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建立了升力体再入滑翔飞行器的气动模型和多约束模型。多约束模型除了包括热流密度、气动过载、动压和终端约束等典型约束外,还建立了更符合实际任务的路径点和禁飞区约束模型,并利用路径点、禁飞区和终端约束划分弹道,在各段分别使用高斯伪谱法进行弹道求解,将多段多约束的最优控制问题转换为非线性规划问题。改进的准平衡滑翔条件保证了弹道平缓。最后通过Matlab仿真计算验证了所用分段高斯伪谱法规划弹道比传统的高斯伪谱法具有更精确的优化结果和更高的优化效率。
The aerodynamic model and multi-constraint model of the lift body reentry gliding aircraft are established. In addition to the typical constraints including heat flux density, aerodynamic overload, dynamic pressure and terminal constraints, the multi-constraint model establishes the more constrained models of path points and no-fly zones which are more practical tasks and uses the path points, no-fly zones and terminal constraints Trajectory, Gauss Pseudo-spectral method is used in each segment to solve the problem of trajectory, the optimal control problem of multi-segment multi-constraint is transformed into nonlinear programming problem. Improved quasi-balance gliding conditions to ensure a smooth trajectory. At last, the simulation results of Matlab prove that the proposed sub-Gaussian pseudospectral method has more accurate optimization results and higher optimization efficiency than traditional Gaussian pseudospectral method.