摘要
针对高超声速飞行器再入过程中存在航路点约束的问题,采用高斯伪谱法(GPM)求解了飞行器存在航路点约束的最优再入轨迹。给出了飞行器再入轨迹优化问题模型,并将航路点设为内点约束,选取总体飞行时间最短为最优性能指标,攻角和倾斜角作为控制量,终端状态受到位置和速度的约束。采用GPM将再入轨迹优化问题转换离散化为非线性规划问题,选取在各高斯点上的状态和控制变量作为优化参数。利用适合求解大型非线性规划问题的SNOPT软件包对参数最优化问题进行求解,得到再入的最优轨迹。仿真结果表明,采用方法得到的再入轨迹准确经过航路点上空,且再入过程各状态满足约束条件。
To aim at the existence of waypoint during reentry course,the Gauss pseudo spectral method(GPM)was used to solve the reentry trajectory of the hypersonic vehicle with waypoint constraints.Firstly,the model of hypersonic aircraft reentry trajectory optimization control problem was established.Waypoints were taken as interior-point constraints,and the minimum flight time was chosen as optimal performance index,and angle of attack and bank was chosen as control variable.Terminal state variable constraints were position and velocity constraints.Then GPM was applied to change trajectory optimization problem into nonlinear programming problem(NLP),and the state variables and control variables were selected as optimal parameters at all Gauss nodes.At last,optimal reentry trajectory was solved by solving the NLP with the help of SNOPT.The simulation results indicate that the reentry trajectory obtained by this method flies over the waypoints exactly,and all states satisfies the constraints.
作者
宋超
黎志强
刘旭
SONG Chao;LI Zhi-qiang;LIU Xu(Naval Aviation University,Yantai 264001,China)
出处
《航空计算技术》
2019年第1期19-23,共5页
Aeronautical Computing Technique
基金
国家自然科学基金项目资助(11602301)
关键词
轨迹优化
航路点
再入
高斯伪谱
trajectory optimization
waypoint
reentry
Gauss pseudo spectral
