【摘要】 基于一种求解最优控制问题的方法-Gauss伪谱法(Gauss Pseudospectral Method-GPM),研究了高超声速滑翔飞行器滑翔段迹优化问题。本文利用微分形式高斯伪谱方法将飞行器三自由度滑翔段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纵程最大,然后对滑翔段轨迹进行了求解。以某高超声速滑翔式飞行器为对象进行轨迹优化计算,仿真结果验证了本文的轨迹优化方法具有一定的精度和计算效率。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。更多还原

【Abstract】 Base on a method of optimization-Gauss Pseudospectral Method(GPM),study on the optimization of glide-phase for hypersonic glide vehicle.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.Calculating the trajectory optimization with a certain hypersonic glide vehicle,the result indicates GPM has some precision and efficiency.Moreover,the simulation process indicates GPM is not sensitive to the estimate of motion states and is easier to converge,and thus it is effective to solve trajectory optimization problems.更多还原