利用高斯伪谱法求解具有最大横程的再入轨迹

为了使升力式飞行器再入大气层后取得最大横程，采用高斯伪谱方法求解最优再入轨迹。利用微分形式高斯伪谱方法将飞行器三自由度再入轨迹优化问题转化为非线性规划问题，选取高斯节点上的状态量和控制量作为待优化参数，并将最优性能指标选为横程最大，然后对再入轨迹进行了求解。通过与按最大升阻比飞行方案所得结果进行对比，表明按所提方法求取的再入轨迹优于后者。此外，仿真过程还说明高斯伪谱法对状态猜测值并不敏感，算法容易收敛，适用于轨迹优化问题的求解。

Solution of reentry trajectory with maximum cross range by using Gauss pseudospectral method

The Gauss pseudospectral method(GPM) is used to solve the reentry trajectory of the lifting vehicle with the maximum cross range.The trajectory optimal problem of three-dimension reentry for the vehicle is transformed into a nonlinear programming problem through GPM with differential form.During solving the optimal trajectory,the state and control variables on Gauss nodes are chosen as parameters to be optimized,and the optimal performance index is the maximum cross range.By comparison,the reentry trajector...