高超声速飞行器多目标复杂约束滑翔弹道优化

摘要

针对气动热、过载、动压、控制量、航路点、禁飞区以及终端状态等复杂约束条件,提出高超声速飞行器多目标滑翔弹道优化方案.建立换极运动模型,简化部分约束条件的处理,并规避了传统运动模型的奇异问题;在此基础上,引入物理规划方法将多目标优化问题转换为反映设计者不同偏好的单目标优化问题;进一步基于分段Gauss伪谱方法将弹道单目标优化的最优控制问题转换为非线性规划问题进行求解.仿真结果表明,该方法获得的滑翔优化弹道能满足复杂约束要求,同时能够反映设计者的不同偏好.%A multi-objective gliding trajectory optimization scheme was proposed for hypersonic vehicles with complicated constraints, such as aerodynamic heating, overload, dynamic pressure, control variables, waypoint, no-fly zones, and terminal states.The pole-transformed motion equations were deduced to simplify some of the constraints and to avoid the singularity of the traditional motion equations.Furthermore, the physical programming was employed to convert the multi-objective optimization problem to a single optimization objective problem considering the designer′s preference.Based on the multi-phase Gauss pseudospectral method, the optimal control problem of the single objective trajectory optimization problem was converted to a nonlinear programming problem.Results demonstrate that the algorithm can generate optimal gliding trajectories satisfying all the complicated constraints while the designer′s preference can be taken into consideration.