求解。GPM求解分段航迹规划问题,需要迭代获取下段航迹的飞行时间,降低了算法效率。改进GPM能够有效弥补单纯以时间为自变量带来的诸多规划中的不足,具有更为宽泛的优化目标适应能力。算例结果表明,改进后的算法能够准确、高效地规划一条合理的航迹,满足飞行约束条件。

In order to study the trajectory planning problem of glide missile, the trajectory of the navigation points under the multi-constraint conditions was planned by using optimization theory. The improved Gauss pseudospectral method（ GPM） was based on navigation points. The control variables and state variables were discretized by improved GPM, and the optimal control problem was converted into a nonlinear programming problem, and the problem was solved by using the improved sequential quadratic programming （ SQP） method. When the segment path is planned by GPM, the flight time of the next trajectory is obtained via iterative method, and the efficiency of the algorithm is reduced. The improved GPM can effectively compensate the lack of time being taken as the independent variable in many trajectory planning, and it has a wider adaptability to optimize the target. The results show that the improved algorithm can accurately and efficiently plan a reasonable trajectory to meet the flight constraints.